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
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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.
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页码:85 / +
页数:2
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