Dynamic programming for 2D discrete nonlinear systems

被引：0
|
作者：
Dymkov, Michael [1 ]
Galkowski, Krzysztof [2 ]
Rogers, Eric [3 ]
机构：
[1] Belarus State Econ Univ, Dept Math, Partizanskiy Ave 26, Minsk 220070, BELARUS
[2] Univ Zielona Gora, Inst Control & Computat Engn, Zielona Gora, Poland
[3] Univ Southampton, Sch Elect & Comp Sci, Southampton SO17 1BJ, Hants, England
来源：
NDS: 2009 INTERNATIONAL WORKSHOP ON MULTIDIMENSIONAL (ND) SYSTEMS | 2009年
关键词：
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper the dynamic programming approach is generalized to 2D discrete nonlinear systems. In particular, a generalized Bellman function is introduced and then to develop necessary and sufficient optimality conditions for a nonlinear optimization problem associated with the systems considered. Finally, with a view to application to examples, an alternative to this function is developed which gives more computationally tractable necessary conditions for optimality.
引用
收藏
页码：85 / +
页数：2
相关论文
共 50 条
  • [1] DYNAMIC-PROGRAMMING FOR 2-D DISCRETE LINEAR-SYSTEMS
    MARSZALEK, W
    SADECKI, J
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (02) : 181 - 184
  • [2] Discrete-continuum-discrete approach for the modeling of the dynamic behavior of 2D lattice systems
    Gomez-Silva, F.
    Zaera, R.
    Askes, H.
    THIN-WALLED STRUCTURES, 2024, 203
  • [3] Dynamic Programming based Control for Perturbed Discrete Time Nonlinear Systems
    Pham, Hung V.
    Nguyen, Nam H.
    Nguyen, Phuoc D.
    2017 INTERNATIONAL CONFERENCE ON SYSTEM SCIENCE AND ENGINEERING (ICSSE), 2017, : 319 - 324
  • [4] Identification of Nonlinear Discrete Dynamic Systems Using Enhanced Genetic Programming
    Maher, Rami A.
    Mohammad, Mohammad J.
    2017 EUROPEAN CONFERENCE ON ELECTRICAL ENGINEERING AND COMPUTER SCIENCE (EECS), 2017, : 225 - 229
  • [5] A Novel Iterative θ-Adaptive Dynamic Programming for Discrete-Time Nonlinear Systems
    Wei, Qinglai
    Liu, Derong
    IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2014, 11 (04) : 1176 - 1190
  • [6] Hamiltonian-driven Adaptive Dynamic Programming for Nonlinear Discrete-Time Dynamic Systems
    Yang, Yongliang
    Wunsch, Donald
    Yin, Yixin
    2017 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2017, : 1339 - 1346
  • [7] Linearized comparison theorems for a nonlinear delay 2-D discrete dynamic systems
    Liu, YQ
    Liu, ST
    Zhang, YD
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 660 - 661
  • [8] 2D solutions of the hyperbolic discrete nonlinear Schrodinger equation
    D'Ambroise, J.
    Kevrekidis, P. G.
    PHYSICA SCRIPTA, 2019, 94 (11)
  • [9] Stability of 2D Discrete Takagi–Sugeno Systems
    Mariem Ghamgui
    Driss Mehdi
    Olivier Bachelier
    Mohamed Chaabane
    Circuits, Systems, and Signal Processing, 2017, 36 : 2256 - 2274
  • [10] Stability and Bifurcations in 2D Spatiotemporal Discrete Systems
    Sahari, Mohamed Lamine
    Taha, Abdel-Kaddous
    Randriamihamison, Louis
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (08):
12345