Passive control for discrete singular bilinear system with time-delay

Author

Xiu-hua, Zhang ; Qing-ling, Zhang

Author_Institution

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

fYear

2012

fDate

25-27 July 2012

Firstpage

2077

Lastpage

2081

Abstract

The passive control problem for a class of singular bilinear systems with time-delay is investigated. By means of generalized Lyapunov function and generalized Riccati inequality and linear matrix inequality, a sufficient condition is derived such that a prescribed discrete singular bilinear systems with time-delay is passive and its zero solution is asymptotically stable. By making use of the method of Norm-bounded, the bilinear items was manipulated ingeniously. Finally, an example is given to illustrate the validity of the obtained results. Key Words: time-delay; bilinear; singular; passive; state feedback.

Keywords

Lyapunov methods; Riccati equations; asymptotic stability; bilinear systems; delays; discrete systems; linear matrix inequalities; asymptotic stability; bilinear item manipulation; discrete singular bilinear system; generalized Lyapunov function; generalized Riccati inequality; linear matrix inequality; norm-bounded method; passive control; sufficient condition; time delays; zero solution; Control systems; Delay; Linear matrix inequalities; Linear systems; Lyapunov methods; Nonlinear systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390267