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1

Di Loreto, M., and J. J. Loiseau. "Stabilization of Neutral Time-Delay Systems." IFAC Proceedings Volumes 40, no. 23 (2007): 135–40. http://dx.doi.org/10.1016/s1474-6670(17)69276-0.

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2

Zhou, Bin, and Qingsong Liu. "Input delay compensation for neutral type time-delay systems." Automatica 78 (April 2017): 309–19. http://dx.doi.org/10.1016/j.automatica.2016.12.015.

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3

Chen, J. D., C. H. Lien, K. K. Fan, and J. S. Cheng. "Delay-dependent stability criterion for neutral time-delay systems." Electronics Letters 36, no. 22 (2000): 1897. http://dx.doi.org/10.1049/el:20001304.

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4

Bettaher, Marwa, Aicha Elhsoumi, and Bel Hadj Ali Naoui Saloua. "Neutral Time-Delay System: Prognosis for a Class of Neutral System with Variable Time Delay." European Journal of Advances in Engineering and Technology 6, no. 12 (2019): 7–12. https://doi.org/10.5281/zenodo.10692044.

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<strong>ABSTRACT</strong> The present paper proposes prognosis method for class of neutral systems with variable time delay. To generate an algebraic method to achieve system prognosis will used an unknown input observer (UIO) with a new form
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5

Li, Huiying, Guifang Li, and Chengwu Yang. "Delay-dependent H-infinity filtering for neutral time-delay systems." Journal of Control Theory and Applications 4, no. 3 (2006): 267–71. http://dx.doi.org/10.1007/s11768-006-5113-4.

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6

Sun, Jian, G. P. Liu, and Jie Chen. "Delay-dependent stability and stabilization of neutral time-delay systems." International Journal of Robust and Nonlinear Control 19, no. 12 (2009): 1364–75. http://dx.doi.org/10.1002/rnc.1384.

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7

Mazenc, Frederic. "Stability Analysis of Time-Varying Neutral Time-Delay Systems." IEEE Transactions on Automatic Control 60, no. 2 (2015): 540–46. http://dx.doi.org/10.1109/tac.2014.2342095.

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8

Denghao, Pang, and Jiang Wei. "Finite-Time Stability of Neutral Fractional Time-Delay Systems via Generalized Gronwalls Inequality." Abstract and Applied Analysis 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/610547.

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This paper studies the finite-time stability of neutral fractional time-delay systems. With the generalized Gronwall inequality, sufficient conditions of the finite-time stability are obtained for the particular class of neutral fractional time-delay systems.
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9

Xiong, Lianglin, Haiyang Zhang, Yongkun Li, and Zixin Liu. "Improved Stabilization Criteria for Neutral Time-Delay Systems." Mathematical Problems in Engineering 2016 (2016): 1–13. http://dx.doi.org/10.1155/2016/8682543.

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This paper addresses the stabilization conditions for neutral systems with mixed time delays. By constructing a novel class of Lyapunov functionals which contains an augmented Lyapunov functional, using a new class of improved Jensen’s like inequalities, two improved delay-dependent stability criteria are firstly established. Next, state feedback controllers are designed according to the stability conditions in different cases. Finally, five numerical examples are provided to demonstrate the theoretical results.
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10

Ochoa, G., J. E. Veláquez-Veláquez, V. L. Kharitonov, and S. Mondié. "Lyapunov matrices for neutral type time delay systems." IFAC Proceedings Volumes 40, no. 23 (2007): 244–49. http://dx.doi.org/10.1016/s1474-6670(17)69295-4.

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11

Tang, Mei Lan, and Xin Ge Liu. "On Stability of Neutral Systems with Time-Varying Delay." Applied Mechanics and Materials 50-51 (February 2011): 22–26. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.22.

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This paper investigates the delay-dependent robust stability of neutral systems with time-varying discrete delays and time-varying structured uncertainties. New delay-dependent stability criteria are obtained and formulated in the form of a linear matrix inequality. Since the criteria take the sizes of the neutral delay, discrete delay and derivative of discrete delay into account, they are less conservative than previous methods. Numerical example is given to indicate significant improvements over some existing results.
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12

Erol, H. Ersin, and Altuğ İftar. "Stabilization of decentralized descriptor-type neutral time-delay systems by time-delay controllers." Automatica 64 (February 2016): 262–69. http://dx.doi.org/10.1016/j.automatica.2015.11.022.

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13

Sun, Jian, and G. P. Liu. "On Improved Delay-dependent Stability Criteria for Neutral Time-delay Systems." European Journal of Control 15, no. 6 (2009): 613–23. http://dx.doi.org/10.3166/ejc.15.613-623.

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14

Castelan, E. B., I. Queinnec, and S. Tarbouriech. "Delay-independent robust stability conditions of neutral linear time-delay systems #." IFAC Proceedings Volumes 36, no. 19 (2003): 281–86. http://dx.doi.org/10.1016/s1474-6670(17)33339-6.

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15

Alaviani, S. Sh. "Delay-Dependent Exponential Stability of Linear Time-Varying Neutral Delay Systems." IFAC-PapersOnLine 48, no. 12 (2015): 177–79. http://dx.doi.org/10.1016/j.ifacol.2015.09.373.

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16

Huo, Yuhong, and Jia-Bao Liu. "Robust H∞ Control For Uncertain Singular Neutral Time-Delay Systems." Mathematics 7, no. 3 (2019): 217. http://dx.doi.org/10.3390/math7030217.

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The present paper attempts to investigate the problem of robust H ∞ control for a class of uncertain singular neutral time-delay systems. First, a linear matrix inequality (LMI) is proposed to give a generalized asymptotically stability condition and an H ∞ norm condition for singular neutral time-delay systems. Second, the LMI is utilized to solve the robust H ∞ problem for singular neutral time-delay systems, and a state feedback control law verifies the solution. Finally, four theorems are formulated in terms of a matrix equation and linear matrix inequalities.
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17

Wang, Sheng, and Shaohua Long. "Finite-time stability analysis of singular neutral systems with time delay." AIMS Mathematics 9, no. 10 (2024): 26877–901. http://dx.doi.org/10.3934/math.20241308.

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&lt;p&gt;This paper studies the finite-time stability problem for a class of singular neutral systems by using the Lyapunov-Krasovskii function approach and regular neutral system theory. The considered systems involve not only the delayed version of the state, but also the delayed version of the derivative of the state. Some sufficient conditions are presented to ensure that the considered systems are regular, impulse-free, and finite-time stable. Three numerical examples are given to illustrate the effectiveness of the proposed methods.&lt;/p&gt;
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18

Chen, Yonggang, Shumin Fei, and Yongmin Li. "Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback." Automatica 52 (February 2015): 242–47. http://dx.doi.org/10.1016/j.automatica.2014.11.015.

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19

Farokhi Moghadam, Hassan, and Nastaran Vasegh. "Robust PID Stabilization of Linear Neutral Time-Delay Systems." International Journal of Computers Communications & Control 9, no. 2 (2014): 201. http://dx.doi.org/10.15837/ijccc.2014.2.39.

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20

Vyhlidal, Tomas, and Pavel Zitek. "Modification of Mikhaylov Criterion for Neutral Time-Delay Systems." IEEE Transactions on Automatic Control 54, no. 10 (2009): 2430–35. http://dx.doi.org/10.1109/tac.2009.2029301.

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21

Xia, Hongwei, Pingping Zhao, Li Li, Yanmin Wang, and Aiguo Wu. "Improved Stability Criteria for Linear Neutral Time-Delay Systems." Asian Journal of Control 17, no. 1 (2014): 343–51. http://dx.doi.org/10.1002/asjc.861.

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22

Chen, Wu-Hua, Xiaomei Lu, and Guangdeng Zong. "Impulsive stabilization for linear neutral-type time-delay systems." International Journal of Robust and Nonlinear Control 28, no. 17 (2018): 5618–33. http://dx.doi.org/10.1002/rnc.4343.

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23

Song, Bo, Shengyuan Xu, and Yun Zou. "Delay-Dependent Robust H ∞ Filtering for Uncertain Neutral Stochastic Time-Delay Systems." Circuits, Systems & Signal Processing 28, no. 2 (2008): 241–56. http://dx.doi.org/10.1007/s00034-008-9079-y.

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24

Yue, D., S. Won, and O. Kwon. "Delay dependent stability of neutral systems with time delay: an LMI approach." IEE Proceedings - Control Theory and Applications 150, no. 1 (2003): 23–27. http://dx.doi.org/10.1049/ip-cta:20030080.

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25

Liu, Qingsong. "Delay Compensation of Neutral-Type Time-Delay Control Systems by Cascaded-Observers." Journal of Systems Science and Complexity 36, no. 3 (2023): 1053–69. http://dx.doi.org/10.1007/s11424-023-1047-x.

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26

Hua, Mingang, Fengqi Yao, Pei Cheng, Juntao Fei, and Jianjun Ni. "Delay-dependent L 2 – L ∞ filtering for fuzzy neutral stochastic time-delay systems." Signal Processing 137 (August 2017): 98–108. http://dx.doi.org/10.1016/j.sigpro.2017.01.028.

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27

Wang, Ting, Tao Li, Guobao Zhang, and Shumin Fei. "Delay-Derivative-Dependent Stability for Neutral Systems with Time-Varying Delay and Nonlinearity." Arabian Journal for Science and Engineering 42, no. 7 (2017): 3033–42. http://dx.doi.org/10.1007/s13369-017-2462-x.

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28

Ucun, L., and I. B. Küçükdemiral. "Delay-Dependent Feedforward Control of Uncertain Neutral Time-Delay Systems via Dynamic IQCs." IFAC Proceedings Volumes 45, no. 13 (2012): 213–18. http://dx.doi.org/10.3182/20120620-3-dk-2025.00059.

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29

Ucun, L., and I. B. Küçükdemiral. "Robust delay-dependent feedforward control of neutral time-delay systems via dynamic IQCs." International Journal of Systems Science 45, no. 5 (2013): 858–72. http://dx.doi.org/10.1080/00207721.2012.740094.

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30

Perdon, Anna Maria, and Maria Anderlucci. "Observers and State Reconstructions for Linear Neutral Time-Delay Systems." IFAC Proceedings Volumes 41, no. 2 (2008): 1261–66. http://dx.doi.org/10.3182/20080706-5-kr-1001.00217.

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31

Song, Gongfei, Zimeng Zhang, Yanan Zhu, and Tao Li. "Discrete-time control for highly nonlinear neutral stochastic delay systems." Applied Mathematics and Computation 430 (October 2022): 127313. http://dx.doi.org/10.1016/j.amc.2022.127313.

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32

Ochoa, G., S. Mondié, and V. L. Kharitonov. "Computation of critical parameters for neutral type time delay systems." IFAC Proceedings Volumes 43, no. 2 (2010): 177–82. http://dx.doi.org/10.3182/20100607-3-cz-4010.00033.

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33

Leite, V. J. S., P. L. D. Peres, E. B. Castelan, and S. Tarbouriech. "H∞ GUARANTEED COST OF NEUTRAL SYSTEMS WITH TIME-VARYING DELAY." IFAC Proceedings Volumes 39, no. 9 (2006): 447–52. http://dx.doi.org/10.3182/20060705-3-fr-2907.00077.

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34

Kharitonov, V., S. Mondie, and J. Collado. "Exponential estimates for neutral time-delay systems: an LMI approach." IEEE Transactions on Automatic Control 50, no. 5 (2005): 666–70. http://dx.doi.org/10.1109/tac.2005.846595.

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35

Koumboulis, Fotis N., George E. Panagiotakis, and Paraskevas N. Paraskevopoulos. "Exact model matching of left invertible neutral time delay systems." International Journal of Modelling, Identification and Control 3, no. 4 (2008): 376. http://dx.doi.org/10.1504/ijmic.2008.020546.

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36

Aliseyko, A. N. "Lyapunov matrices for neutral time-delay systems with exponential kernel." Systems & Control Letters 131 (September 2019): 104497. http://dx.doi.org/10.1016/j.sysconle.2019.104497.

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37

Liu, Pin-Lin. "Stabilization criteria for neutral time delay systems with saturating actuators." Journal of the Franklin Institute 347, no. 8 (2010): 1577–88. http://dx.doi.org/10.1016/j.jfranklin.2010.06.009.

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38

Rabah, R., G. M. Sklyar, and P. Yu Barkhayev. "On Exact Controllability of Time-Delay Systems of Neutral Type." Ukrainian Mathematical Journal 68, no. 6 (2016): 910–27. http://dx.doi.org/10.1007/s11253-016-1265-7.

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39

Sakthivel, R., K. Mathiyalagan, and S. Marshal Anthoni. "Robust stability and control for uncertain neutral time delay systems." International Journal of Control 85, no. 4 (2012): 373–83. http://dx.doi.org/10.1080/00207179.2011.653832.

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40

Alaviani, S. Sh. "Controllability of a class of nonlinear neutral time-delay systems." Applied Mathematics and Computation 232 (April 2014): 1235–41. http://dx.doi.org/10.1016/j.amc.2014.01.009.

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41

İftar, Altuğ. "Inclusion Principle and Overlapping Decompositions of Neutral Time-Delay Systems." IFAC-PapersOnLine 52, no. 3 (2019): 102–7. http://dx.doi.org/10.1016/j.ifacol.2019.06.018.

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42

Kharitonov, Vladimir, Joaquín Collado, and Sabine Mondié. "Exponential estimates for neutral time delay systems with multiple delays." International Journal of Robust and Nonlinear Control 16, no. 2 (2005): 71–84. http://dx.doi.org/10.1002/rnc.1041.

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43

Yu, Shengchun, Yanzhen Pang, Guici Chen, and Xin Zhou. "Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay." Discrete Dynamics in Nature and Society 2021 (June 23, 2021): 1–17. http://dx.doi.org/10.1155/2021/9932134.

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This paper focuses on the problem of dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems (DTNSNSs) with time delay and parameter uncertainties. Different from the existing results on this topic of neutral system, a kind of discretizing the neutral system is considered. Firstly, a sufficient condition of the dissipativity, which is dependent on the solution of the Lyapunov–Krasovskii technique and linear matrix inequalities (LMIs), is established. Moreover, the state-feedback controller is designed to guarantee the dissipative performance of the closed-loop
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44

Zhang, Xipan, Changchun Shen, and Dingju Xu. "Reachable set estimation for neutral semi-Markovian jump systems with time-varying delay." AIMS Mathematics 9, no. 4 (2024): 8043–62. http://dx.doi.org/10.3934/math.2024391.

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&lt;abstract&gt;&lt;p&gt;This work addresses the issue of finding ellipsoidal bounds of reachable sets for neutral semi-Markovian jump systems with time-varying delay and bounded peak disturbances, for which the related result has been rarely proposed for neutral semi-Markovian jump systems. Based on the modified improved Lyapunov-Krasovskii functional, a boundary of the reachable set for neutral semi-Markovian jump systems was obtained with the aid of utilizing a novel integral inequality and combining with the time-delay segmentation technique. The numerical examples are supplied to verify t
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45

Xia, Hongwei, Pingping Zhao, Li Li, Aiguo Wu, and Guangcheng Ma. "A Novel Approach toH∞Control Design for Linear Neutral Time-Delay Systems." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/526017.

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This paper is concerned with the problem ofH∞control of linear neutral systems with time-varying delay. Firstly, by applying a novel Lyapunov-Krasovskii functional which is constructed with the idea of delay partitioning approach, appropriate free-weighting matrices, an improved delay-dependent bounded real lemma (BRL) for neutral systems is established. By using the obtained BRL, a delay-dependent sufficient condition for the existence of a state-feedback controller, which ensures asymptotic stability and a prescribedH∞performance level of the corresponding closed-loop system, is formulated i
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46

Ge, Chao, Chang-Chun Hua, and Xin-Ping Guan. "New Delay-dependent stability criteria for neutral systems with time-varying delay using delay-decomposition approach." International Journal of Control, Automation and Systems 12, no. 4 (2014): 786–93. http://dx.doi.org/10.1007/s12555-013-0118-5.

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47

Liu, Xinghua. "Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays." International Journal of Differential Equations 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/102653.

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This paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. Then the delay-dependent conditions for asymptotic stability are derived by applying some integral inequalities and Lyapunov theory. Finally, numerical examples are provided to show that the proposed
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48

Altun, Yener. "Stability of fractional neutral systems with time varying delay based on delay decomposition approach." New Trends in Mathematical Science 4, no. 8 (2020): 1–8. http://dx.doi.org/10.20852/ntmsci.2020.408.

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49

Fan, Kuo-Kuang, Jenq-Der Chen, Chang-Hua Lien, and Jer-Guang Hsieh. "Delay-dependent stability criterion for neutral time-delay systems via linear matrix inequality approach." Journal of Mathematical Analysis and Applications 273, no. 2 (2002): 580–89. http://dx.doi.org/10.1016/s0022-247x(02)00275-5.

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50

Tian, Junkang, Lianglin Xiong, Jianxing Liu, and Xiangjun Xie. "Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay." Chaos, Solitons & Fractals 40, no. 4 (2009): 1858–66. http://dx.doi.org/10.1016/j.chaos.2007.09.068.

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