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Journal articles on the topic 'Quadratic cost'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Ben-Arieh, D., T. Easton, and B. Evans. "Minimum Cost Consensus With Quadratic Cost Functions." IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 39, no. 1 (January 2009): 210–17. http://dx.doi.org/10.1109/tsmca.2008.2006373.

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2

Cattiaux, Patrick, and Arnaud Guillin. "On quadratic transportation cost inequalities." Journal de Mathématiques Pures et Appliquées 86, no. 4 (October 2006): 342–61. http://dx.doi.org/10.1016/j.matpur.2006.06.003.

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3

Schäl, Manfred. "On Quadratic Cost Criteria for Option Hedging." Mathematics of Operations Research 19, no. 1 (February 1994): 121–31. http://dx.doi.org/10.1287/moor.19.1.121.

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4

Boscain, Ugo, and Francesco Rossi. "Projective Reeds-Shepp car onS2with quadratic cost." ESAIM: Control, Optimisation and Calculus of Variations 16, no. 2 (December 19, 2008): 275–97. http://dx.doi.org/10.1051/cocv:2008075.

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5

Legarda-Sáenz, Ricardo, Mariano Rivera, and Ramón Rodríguez-Vera. "Quadratic cost functional for wave-front reconstruction." Applied Optics 41, no. 8 (March 10, 2002): 1515. http://dx.doi.org/10.1364/ao.41.001515.

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6

Rivera, Mariano, and Jose L. Marroquin. "Half-quadratic cost functions for phase unwrapping." Optics Letters 29, no. 5 (March 1, 2004): 504. http://dx.doi.org/10.1364/ol.29.000504.

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7

Gao, Jianjun, and Duan Li. "Linear–quadratic switching control with switching cost." Automatica 48, no. 6 (June 2012): 1138–43. http://dx.doi.org/10.1016/j.automatica.2012.03.006.

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8

Alt, Walter, and Christopher Schneider. "Linear-quadratic control problems withL1-control cost." Optimal Control Applications and Methods 36, no. 4 (June 27, 2014): 512–34. http://dx.doi.org/10.1002/oca.2126.

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9

Kim, Jae-Wook, Sung-Hun Jung, Kyung-Il Min, and Young-Hyun Moon. "LMP Calculation with Consideration of Transaction Strategy and Quadratic Congestion Cost Function." Transactions of The Korean Institute of Electrical Engineers 60, no. 2 (February 1, 2011): 257–65. http://dx.doi.org/10.5370/kiee.2011.60.2.257.

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10

Hackl, Lucas, and Robert H. Jonsson. "Minimal energy cost of entanglement extraction." Quantum 3 (July 15, 2019): 165. http://dx.doi.org/10.22331/q-2019-07-15-165.

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We compute the minimal energy cost for extracting entanglement from the ground state of a bosonic or fermionic quadratic system. Specifically, we find the minimal energy increase in the system resulting from replacing an entangled pair of modes, sharing entanglement entropy ΔS, by a product state, and we show how to construct modes achieving this minimal energy cost. Thus, we obtain a protocol independent lower bound on the extraction of pure state entanglement from quadratic systems. Due to their generality, our results apply to a large range of physical systems, as we discuss with examples.

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11

Chao, Xiangrui, and Yi Peng. "A Cost-sensitive Multi-criteria Quadratic Programming Model." Procedia Computer Science 55 (2015): 1302–7. http://dx.doi.org/10.1016/j.procs.2015.07.141.

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12

Li, Duan, and Christopher Wayne Schmidt. "Cost smoothing in discrete-time linear-quadratic control." Automatica 33, no. 3 (March 1997): 447–52. http://dx.doi.org/10.1016/s0005-1098(96)00171-9.

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13

Sasaki, S., and K. Uchida. "Quadratic cost output feedback control for bilinear systems." International Journal of Systems Science 34, no. 5 (April 2003): 345–55. http://dx.doi.org/10.1080/00207720310001600984.

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14

Ruth, Eivind, Asgeir J. Sørensen, and Tristan Perez. "THRUST ALLOCATION WITH LINEAR CONSTRAINED QUADRATIC COST FUNCTION." IFAC Proceedings Volumes 40, no. 17 (2007): 337–42. http://dx.doi.org/10.3182/20070919-3-hr-3904.00059.

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15

Milman, Mark, and Alan Schumitzky. "Factorization and quadratic cost problems in Hilbert spaces." Journal of Mathematical Analysis and Applications 155, no. 1 (February 1991): 111–30. http://dx.doi.org/10.1016/0022-247x(91)90030-4.

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16

Sun, Jie, Xiaoqi Yang, and Xiongda Chen. "Quadratic cost flow and the conjugate gradient method." European Journal of Operational Research 164, no. 1 (July 2005): 104–14. http://dx.doi.org/10.1016/j.ejor.2003.04.003.

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17

Nikitin, Sergey. "Stabilization of Nonlinear Systems with Semi-Quadratic Cost." Acta Applicandae Mathematicae 105, no. 3 (August 19, 2008): 373–83. http://dx.doi.org/10.1007/s10440-008-9279-2.

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18

Sahin, Ismet. "Minimization over randomly selected lines." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 3, no. 2 (June 17, 2013): 111–19. http://dx.doi.org/10.11121/ijocta.01.2013.00167.

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This paper presents a population-based evolutionary optimization method for minimizing a given cost function. The mutation operator of this method selects randomly oriented lines in the cost function domain, constructs quadratic functions interpolating the cost function at three different points over each line, and uses extrema of the quadratics as mutated points. The crossover operator modifies each mutated point based on components of two points in population, instead of one point as is usually performed in other evolutionary algorithms. The stopping criterion of this method depends on the number of almost degenerate quadratics. We demonstrate that the proposed method with these mutation and crossover operations achieves faster and more robust convergence than the well-known Differential Evolution and Particle Swarm algorithms.

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19

Dash, Saroj Kumar, Ray Priyambada, and Chinmaya Kumar Panda. "Optimum Dispatch of Hybrid Solar Thermal (HSTP) Electric Power Plant Using Non-Smooth Cost Function and Emission Function for IEEE-30 Bus System." International Journal of Recent Contributions from Engineering, Science & IT (iJES) 4, no. 2 (July 5, 2016): 46. http://dx.doi.org/10.3991/ijes.v4i2.5699.

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The basic objective of economic load dispatch (ELD) is to optimize the total fuel cost of hybrid solar thermal electric power plant (HSTP). In ELD problems the cost function for each generator has been approximated by a single quadratic cost equation. As cost of coal increases, it becomes even more important have a good model for the production cost of each generator for the solar thermal hybrid system. A more accurate formulation is obtained for the ELD problem by expressing the generation cost function as a piece wise quadratic cost function. However, the solution methods for ELD problem with piece wise quadratic cost function requires much complicated algorithms such as the hierarchical structure approach along with evolutionary computations (ECs). A test system comprising of 10 units with 29 different fuel [7] cost equations is considered in this paper. The applied genetic algorithm method will provide optimal solution for the given load demand.

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20

Yao, Feng, Chao Yang, Mingjun Zhang, and Yujia Wang. "Optimization of the Energy Consumption of Depth Tracking Control Based on Model Predictive Control for Autonomous Underwater Vehicles." Sensors 19, no. 1 (January 4, 2019): 162. http://dx.doi.org/10.3390/s19010162.

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For long-term missions in complex seas, the onboard energy resources of autonomous underwater vehicles (AUVs) are limited. Thus, energy consumption reduction is an important aspect of the study of AUVs. This paper addresses energy consumption reduction using model predictive control (MPC) based on the state space model of AUVs for trajectory tracking control. Unlike the previous approaches, which use a cost function that consists of quadratic deviations of the predicted controlled output from the reference trajectory and quadratic input changes, a term of quadratic energy (i.e., quadratic input) is introduced into the cost function in this paper. Then, the MPC control law with the new cost function is constructed, and an analysis on the effect of the quadratic energy term on the stability is given. Finally, simulation results for depth tracking control are given to demonstrate the feasibility and effectiveness of the improved MPC on energy consumption optimization for AUVs.

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21

Yoshida, Kyohei, Takayuki Wada, and Yasumasa Fujisaki. "Differentially Private Mechanism for the Equiribrium Price under Quadratic Cost Functions and Quadratic Utility Functions." Transactions of the Institute of Systems, Control and Information Engineers 32, no. 11 (November 15, 2019): 389–95. http://dx.doi.org/10.5687/iscie.32.389.

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22

Dolado, Juan, John W. Galbraith, and Anindya Banerjee. "Estimating Intertemporal Quadratic Adjustment Cost Models with Integrated Series." International Economic Review 32, no. 4 (November 1991): 919. http://dx.doi.org/10.2307/2527043.

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23

Tyan, Feng, and Dennis S. Bernstein. "Shifted Quadratic Guaranteed Cost Bounds for Robust Controller Synthesis." IFAC Proceedings Volumes 29, no. 1 (June 1996): 3156–61. http://dx.doi.org/10.1016/s1474-6670(17)58161-6.

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24

Prokop, Jacek, Michał Ramsza, and Bartłomiej Wiśnicki. "A Note on Bertrand Competition under Quadratic Cost Functions." Gospodarka Narodowa 276, no. 2 (April 30, 2015): 5–14. http://dx.doi.org/10.33119/gn/100809.

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25

Villa, Jesús, Juan Antonio Quiroga, and Ismael De la Rosa. "Regularized quadratic cost function for oriented fringe-pattern filtering." Optics Letters 34, no. 11 (May 29, 2009): 1741. http://dx.doi.org/10.1364/ol.34.001741.

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26

Soroush, H. M. "Stochastic bicriteria single machine scheduling with quadratic cost functions." International Journal of Operational Research 17, no. 1 (2013): 59. http://dx.doi.org/10.1504/ijor.2013.053188.

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27

Moreb, Ahmad A., and Mohammad S. Aljohani. "Quadratic representation for roadway profile that minimizes earthwork cost." Journal of Systems Science and Systems Engineering 13, no. 2 (April 2004): 245–52. http://dx.doi.org/10.1007/s11518-006-0163-1.

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28

Masur, Jonathan S. "Quadratic voting as an input to cost-benefit analysis." Public Choice 172, no. 1-2 (February 14, 2017): 177–93. http://dx.doi.org/10.1007/s11127-017-0408-1.

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29

Zhang, Rangrang, and Tusheng Zhang. "Quadratic transportation cost inequality for scalar stochastic conservation laws." Journal of Mathematical Analysis and Applications 502, no. 1 (October 2021): 125230. http://dx.doi.org/10.1016/j.jmaa.2021.125230.

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30

Parlar, M., and R. Rempala. "Stochastic inventory problem with piecewise quadratic holding cost function containing a cost-free interval." Journal of Optimization Theory and Applications 75, no. 1 (October 1992): 133–53. http://dx.doi.org/10.1007/bf00939909.

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31

Veselý, Vojtech, and Ladislav Körösi. "Robust PID controller design with H2 performance: Descriptor systems approach." Journal of Electrical Engineering 70, no. 6 (December 1, 2019): 499–501. http://dx.doi.org/10.2478/jee-2019-0085.

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Abstract The paper deals with the problem to obtain robust PID controller design procedure to linear time invariant descriptor uncertain polytopic systems using descriptor system stability theory and H2 criterion approach in the form of quadratic cost function. In the frame of Lyapunov function, H2 quadratic cost function and Bellman-Lyapunov equation the obtained designed novel procedure guarantees the robust properties of closed-loop system with parameter dependent quadratic stability/quadratic stability. In the obtained design procedure, the designer could use controller with different structure like as P, PI, PID, PI-D. For PI-D controllers D-part feedback the designer could choose any available output/state derivative variables of real systems. The effectiveness of the obtained results is demonstrated on the randomly generated examples.

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32

Wu, Sheng, Pingzhi Hou, and Hongbo Zou. "An improved constrained predictive functional control for industrial processes: A chamber pressure process study." Measurement and Control 53, no. 5-6 (February 17, 2020): 833–40. http://dx.doi.org/10.1177/0020294019881739.

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An improved constrained predictive functional control for the pressure of a coke furnace is proposed in this article. In conventional constrained model predictive control, a quadratic programming problem is usually constructed to replace the original cost function and constraints to obtain the optimal control law. Under strict constraints, however, the relevant quadratic programming problem may have no feasible solutions. Unlike conventional approaches, there are several effective relaxations introduced for the constraints in the proposed scheme; then, a new cost function and the new transformed constraints are generated. With the improved constraints and cost function, there are always acceptable solutions for the quadratic programming problem under various conditions. The validity of the presented constrained model predictive control algorithm is evaluated through the regulation of the pressure of the coke furnace.

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33

Arora, S. R., and Archana Khurana. "Three dimensional fixed charge bi-criterion indefinite quadratic transportation problem." Yugoslav Journal of Operations Research 14, no. 1 (2004): 83–97. http://dx.doi.org/10.2298/yjor0401083a.

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The three-dimensional fixed charge transportation problem is an extension of the classical three-dimensional transportation problem in which a fixed cost is incurred for every origin. In the present paper three-dimensional fixed charge bi-criterion indefinite quadratic transportation problem, giving the same priority to cost as well as time, is studied. An algorithm to find the efficient cost-time trade off pairs in a three dimensional fixed charge bi-criterion indefinite quadratic transportation problem is developed. The algorithm is illustrated with the help of a numerical example.

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34

Yu, Zhiyong. "Equivalent cost functionals and stochastic linear quadratic optimal control problems." ESAIM: Control, Optimisation and Calculus of Variations 19, no. 1 (February 23, 2012): 78–90. http://dx.doi.org/10.1051/cocv/2011206.

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35

Satoh, Atsuhiro, and Yasuhito Tanaka. "Relative profit maximization and Bertrand equilibrium with quadratic cost functions." Economics and Business Letters 2, no. 3 (September 23, 2013): 134. http://dx.doi.org/10.17811/ebl.2.3.2013.134-139.

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36

Martinez-Budria, Eduardo, Juan Jose Diaz-Hernandez, and Sergio Jara-Díaz. "Productivity and efficiency with discrete variables and quadratic cost function." International Journal of Production Economics 132, no. 2 (August 2011): 251–57. http://dx.doi.org/10.1016/j.ijpe.2011.04.015.

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37

Rotea, Mario A., Panagiotis Tsiotras, and Martin Corless. "Suboptimal Control of Rigid Body Motion with a Quadratic Cost." IFAC Proceedings Volumes 28, no. 14 (June 1995): 503–8. http://dx.doi.org/10.1016/s1474-6670(17)46879-0.

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38

Kapila, V., W. M. Haddad, R. S. Erwin, and D. S. Bernstein. "Robust controller synthesis via shifted parameter-dependent quadratic cost bounds." IEEE Transactions on Automatic Control 43, no. 7 (July 1998): 1003–7. http://dx.doi.org/10.1109/9.701111.

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39

Tsiotras, P., M. Corless, and M. Rotea. "Optimal Control of Rigid Body Angular Velocity with Quadratic Cost." Journal of Optimization Theory and Applications 96, no. 3 (March 1998): 507–32. http://dx.doi.org/10.1023/a:1022656326640.

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40

Campi, M. C., and P. R. Kumar. "Adaptive Linear Quadratic Gaussian Control: The Cost-Biased Approach Revisited." SIAM Journal on Control and Optimization 36, no. 6 (November 1998): 1890–907. http://dx.doi.org/10.1137/s0363012997317499.

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41

Ran, A. C. M., and H. L. Trentelman. "Linear Quadratic Problems with Indefinite Cost for Discrete Time Systems." SIAM Journal on Matrix Analysis and Applications 14, no. 3 (July 1993): 776–97. http://dx.doi.org/10.1137/0614055.

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42

Trentelman, Harry L. "The Regular Free-Endpoint Linear Quadratic Problem with Indefinite Cost." SIAM Journal on Control and Optimization 27, no. 1 (January 1989): 27–42. http://dx.doi.org/10.1137/0327003.

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43

Yan, Jun‐Juh. "Quadratic guaranteed cost control of uncertain neutral delay‐differential systems." Journal of the Chinese Institute of Engineers 26, no. 4 (June 2003): 543–48. http://dx.doi.org/10.1080/02533839.2003.9670808.

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44

Villa, Jesús, Gustavo Rodríguez, Rumen Ivanov, and Efrén González. "Regularized quadratic cost-function for integrating wave-front gradient fields." Optics Letters 41, no. 10 (May 11, 2016): 2314. http://dx.doi.org/10.1364/ol.41.002314.

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45

Tideman, Nicolaus, and Florenz Plassmann. "Efficient collective decision-making, marginal cost pricing, and quadratic voting." Public Choice 172, no. 1-2 (February 15, 2017): 45–73. http://dx.doi.org/10.1007/s11127-017-0411-6.

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46

Blackwood, Julie, Alan Hastings, and Christopher Costello. "Cost-effective management of invasive species using linear-quadratic control." Ecological Economics 69, no. 3 (January 2010): 519–27. http://dx.doi.org/10.1016/j.ecolecon.2009.08.029.

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47

Bejaoui, Amine, Abla Kammoun, Mohamed-Slim Alouini, and Tareq Al-Naffouri. "Cost-sensitive design of quadratic discriminant analysis for imbalanced data." Pattern Recognition Letters 149 (September 2021): 24–29. http://dx.doi.org/10.1016/j.patrec.2021.06.002.

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48

Thng, I., A. Cantoni, and Y. H. Leung. "Analytical solutions to the optimization of a quadratic cost function subject to linear and quadratic equality constraints." Applied Mathematics & Optimization 34, no. 2 (September 1996): 161–82. http://dx.doi.org/10.1007/bf01182622.

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49

Ma, Shuping, and El-Kébir Boukas. "Guaranteed cost control of uncertain discrete-time singular Markov jump systems with indefinite quadratic cost." International Journal of Robust and Nonlinear Control 21, no. 9 (August 26, 2010): 1031–45. http://dx.doi.org/10.1002/rnc.1640.

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50

Yang, Yunan, Björn Engquist, Junzhe Sun, and Brittany F. Hamfeldt. "Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion." GEOPHYSICS 83, no. 1 (January 1, 2018): R43—R62. http://dx.doi.org/10.1190/geo2016-0663.1.

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Conventional full-waveform inversion (FWI) using the least-squares norm as a misfit function is known to suffer from cycle-skipping issues that increase the risk of computing a local rather than the global minimum of the misfit. The quadratic Wasserstein metric has proven to have many ideal properties with regard to convexity and insensitivity to noise. When the observed and predicted seismic data are considered to be two density functions, the quadratic Wasserstein metric corresponds to the optimal cost of rearranging one density into the other, in which the transportation cost is quadratic in distance. Unlike the least-squares norm, the quadratic Wasserstein metric measures not only amplitude differences but also global phase shifts, which helps to avoid cycle-skipping issues. We have developed a new way of using the quadratic Wasserstein metric trace by trace in FWI and compare it with the global quadratic Wasserstein metric via the solution of the Monge-Ampère equation. We incorporate the quadratic Wasserstein metric technique into the framework of the adjoint-state method and apply it to several 2D examples. With the corresponding adjoint source, the velocity model can be updated using a quasi-Newton method. Numerical results indicate the effectiveness of the quadratic Wasserstein metric in alleviating cycle-skipping issues and sensitivity to noise. The mathematical theory and numerical examples demonstrate that the quadratic Wasserstein metric is a good candidate for a misfit function in seismic inversion.

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