A Lyapunov-based approach to stability of descriptor systems with delay

Author

Fridman, E.

Author_Institution

Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel

Volume

3

fYear

2001

fDate

2001

Firstpage

2850

Abstract

The Lyapunov second method is developed for linear coupled systems of delay differential and functional equations. By means of conventional approaches, such equations may be reduced to neutral systems, and the known results for the latter may be exploited. In this paper, we introduce a new approach by constructing a Lyapunov-Krasovskii functional that corresponds directly to the descriptor form of the system. Moreover, by representing a neutral system in the descriptor form, we obtain new stability criteria for neutral systems which lead to results that are less conservative than the existing results. Sufficient conditions for delay-dependent stability are given in terms of linear matrix inequalities. Illustrative examples show the effectiveness of the method

Keywords

Lyapunov matrix equations; delay-differential systems; functional equations; stability; stability criteria; Lyapunov second method; Lyapunov-Krasovskii functional; delay differential equations; delay-dependent stability; delay-independent criteria; descriptor system stability; functional equations; linear coupled equation systems; linear matrix inequalities; neutral systems; stability criteria; sufficient conditions; time-delay systems; Aircraft propulsion; Chemical engineering; Delay lines; Delay systems; Differential algebraic equations; Feedback; Linear matrix inequalities; Propagation losses; Stability; Writing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980706

Filename

980706