Title :
New delay-dependent stability and stabilization of linear system with state and input delays
Author :
Wang, Yijing ; Yan, Xianbo ; Zuo, Zhiqiang ; Zhao, Huimin ; Zhang, Guoshan
Author_Institution :
Sch. of Electr. Eng.&Autom., Tianjin Univ., Tianjin
Abstract :
This note deals with the delay-dependent stability and stabilization of linear system with state and input delays. Firstly, for the nominal system, by introducing the augmented Lyapunov functional and some free-weighting matrices, new delay-dependent stability and stabilization criteria of the system are presented. Then, these new conditions are extended to handle norm-bounded uncertain systems with state and input delays, which show less conservativeness. Numerical examples are given to illustrate the effectiveness of the proposed results.
Keywords :
Lyapunov methods; delay systems; linear systems; matrix algebra; stability; uncertain systems; Lyapunov functional; delay-dependent stability; free-weighting matrix; input delay; linear system stabilization; norm-bounded uncertain system; Automatic control; Automation; Delay effects; Electric variables measurement; Linear systems; Process control; Stability analysis; Stability criteria; Symmetric matrices; Uncertainty; Augmented Lyapunov functional; Delay-dependent; Integral inequality; Linear matrix inequality (LMI); Stabilization; Uncertainty;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4598228
