Stability criteria for systems with interval time-varying delay

Author

Li Boren

Author_Institution

Coll. of Comput., Dongguan Univ. of Technol., Dongguan, China

fYear

2011

fDate

22-24 July 2011

Firstpage

1071

Lastpage

1075

Abstract

The cross-product terms in the derivative of Lyapunov-Krasovskii functional are disposed by using two integral-inequalities, and the state derivative term is reserved by employing Newton-Leibnitz formula and free-weighting matrix. First, stability criterion for nominal system is obtained, then applying S-procedure, stability criterion for linear fractional norm-bounded uncertainty system obtained. For system matrices and Lyapunov matrices in the stability condition of nominal system are separated, parameter-dependent Lyapunov-Krasovskii functional is used to deal with polytopic-type uncertainty system. Finally, numerical examples are given to demonstrate the effectiveness and are improvement of the proposed criteria.

Keywords

Lyapunov matrix equations; Newton method; delays; integral equations; linear systems; stability criteria; time-varying systems; uncertain systems; Lyapunov matrices; Newton-Leibnitz formula; S-procedure; free-weighting matrix; integral inequalities; interval time varying delay; linear fractional norm bounded uncertainty system; nominal system; parameter-dependent Lyapunov-Krasovskii functional; polytopic type uncertainty system; stability criterion; state derivative term; Delay; Numerical stability; Stability criteria; Symmetric matrices; Time varying systems; Uncertainty; Integral-equality; Linear matrix inequality(LMI); Lyapunov-Krasovskii functional; Robust Stability; Time-varying Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6000452