Title :
Dynamic programming for 2D discrete nonlinear systems
Author :
Dymkov, Michael ; Galkowski, Krzysztof ; Rogers, Eric
Author_Institution :
Dept. of Math., Belarus State Economic Univ., Minsk, Belarus
fDate :
June 29 2009-July 1 2009
Abstract :
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.
Keywords :
discrete systems; dynamic programming; multidimensional systems; nonlinear control systems; nonlinear programming; optimal control; 2D discrete nonlinear system; admissible control; dynamic programming; generalized Bellman function; nonlinear optimization problem; optimality condition; Cost function; Dynamic programming; Mathematics; Nonlinear equations; Nonlinear systems; Optimal control; Standards development;
Conference_Titel :
Multidimensional (nD) Systems, 2009. nDS 2009. International Workshop on
Conference_Location :
Thessaloniki
Print_ISBN :
978-1-4244-2797-0
Electronic_ISBN :
978-1-4244-2798-7
DOI :
10.1109/NDS.2009.5192003
