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On a discrete optimal control problem with an explicit solution
Optimal control for resource allocation in discrete event systems
1.  College of International Business and Management, Shanghai University, Shanghai 201800, China 
2.  Department of Intelligence and Informatics, Konan University, 891 Okamoto, Kobe 6588501 
[1] 
Paula A. GonzálezParra, Sunmi Lee, Leticia Velázquez, Carlos CastilloChavez. A note on the use of optimal control on a discrete time model of influenza dynamics. Mathematical Biosciences & Engineering, 2011, 8 (1) : 183197. doi: 10.3934/mbe.2011.8.183 
[2] 
Diana Keller. Optimal control of a linear stochastic Schrödinger equation. Conference Publications, 2013, 2013 (special) : 437446. doi: 10.3934/proc.2013.2013.437 
[3] 
Alberto Bressan, Ke Han, Franco Rampazzo. On the control of non holonomic systems by active constraints. Discrete & Continuous Dynamical Systems  A, 2013, 33 (8) : 33293353. doi: 10.3934/dcds.2013.33.3329 
[4] 
Luke Finlay, Vladimir Gaitsgory, Ivan Lebedev. Linear programming solutions of periodic optimization problems: approximation of the optimal control. Journal of Industrial & Management Optimization, 2007, 3 (2) : 399413. doi: 10.3934/jimo.2007.3.399 
[5] 
Xiaohong Li, Mingxin Sun, Zhaohua Gong, Enmin Feng. Multistage optimal control for microbial fedbatch fermentation process. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021040 
[6] 
John T. Betts, Stephen Campbell, Claire Digirolamo. Examination of solving optimal control problems with delays using GPOPSⅡ. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 283305. doi: 10.3934/naco.2020026 
[7] 
Emma D'Aniello, Saber Elaydi. The structure of $ \omega $limit sets of asymptotically nonautonomous discrete dynamical systems. Discrete & Continuous Dynamical Systems  B, 2020, 25 (3) : 903915. doi: 10.3934/dcdsb.2019195 
[8] 
Shanjian Tang, Fu Zhang. Pathdependent optimal stochastic control and viscosity solution of associated Bellman equations. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 55215553. doi: 10.3934/dcds.2015.35.5521 
[9] 
Peter Benner, Jens Saak, M. Monir Uddin. Balancing based model reduction for structured index2 unstable descriptor systems with application to flow control. Numerical Algebra, Control & Optimization, 2016, 6 (1) : 120. doi: 10.3934/naco.2016.6.1 
[10] 
Yves Dumont, Frederic Chiroleu. Vector control for the Chikungunya disease. Mathematical Biosciences & Engineering, 2010, 7 (2) : 313345. doi: 10.3934/mbe.2010.7.313 
[11] 
ChinChin Wu. Existence of traveling wavefront for discrete bistable competition model. Discrete & Continuous Dynamical Systems  B, 2011, 16 (3) : 973984. doi: 10.3934/dcdsb.2011.16.973 
[12] 
Matthias Erbar, Jan Maas. Gradient flow structures for discrete porous medium equations. Discrete & Continuous Dynamical Systems  A, 2014, 34 (4) : 13551374. doi: 10.3934/dcds.2014.34.1355 
[13] 
M. R. S. Kulenović, J. Marcotte, O. Merino. Properties of basins of attraction for planar discrete cooperative maps. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 27212737. doi: 10.3934/dcdsb.2020202 
[14] 
Y. Latushkin, B. Layton. The optimal gap condition for invariant manifolds. Discrete & Continuous Dynamical Systems  A, 1999, 5 (2) : 233268. doi: 10.3934/dcds.1999.5.233 
[15] 
Wenmin Gong, Guangcun Lu. On coupled Dirac systems. Discrete & Continuous Dynamical Systems  A, 2017, 37 (8) : 43294346. doi: 10.3934/dcds.2017185 
[16] 
Ronald E. Mickens. Positivity preserving discrete model for the coupled ODE's modeling glycolysis. Conference Publications, 2003, 2003 (Special) : 623629. doi: 10.3934/proc.2003.2003.623 
[17] 
J. Frédéric Bonnans, Justina Gianatti, Francisco J. Silva. On the convergence of the SakawaShindo algorithm in stochastic control. Mathematical Control & Related Fields, 2016, 6 (3) : 391406. doi: 10.3934/mcrf.2016008 
[18] 
Martin Bohner, Sabrina Streipert. Optimal harvesting policy for the BevertonHolt model. Mathematical Biosciences & Engineering, 2016, 13 (4) : 673695. doi: 10.3934/mbe.2016014 
[19] 
Xingchun Wang, Yongjin Wang. Varianceoptimal hedging for target volatility options. Journal of Industrial & Management Optimization, 2014, 10 (1) : 207218. doi: 10.3934/jimo.2014.10.207 
[20] 
M. Grasselli, V. Pata. Asymptotic behavior of a parabolichyperbolic system. Communications on Pure & Applied Analysis, 2004, 3 (4) : 849881. doi: 10.3934/cpaa.2004.3.849 
2019 Impact Factor: 1.366
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