L1-induced performance analysis for continuous positive time-delay systems

Author

Cuihong Wang ; Zhuanxia Yang ; Huili Yang

Author_Institution

Dept. of Math. & Comput. Sci., Shanxi Normal Univ., Linfen, China

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

44

Lastpage

48

Abstract

The problem of L₁-induced performance analysis for continuous positive systems with time-delay is investigated in this paper. At first, we propose a integral method to compute the value of the system L₁-induced norm, and the relationship between the transfer function and L₁-induced norm of such systems is obtained. Then, the necessary and sufficient condition is given to ensure that such systems are asymptotically stable and have a prescribed L₁-induced performance by linear Lyapunov function. At last, we get a conclusion that time-delay is independent of the L₁-induced performance of such systems.

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; delay systems; transfer functions; L₁-induced performance analysis; asymptotic stability; continuous positive time-delay systems; integral method; linear Lyapunov function; necessary condition; sufficient condition; system L₁-induced norm; transfer function; Asymptotic stability; Control systems; Linear systems; Lyapunov methods; Performance analysis; Stability analysis; Vectors; L1-induced norm; Linear Lyapunov function; Positive systems; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6852115

Filename

6852115