Two kinds of control problems of finite-time stable for time-varying descriptor systems

Author

Yali Zhi ; Xiaoming Su

Author_Institution

Sch. of Sci., Shenyang Univ. of Technol., Shenyang, China

fYear

2014

fDate

28-30 July 2014

Firstpage

3730

Lastpage

3735

Abstract

This paper mainly studies two kinds of control problem of finite-time stable for time-varying descriptor systems, finite-time boundedness and input-output finite-time stability. Firstly, the mentioned matrix function E(t) for the time-varying descriptor systems is time-variant, which is a improvement from the previous articles. Secondly, many sufficient and necessary conditions of finite-time stability are given, and the finite-time state feedback controllers are designed too. Finally, two numerical examples are given to prove the effectiveness of the method.

Keywords

matrix algebra; stability; state feedback; time-varying systems; control problems; finite-time boundedness; finite-time stability; finite-time state feedback controllers; input-output finite-time stability; matrix function; necessary conditions; sufficient conditions; time-varying descriptor systems; Circuit stability; Numerical stability; Robustness; Stability analysis; State feedback; Symmetric matrices; Time-varying systems; finite-time boundedness; finite-time stability; function matrix E(t); input-output finite-time stability; time-varying descriptor systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895560

Filename

6895560