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

Volume

34

Issue

2

fYear

1989

fDate

2/1/1989 12:00:00 AM

Firstpage

177

Lastpage

181

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;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.21092

Filename

21092