Stability Criteria for Systems with Interval Time-Varying Delay

被引：0
|
作者：
Li Boren [1 ]
机构：
[1] Dongguan Univ Technol, Coll Comp, Dongguan 523808, Guangdong, Peoples R China
来源：
2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年
关键词：
Lyapunov-Krasovskii functional; Robust Stability; Time-varying Delay; Integral-equality; Linear matrix inequality(LMI); DEPENDENT ROBUST STABILITY; UNCERTAIN SYSTEMS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1071 / 1075
页数：5
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