Title :
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
fDate :
May 31 2014-June 2 2014
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;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852115
