Stability Criteria for Systems with Interval Time-Varying Delay
The cross-product terms in the derivative of Lyapunov-Krasovskii functional are disposed by using two integralinequalities, 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.
LI Boren
College of Computer, Dongguan University of Technology, Dongguan, Guangdong, 523808, P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01(万方平台首次上网日期,不代表论文的发表时间)