Control system analysis and design upon the Lyapunov method

Author

Lyashevskiy, Sergey ; Meyer, Andrew U.

Author_Institution

Dept. of Electr. Eng., Purdue Univ., Indianapolis, IN, USA

Volume

5

fYear

1995

fDate

21-23 Jun 1995

Firstpage

3219

Abstract

The objectives of the present paper are analysis of stability of the nonlinear continuous-time systems and application of the second method to the optimization problem. Based on Lyapunov´s method and the Hamilton-Jacobi-Bellman theory we outline procedures which can be used to unify results in stability analysis and system design. For nonlinear time-varying dynamical systems we show how the nonlinear optimization problem can be solved. Four illustrative examples are considered in details to demonstrate the advantages of the given analysis and control methodologies

Keywords

Lyapunov methods; continuous time systems; control system analysis; control system synthesis; nonlinear control systems; optimisation; stability; time-varying systems; Hamilton-Jacobi-Bellman theory; Lyapunov method; control system analysis; nonlinear continuous-time systems; optimization; stability; time-varying dynamical systems; Control system analysis; Control system synthesis; Control systems; Lyapunov method; Nonlinear equations; Optimal control; Performance analysis; Stability analysis; Sufficient conditions; System analysis and design;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532197

Filename

532197