Title :
Convex constrained control problem for 2-D systems
Author_Institution :
Inst. of Math., Acad. of Sci., Minsk
Abstract :
A problem of optimal control for a discrete 2-D system with convex mixed constraints and convex cost functional is investigated. The problem under consideration is reduced to a convex programming problem in Banach space. For the obtained problem the properties of Frechet differentiability are determinated. Necessary optimality conditions are established in terms of the solutions for the linearized dual problem
Keywords :
Banach spaces; control system analysis; convex programming; discrete systems; optimal control; Banach space; Frechet differentiability; control simulation; convex constrained control problem; convex cost functional; convex mixed constraints; convex programming problem; discrete 2-D system; linearized dual problem solutions; optimal control problem; optimality conditions; Control systems; Cost function; Digital filters; Filtering; Functional programming; Mathematics; Multidimensional systems; Nonlinear control systems; Optimal control; Stability;
Conference_Titel :
Industrial Electronics, 1996. ISIE '96., Proceedings of the IEEE International Symposium on
Conference_Location :
Warsaw
Print_ISBN :
0-7803-3334-9
DOI :
10.1109/ISIE.1996.548409
