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Optimal control for discrete event systems with arbitrary control pattern
1.  College of International Business and Management, Shanghai University, Shanghai 201800 
2.  Department of Intelligence and Informatics, Konan University, 891 Okamoto, Kobe 6588501 
[1] 
Vincent Renault, Michèle Thieullen, Emmanuel Trélat. Optimal control of infinitedimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics. Networks & Heterogeneous Media, 2017, 12 (3) : 417459. doi: 10.3934/nhm.2017019 
[2] 
Thierry Horsin, Peter I. Kogut, Olivier Wilk. Optimal $L^2$control problem in coefficients for a linear elliptic equation. II. Approximation of solutions and optimality conditions. Mathematical Control & Related Fields, 2016, 6 (4) : 595628. doi: 10.3934/mcrf.2016017 
[3] 
Alexander Arguchintsev, Vasilisa Poplevko. An optimal control problem by parabolic equation with boundary smooth control and an integral constraint. Numerical Algebra, Control & Optimization, 2018, 8 (2) : 193202. doi: 10.3934/naco.2018011 
[4] 
HangChin Lai, JinChirng Lee, ShuhJye Chern. A variational problem and optimal control. Journal of Industrial & Management Optimization, 2011, 7 (4) : 967975. doi: 10.3934/jimo.2011.7.967 
[5] 
Roberto C. Cabrales, Gema Camacho, Enrique FernándezCara. Analysis and optimal control of some solidification processes. Discrete & Continuous Dynamical Systems  A, 2014, 34 (10) : 39854017. doi: 10.3934/dcds.2014.34.3985 
[6] 
Kai Liu. Quadratic control problem of neutral OrnsteinUhlenbeck processes with control delays. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 16511661. doi: 10.3934/dcdsb.2013.18.1651 
[7] 
Yuri B. Gaididei, Carlos Gorria, Rainer Berkemer, Peter L. Christiansen, Atsushi Kawamoto, Mads P. Sørensen, Jens Starke. Stochastic control of traffic patterns. Networks & Heterogeneous Media, 2013, 8 (1) : 261273. doi: 10.3934/nhm.2013.8.261 
[8] 
Ciro D'Apice, Olha P. Kupenko, Rosanna Manzo. On boundary optimal control problem for an arterial system: Firstorder optimality conditions. Networks & Heterogeneous Media, 2018, 13 (4) : 585607. doi: 10.3934/nhm.2018027 
[9] 
Vladimir Gaitsgory, Alex Parkinson, Ilya Shvartsman. Linear programming based optimality conditions and approximate solution of a deterministic infinite horizon discounted optimal control problem in discrete time. Discrete & Continuous Dynamical Systems  B, 2019, 24 (4) : 17431767. doi: 10.3934/dcdsb.2018235 
[10] 
Ellina Grigorieva, Evgenii Khailov, Andrei Korobeinikov. An optimal control problem in HIV treatment. Conference Publications, 2013, 2013 (special) : 311322. doi: 10.3934/proc.2013.2013.311 
[11] 
Peter I. Kogut. On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 21052133. doi: 10.3934/dcds.2014.34.2105 
[12] 
Max Gunzburger, SungDae Yang, Wenxiang Zhu. Analysis and discretization of an optimal control problem for the forced Fisher equation. Discrete & Continuous Dynamical Systems  B, 2007, 8 (3) : 569587. doi: 10.3934/dcdsb.2007.8.569 
[13] 
Gökçe Dİlek Küçük, Gabil Yagub, Ercan Çelİk. On the existence and uniqueness of the solution of an optimal control problem for Schrödinger equation. Discrete & Continuous Dynamical Systems  S, 2019, 12 (3) : 503512. doi: 10.3934/dcdss.2019033 
[14] 
Jianxiong Ye, An Li. Necessary optimality conditions for nonautonomous optimal control problems and its applications to bilevel optimal control. Journal of Industrial & Management Optimization, 2019, 15 (3) : 13991419. doi: 10.3934/jimo.2018101 
[15] 
Lucas Bonifacius, Ira Neitzel. Second order optimality conditions for optimal control of quasilinear parabolic equations. Mathematical Control & Related Fields, 2018, 8 (1) : 134. doi: 10.3934/mcrf.2018001 
[16] 
Sofia O. Lopes, Fernando A. C. C. Fontes, Maria do Rosário de Pinho. On constraint qualifications for nondegenerate necessary conditions of optimality applied to optimal control problems. Discrete & Continuous Dynamical Systems  A, 2011, 29 (2) : 559575. doi: 10.3934/dcds.2011.29.559 
[17] 
Ana P. LemosPaião, Cristiana J. Silva, Delfim F. M. Torres. A sufficient optimality condition for delayed statelinear optimal control problems. Discrete & Continuous Dynamical Systems  B, 2019, 24 (5) : 22932313. doi: 10.3934/dcdsb.2019096 
[18] 
Heinz Schättler, Urszula Ledzewicz, Helmut Maurer. Sufficient conditions for strong local optimality in optimal control problems with $L_{2}$type objectives and control constraints. Discrete & Continuous Dynamical Systems  B, 2014, 19 (8) : 26572679. doi: 10.3934/dcdsb.2014.19.2657 
[19] 
Naïla Hayek. Infinitehorizon multiobjective optimal control problems for bounded processes. Discrete & Continuous Dynamical Systems  S, 2018, 11 (6) : 11211141. doi: 10.3934/dcdss.2018064 
[20] 
Mathias Staudigl. A limit theorem for Markov decision processes. Journal of Dynamics & Games, 2014, 1 (4) : 639659. doi: 10.3934/jdg.2014.1.639 
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