Stability analysis for linear time-varying systems based on generalized orthogonal polynomials

Author

Jianping, Zeng ; Peng, Cheng ; Hong, Lei

Author_Institution

Dept. of Autom. Control, Beijing Univ. of Aeronaut. & Astronaut., China

Volume

4

fYear

2000

fDate

2000

Firstpage

2806

Abstract

In this paper, generalized orthogonal polynomials are directly used to investigate state transition matrix for linear time-varying systems. The approximated series of state transition matrix for such systems is constructed via generalized orthogonal polynomial expansion, and it is shown that the approximated series can retain many properties of state transition matrix under some conditions. Moreover, new criteria of stability for linear time-varying systems are given in terms of the approximated series, the criteria are easier to be tested than the known ones due to the computation advantages via generalized orthogonal polynomials expansion

Keywords

linear systems; matrix algebra; polynomials; stability; time-varying systems; approximated series; linear system; orthogonal polynomials; stability; state transition matrix; time-varying systems; Automatic control; Hilbert space; Integral equations; Optimal control; Partial response channels; Polynomials; Stability analysis; Stability criteria; Terminology; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on

Conference_Location

Hefei

Print_ISBN

0-7803-5995-X

Type

conf

DOI

10.1109/WCICA.2000.862573

Filename

862573