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1

Boyle, Phelim, and Mary Hardy. "Guaranteed Annuity Options." ASTIN Bulletin 33, no. 02 (2003): 125–52. http://dx.doi.org/10.2143/ast.33.2.503687.

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Under a guaranteed annuity option, an insurer guarantees to convert a policyholder's accumulated funds to a life annuity at a fixed rate when the policy matures. If the annuity rates provided under the guarantee are more beneficial to the policyholder than the prevailing rates in the market the insurer has to make up the difference. Such guarantees are common in many US tax sheltered insurance products. These guarantees were popular in UK retirement savings contracts issued in the 1970's and 1980's when long-term interest rates were high. At that time, the options were very far out of the mone
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2

Boyle, Phelim, and Mary Hardy. "Guaranteed Annuity Options." ASTIN Bulletin 33, no. 2 (2003): 125–52. http://dx.doi.org/10.1017/s0515036100013404.

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Under a guaranteed annuity option, an insurer guarantees to convert a policyholder's accumulated funds to a life annuity at a fixed rate when the policy matures. If the annuity rates provided under the guarantee are more beneficial to the policyholder than the prevailing rates in the market the insurer has to make up the difference. Such guarantees are common in many US tax sheltered insurance products. These guarantees were popular in UK retirement savings contracts issued in the 1970's and 1980's when long-term interest rates were high. At that time, the options were very far out of the mone
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3

Miyakoshi, Kazuki, Shun Ito, Hidetoshi Oya, Yoshikatsu Hoshi, and Shunya Nagai. "Synthesis of Formation Control Systems for Multi-Agent Systems under Control Gain Perturbations." Advances in Technology Innovation 5, no. 2 (2020): 112–25. http://dx.doi.org/10.46604/aiti.2020.4136.

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This paper proposed a linear matrix inequality (LMI)-based design method of non-fragile guaranteed cost controllers for multi-agent systems (MASs) with leader-follower structures. In the guaranteed cost control approach, the resultant controller guarantees an upper bound on the given cost function together with asymptotical stability for the closed-loop system. The proposed non-fragile guaranteed cost control system can achieve consensus for MASs despite control gain perturbations. The goal is to develop an LMI-based sufficient condition for the existence of the proposed non-fragile guaranteed
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4

Liu, Wen Wei. "Robust Quantized Guaranteed Cost Control." Applied Mechanics and Materials 275-277 (January 2013): 2646–49. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.2646.

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In this paper, the robust state feedback guaranteed cost control problem for discrete-time systems with signal quantization is studied. A dynamic quantization control strategy is proposed with updating the quantizer’s parameter such that the system is asymptotically stable and the performance index is with a upper bound.
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5

TAKAHASHI, Nobuya, Michio KONO, Kenji HIRANUMA, and Osamu SATO. "Generalization of Guaranteed Cost Control." Transactions of the Japan Society of Mechanical Engineers Series C 66, no. 645 (2000): 1531–36. http://dx.doi.org/10.1299/kikaic.66.1531.

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6

Zhang, Yingqi, Caixia Liu, and Xiaowu Mu. "Stochastic Finite-Time Guaranteed Cost Control of Markovian Jumping Singular Systems." Mathematical Problems in Engineering 2011 (2011): 1–20. http://dx.doi.org/10.1155/2011/431751.

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The problem of stochastic finite-time guaranteed cost control is investigated for Markovian jumping singular systems with uncertain transition probabilities, parametric uncertainties, and time-varying norm-bounded disturbance. Firstly, the definitions of stochastic singular finite-time stability, stochastic singular finite-time boundedness, and stochastic singular finite-time guaranteed cost control are presented. Then, sufficient conditions on stochastic singular finite-time guaranteed cost control are obtained for the family of stochastic singular systems. Designed algorithms for the state f
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7

Cai, Linqin, Zhuo Yang, Jimin Yu, and Zhenhua Zhang. "Switching Fuzzy Guaranteed Cost Control for Nonlinear Networked Control Systems." Mathematical Problems in Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/539617.

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This paper deals with the problem of guaranteed cost control for a class of nonlinear networked control systems (NCSs) with time-varying delay. A guaranteed cost controller design method is proposed to achieve the desired control performance based on the switched T-S fuzzy model. The switching mechanism is introduced to handle the uncertainties of NCSs. Based on Lyapunov functional approach, some sufficient conditions for the existence of state feedback robust guaranteed cost controller are presented. Simulation results show that the proposed method is effective to guarantee system’s global as
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8

Liu, Leipo, Hao Xing, Xiangyang Cao, Zhumu Fu, and Shuzhong Song. "Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems." Complexity 2018 (2018): 1–8. http://dx.doi.org/10.1155/2018/5790681.

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This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the ef
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9

Cao, Xiangyang, Leipo Liu, Zhumu Fu, Xiaona Song, and Shuzhong Song. "Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays." Journal of Control Science and Engineering 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/7051658.

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This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness
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10

Ariño, C., F. Bedate, and A. Sala. "Guaranteed Cost Piecewise Fuzzy Controller Design**." IFAC Proceedings Volumes 44, no. 1 (2011): 12789–94. http://dx.doi.org/10.3182/20110828-6-it-1002.02047.

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11

Liu, Leipo, Hao Xing, Xiangyang Cao, Xiushan Cai, and Zhumu Fu. "Nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems." Open Mathematics 17, no. 1 (2019): 716–27. http://dx.doi.org/10.1515/math-2019-0058.

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Abstract This paper considers the nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems(DPISS). Firstly, the positive observer and nonfragile positive observer are designed to estimate the actual state of the underlying systems, respectively. Secondly, by using the average dwell time(ADT) approach and multiple linear co-positive Lyapunov function (MLCLF), two guaranteed cost finite-time controller are designed and sufficient conditions are obtained to guarantee the corresponding closed-loop systems are guaranteed cost finite-time sta
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12

Wang, Limin, and Weiwei Dong. "Optimal Iterative Learning Fault-Tolerant Guaranteed Cost Control for Batch Processes in the 2D-FM Model." Abstract and Applied Analysis 2012 (2012): 1–21. http://dx.doi.org/10.1155/2012/748981.

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This paper develops the optimal fault-tolerant guaranteed cost control scheme for a batch process with actuator failures. Based on an equivalent two-dimensional Fornasini-Marchsini (2D-FM) model description of a batch process, the relevant concepts of the fault-tolerant guaranteed cost control are introduced. The robust iterative learning reliable guaranteed cost controller (ILRGCC), which includes a robust extended feedback control for ensuring the performances over time and an iterative learning control (ILC) for improving the tracking performance from cycle to cycle, is formulated such that
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13

Liu, Leipo, Xiangyang Cao, Zhumu Fu, and Shuzhong Song. "Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems." Advances in Mathematical Physics 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/2695894.

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The problem of guaranteed cost finite-time control of fractional-order positive switched systems (FOPSS) is considered in this paper. Firstly, a new cost function is defined. Then, by constructing linear copositive Lyapunov functions and using the average dwell time (ADT) approach, a state feedback controller and a static output feedback controller are constructed, respectively, and sufficient conditions are derived to guarantee that the corresponding closed-loop systems are guaranteed cost finite-time stable (GCFTS). Such conditions can be easily solved by linear programming. Finally, two exa
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14

Gao, Ze Feng, Jun Chen, and Fei Liu. "Guaranteed Cost Control for Fuzzy Bilinear Systems with Uncertain Parameters." Advanced Materials Research 433-440 (January 2012): 1723–29. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.1723.

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The main theme of this paper is to present robust guaranteed cost control laws for a class of fuzzy bilinear systems (FBS) with parametric uncertainties. First, the piecewise Lyapunov function (PLF) method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system, and then the robust guaranteed cost control law is also proposed. Second, based on the Schur complement and some variable transformations, some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system via linear matrix inequalities (LMIs).
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15

Yanling Yin. "Optimal Guaranteed Cost Control for Macroeconomic Systems." INTERNATIONAL JOURNAL ON Advances in Information Sciences and Service Sciences 5, no. 3 (2013): 470–76. http://dx.doi.org/10.4156/aiss.vol5.issue3.55.

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16

KUBO, Tomohiro. "Guaranteed Cost Control of Uncertain Neutral Systems." Transactions of the Institute of Systems, Control and Information Engineers 17, no. 2 (2004): 97–102. http://dx.doi.org/10.5687/iscie.17.97.

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17

Xie, Linbo, Huajing Fang, and Ying Zheng. "Guaranteed cost control for networked control systems." Journal of Control Theory and Applications 2, no. 2 (2004): 143–48. http://dx.doi.org/10.1007/s11768-004-0059-x.

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18

Zhu, Qiang Gang, Lei Liu, and Yun Sheng Wang. "The Study of MTO Online Manufacturers' Guaranteed Delivery Time Model with Order Batching." Advanced Materials Research 933 (May 2014): 824–29. http://dx.doi.org/10.4028/www.scientific.net/amr.933.824.

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To MTO on-line manufacturers, one of the most popular time-based competitive strategies is to widely advertise a uniform delivery time guarantee to all the customers. While providing time guarantee can be an effective marketing approach, it is critical for firms to reduce lead time to keep the promise. Decreasing lot size in batching is one of the most important levers to compress lead time in operation. This research expands existing blanket delivery-time guarantee models by integrating operation approach and marketing approach. The online manufacturers guaranteed delivery time model with ord
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19

Zhang, Yan, Yali Dong, and Tianrui Li. "Design of Robust Output Feedback Guaranteed Cost Control for a Class of Nonlinear Discrete-Time Systems." International Journal of Engineering Mathematics 2014 (September 10, 2014): 1–9. http://dx.doi.org/10.1155/2014/628041.

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This paper investigates static output feedback guaranteed cost control for a class of nonlinear discrete-time systems where the delay in state vector is inconsistent with the delay in nonlinear perturbations. Based on the output measurement, the controller is designed to ensure the robust exponentially stability of the closed-loop system and guarantee the performance of system to achieve an adequate level. By using the Lyapunov-Krasovskii functional method, some sufficient conditions for the existence of robust output feedback guaranteed cost controller are established in terms of linear matri
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20

Purwohadi, Sutrisno, and Theresa Irene Sumartoni. "Implications of Executorial Strength of Fiducia Security Certificate after Decision Constitutional Court No. 18/PUU-XVII/2019 Concerning Notary Assets." Sultan Agung Notary Law Review 3, no. 1 (2021): 69. http://dx.doi.org/10.30659/sanlar.3.1.69-79.

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Fiduciary material rights are guaranteed. The collateral objects are tangible, intangible and immovable objects that cannot be guaranteed with mortgages. Fiduciary collateral is widely used by finance companies. Debtor defaults, the leasing party executes fiduciary objects unilaterally, this is considered contrary to the 1945 Constitution. Article 15 paragraph (2) and Article 15 paragraph (3) of Act No 42 of 1999 concerning Fiduciary Guarantee is subjected to a material test. After Constitutional Court Number 18/PUU-XVII/2019, Execution of fiduciary guarantees after the decision of the, after
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21

Sun, Fengjie, Xianchang Wang, and Rui Zhang. "Fair Task Allocation When Cost of Task Is Multidimensional." Applied Sciences 10, no. 8 (2020): 2798. http://dx.doi.org/10.3390/app10082798.

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We consider the problem of fairly allocating indivisible tasks, focusing on a recently introduced notion of fairness called Minmax share guarantee. Minmax share (MMS) is a term of fairness guarantees that is defined to be the minimum cost that an agent can ensure for herself, if she were to partition the tasks into n bundles, and then receive the maximum cost bundle of tasks. However, the cost of tasks considered in previous work is single dimensional, and multidimensional situations have not been researched. In this work, we proposed an allocation algorithm that allocates tasks with multidime
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22

MAMMADOV, K. Sh, and N. N. MAMMADOV. "On a finding the guaranteed with respect to the cost function solution in the integer programming problem." Baku Mathematical Journal 2, no. 1 (2023): 69–76. http://dx.doi.org/10.32010/j.bmj.2023.06.

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In the paper the definitions are given of the guaranteed with respect to the cost function solution and guaranteed suboptimal solution in the integer programming problem. A method for finding a solution is developed that guarantees that the value of the functional is not less than a given number. This method is based on the variation of the coefficients of the functional in some intervals. The essence of this method is that the total income generated by raising and lowering market prices is greater. The calculation experiments based on the proposed method are given
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23

Palacios, Francisco, José Rodellar, and Josep M. Rossell. "A design procedure for overlapped guaranteed cost controllers." IFAC Proceedings Volumes 41, no. 2 (2008): 8701–6. http://dx.doi.org/10.3182/20080706-5-kr-1001.01471.

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24

Ning, Di, Xiaoqun Wu, and Jiakang Han. "Guaranteed Cost Impulsive Synchronization of Uncertain Multiplex Networks." IEEE Transactions on Circuits and Systems II: Express Briefs 69, no. 3 (2022): 1757–61. http://dx.doi.org/10.1109/tcsii.2021.3119078.

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25

Takada, Ryutaro, Yuzu Uchida, and Jun Yoneyama. "Guaranteed Cost Control Design for Bilinear Fuzzy Systems." IEEJ Transactions on Electronics, Information and Systems 132, no. 12 (2012): 1949–54. http://dx.doi.org/10.1541/ieejeiss.132.1949.

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26

Fujisaki, Y., Y. Kitajima, and Y. Oishi. "Probabilistic design of discrete-time guaranteed cost regulators." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 222, no. 7 (2008): 721–31. http://dx.doi.org/10.1243/09596518jsce560.

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A guaranteed cost regulator design is presented for uncertain linear discrete-time systems, where its objective is to find a state feedback such that a quadratic performance index is less than a given value for any uncertainty. The design is recast as a feasibility problem described by a parametrized linear matrix inequality (LMI). A notion of probabilistic solution that satisfies the LMI for almost all uncertainties is introduced and an efficient randomized algorithm based on the gradient method with random samples of the uncertainty is developed. The proposed algorithm always stops in a fini
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27

Chang, Xiao-Heng, Rui Huang, and Ju H. Park. "Robust Guaranteed Cost Control Under Digital Communication Channels." IEEE Transactions on Industrial Informatics 16, no. 1 (2020): 319–27. http://dx.doi.org/10.1109/tii.2019.2916146.

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28

Petersen, I. R. "Guaranteed cost LQG control of uncertain linear systems." IEE Proceedings - Control Theory and Applications 142, no. 2 (1995): 95–102. http://dx.doi.org/10.1049/ip-cta:19951732.

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29

McFarlane, Duncan C., and Ian R. Petersen. "A Simplified Approach to Guaranteed Cost LQG Control." IFAC Proceedings Volumes 29, no. 1 (1996): 3126–31. http://dx.doi.org/10.1016/s1474-6670(17)58156-2.

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30

Tzoneva, R., and I. Popchev. "Guaranteed cost control of discrete time uncertain systems." IFAC Proceedings Volumes 32, no. 2 (1999): 3720–23. http://dx.doi.org/10.1016/s1474-6670(17)56636-7.

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31

Park, Ju H., and O. M. Kwon. "Guaranteed cost control of time-delay chaotic systems." Chaos, Solitons & Fractals 27, no. 4 (2006): 1011–18. http://dx.doi.org/10.1016/j.chaos.2005.04.076.

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32

Yeng Chai Soh, Jian Liang Wang, and Guang-Hong Yang. "Reliable guaranteed cost control for uncertain nonlinear systems." IEEE Transactions on Automatic Control 45, no. 11 (2000): 2188–92. http://dx.doi.org/10.1109/9.887682.

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33

Liu, Sheng, and Liming Zhou. "Guaranteed cost control for saturated uncertain linear systems." Journal of Control Theory and Applications 7, no. 4 (2009): 400–404. http://dx.doi.org/10.1007/s11768-009-8018-1.

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34

Engin Yaz, Edwin. "Guaranteed-cost stabilization of non-linear stochastic systems." Optimal Control Applications and Methods 19, no. 1 (1998): 41–54. http://dx.doi.org/10.1002/(sici)1099-1514(199801/02)19:1<41::aid-oca619>3.0.co;2-v.

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35

Lu, Yingquan, Yaguang Kong, Wenhai Wang, and Youxian Sun. "Guaranteed Cost Sampled-Data Control for Refining Process." Developments in Chemical Engineering and Mineral Processing 9, no. 1-2 (2008): 15–24. http://dx.doi.org/10.1002/apj.5500090203.

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36

Soliman, Hisham M., Mostafa H. Soliman, and Mohammad F. Hassan. "Resilient guaranteed cost control of a power system." Journal of Advanced Research 5, no. 3 (2014): 377–85. http://dx.doi.org/10.1016/j.jare.2013.06.005.

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37

Li, Yuling, Rolf Johansson, Kun Liu, and Yixin Yin. "Guaranteed cost control design for delayed teleoperation systems." Journal of the Franklin Institute 352, no. 11 (2015): 5085–105. http://dx.doi.org/10.1016/j.jfranklin.2015.08.011.

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38

Lu, Wang Ping, Hai Dong Xu, Shao Yi Li, and Ling Tao. "Reliable Guaranteed Cost Control for Uncertain Time-Lag Systems of Actuator Failures." Key Engineering Materials 439-440 (June 2010): 960–65. http://dx.doi.org/10.4028/www.scientific.net/kem.439-440.960.

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Focusing on a type of uncertain continual time-lag systems, study on the designing problems of law in reliable guaranteed cost feedback control when actuators are in fault condition of continuous-gain. Apply of the processing method of linear matrix inequality, derived out the condition that reliable guaranteed cost exist, and give out the parameterized representation of all the reliable guaranteed cost control law. In this foundation, we can further obtained the designing method of optimal reliable guaranteed cost control law.
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39

Zhu, Qixin, Kaihong Lu, and Yonghong Zhu. "H∞ Guaranteed Cost Fault-Tolerant Control of Double-Fault Networked Control Systems: Piecewise Delay Method." Mathematical Problems in Engineering 2019 (January 3, 2019): 1–19. http://dx.doi.org/10.1155/2019/6348727.

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The term double-fault networked control system means that sensor faults and actuator faults may occur simultaneously in networked control systems. The issues of modelling and an H∞ guaranteed cost fault-tolerant control in a piecewise delay method for double-fault networked control systems are investigated. The time-varying properties of sensor faults and actuator faults are modelled as two time-varying and bounded parameters. Based on the linear matrix inequality (LMI) approach, an H∞ guaranteed cost fault-tolerant controller in a piecewise delay method is proposed to guarantee the reliabilit
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40

Wang, Guoxu, Jie Wu, and Xiaoqian Ma. "A guaranteed cost strategy for speed-limit control of vehicles based on map information." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 235, no. 12 (2021): 3127–37. http://dx.doi.org/10.1177/09544070211005577.

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This paper proposes a guaranteed cost strategy for longitudinal control of vehicles mainly considering speed-limit control based on map information. Firstly, a state-space model is developed to calculate the desired acceleration for the speed-limit control. Secondly, based on the formulated state-space model, a state-feedback guaranteed cost strategy is developed for the speed-limit control with system uncertainties considered. The stability of the proposed state-feedback guaranteed cost control system is discussed according to Lyapunov stability theory by means of linear matrix inequality app
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41

ZHANG, HAO, QIJUN CHEN, and HUAICHENG YAN. "DECENTRALIZED ROBUST CONTROL WITH GUARANTEED COST FOR HYBRID COMPLEX NETWORKS." International Journal of Information Acquisition 05, no. 03 (2008): 283–89. http://dx.doi.org/10.1142/s0219878908001661.

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In this paper, robust control of the decentralized guaranteed cost was studied for a class of complex network with impulsive effects and nonlinear perturbation. Based on the Lyapunov stability theorem, sufficient conditions for the decentralized guaranteed cost controllers were obtained. The design method of the decentralized guaranteed cost control law was given by solving a parameter-dependent Riccati matrix equation. An example is given to illustrate the effectiveness of the presented scheme.
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42

Tian, Yingming, Qin Xia, Yi Chai, Liping Chen, António M. Lopes, and YangQuan Chen. "Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays." Fractal and Fractional 5, no. 4 (2021): 141. http://dx.doi.org/10.3390/fractalfract5040141.

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This paper addresses the guaranteed cost leaderless consensus of delayed fractional-order (FO) multi-agent systems (FOMASs) with nonlinearities and uncertainties. A guaranteed cost function for FOMAS is proposed to simultaneously consider consensus performance and energy consumption. By employing the linear matrix inequality approach and the FO Razumikhin theorem, a delay-dependent and order-dependent consensus protocol is formulated for FOMASs with input delay. The proposed protocol not only guarantees the robust stability of the closed-loop system error but also ensures that the performance
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43

Li, Yan Long, Zhong Lin Zhang, Wei Hua Tian, and Yan Wang. "Guaranteed Cost Control of Multiple-Time-Delay T-S Fuzzy Descriptor Systems." Applied Mechanics and Materials 241-244 (December 2012): 1154–58. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.1154.

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In this paper, we focus on the problem of guaranteed cost control for a class of nonlinear systems described by the Takagi-Sugeno (T-S ) fuzzy descriptor model with multiple time delays. A quadratic cost function is used as a guaranteed performance index. The descriptor type of Lyapunov-Krasovskii functional is employed to analyze the asymptotic stability and design the guaranteed cost controller. The sufficient conditions for the existence of the guaranteed cost controller are given in terms of LMIs. At last, an illustrative example is provided to show the effectiveness of the proposed method
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44

TANG, CHUN-HUA. "Subjective value of the guarantees embedded in public cash-balance pension plans." Journal of Pension Economics and Finance 17, no. 2 (2017): 231–50. http://dx.doi.org/10.1017/s1474747216000263.

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AbstractSome public sectors provide cash-balance pension plans with guaranteed interest credits. We use the certainty-equivalence framework to derive the subjective value of the guarantee perceived by the participant. Numerical results show that in many scenarios the subjective value is lower than the cost of the guarantee derived by option pricing approaches, implying that public sectors potentially spend too much in providing the guarantee. However, the subjective value could be higher than the cost of the guarantee under some scenarios, depending on the participant's level of risk aversion,
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45

He, Han Lin, Xiao Dong Wang, and Wei Jun Li. "Guaranteed Cost Control of Saturated Time-Varying Delay Systems." Applied Mechanics and Materials 235 (November 2012): 129–34. http://dx.doi.org/10.4028/www.scientific.net/amm.235.129.

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This paper mainly considers the control problem of saturated time-varying delay systems. Applying the saturation degree function and the convex hull theory to handle the saturated terms, we put forward the guaranteed cost controller of the system according to the Lyapunov-Krasovskii theorem. Then we make use of Schur complement to convert the QMI (quadratic matrix inequality) to a LMI (linear matrix inequality) and so it can be easily used as controller synthesis. Finally, we apply the guaranteed cost controller to a two dimentional time-varying delay cellular neural networks, and the simulati
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46

Tian, Wei Hua, Li Xia Li, Wei Deng, and Yan Zhao. "Guaranteed Cost Control Approach for a Class of T-S Fuzzy Descriptor Delay Systems." Applied Mechanics and Materials 241-244 (December 2012): 1148–53. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.1148.

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A new guaranteed cost controller design approach for a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay is presented. Based on the fuzzy rules and weights, the less conservative sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities (LMIs). This method includes the interactions of the different subsystems into one matrix. And the design of optimal guaranteed cost controller can be formulated to a convex optimization problem. At last, a numerical example is given to illustrate the ef
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47

Huang, Zhi Qing, Yan Xin Zhang, and Zhong Jie Ren. "Reliable Guaranteed Cost Control for a Class of Large-Scale System Based on T-S Fuzzy Model." Applied Mechanics and Materials 20-23 (January 2010): 1409–15. http://dx.doi.org/10.4028/www.scientific.net/amm.20-23.1409.

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The problem of reliable guaranteed cost control with state feedback is discussed for a class of T-S fuzzy large-scale system with actuator failures. The sufficient condition of the existence of reliable guaranteed cost controller is put forward and the upper bound of the performance for the system is given. The reliable guaranteed cost controller is designed by a convex optimization method with linear matrix inequality constraints, which minimizes the cost upper bound of the closed-loop system.
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48

Li, Yu Ping, Chun Ping Ai, and Xue Liang Wang. "Unfragile Guaranteed-Cost Control of Uncertain State-Delay Sampling System." Applied Mechanics and Materials 513-517 (February 2014): 4261–64. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.4261.

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The unfragile guaranteed-cost control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile guaranteed-cost controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.
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Yin, Xinli, Luogeng Tian, Bailong Yang, Zhong Wang, and Kunyu Yang. "Guaranteed cost synchronization for second-order discrete-time multi-node networks with switching transmission topologies and cost limitations." Measurement and Control 54, no. 3-4 (2021): 179–88. http://dx.doi.org/10.1177/0020294021989741.

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The guaranteed cost synchronization control for discrete-time second-order leader-following multi-node networks with varying transmission topologies and cost limitations is investigated. First, the control law and its cost function are proposed to balance the tradeoff between the synchronization regulation and the control cost. Then, we derive the sufficient conditions without cost limitations to achieve guaranteed cost synchronization with varying transmission topologies, where the dimensions of matrix variables do not rely on the number of nodes. In addition, we calculate an upper bound on t
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Liu, Yurong, Hamid Reza Karimi, and Xiaohui Liu. "Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/653628.

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Abstract:
The guaranteed cost control problem is investigated for a class of nonlinear discrete-time systems with Markovian jumping parameters and mixed time delays. The mixed time delays involved consist of both the mode-dependent discrete delay and the distributed delay with mode-dependent lower bound. The associated cost function is of a quadratic summation form over the infinite horizon. The nonlinear functions are assumed to satisfy sector-bounded conditions. By introducing new Lyapunov-Krasovskii functionals and developing some new analysis techniques, sufficient conditions for the existence of gu
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