Robust Exponential Stability of a Class of Markovian Jump System with Polytopic Uncertainties and Mode-dependent delays
The robust stability is investigated for a class of Markovian jump system with polytopic uncertainties and mode-dependent time-varying delays.In the Markovian jump system,the mode of delay is different from the mode of system.An appropriate parameter-dependent and mixed-mode-dependent Lyapunov-Krasovskii functional is constructed to reduce the conservatism.Based on the Lyapunov-Krasovskii theory,integral inequality and reciprocally convex approach,a sufficient condition in terms of linear matrix inequalities(LMIs)is derived,which ensures the system stable.The developed criterion is delay-dependent,mode-dependent as well as parameter-dependent.Finally,numerical examples are provided to illustrate the less conservatism of our results.
Polytopic uncertainty Reciprocally convex approach Linear matrix inequality (LMI) Markovian jump system
Zhaohui Chen Qi Huang
Sichuan Provincial key Lab of Power System Wide-area Measurement and Control,University of Electroni Sichuan Provincial key Lab of Power System Wide-area Measurement and Control,University of Electroni
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
4094-4098
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）