Title :
A discrete optimal control problem for descriptor systems
Author :
Lin, Jing-Yue ; Yang, Zi-Hou
Author_Institution :
Dept. of Autom. Control, Northeast Univ. of Technol., Liaoning, China
fDate :
2/1/1989 12:00:00 AM
Abstract :
A class of discrete optimization problems described by nonlinear descriptor systems is considered on the basis of nonlinear programming. A discrete maximum principle is derived for a very general structural form of descriptor systems. The necessary and sufficient conditions for optimality are given for a subclass of optimization problems which is represented by linear descriptor dynamics with quasiconvex inequality constraints and pseudoconvex cost functional. For illustration, an example of a county macroeconomic system is presented
Keywords :
discrete systems; economic cybernetics; maximum principle; nonlinear control systems; nonlinear programming; optimal control; county macroeconomic system; descriptor systems; discrete maximum principle; discrete optimization; discrete systems; economic cybernetics; nonlinear control systems; nonlinear programming; optimal control; optimality; pseudoconvex cost functional; quasiconvex inequality constraints; Automatic control; Cost function; Gears; Optimal control; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on