Title :
Improved delay-range-dependent stability criterion for Markovian jump systems with interval time-varying delay
Author :
Zhang Yan ; Lou Ke ; Ge Yuan ; Jiang Ming
Author_Institution :
Anhui Key Lab. of Detection Technol. & Energy Saving Devices, Anhui Polytech. Univ., Wuhu, China
Abstract :
The delay-range-dependent stability problem for Markovian jump systems (MJSs) with interval time-varying is studied in this paper. On the basis of Lyapunov-Krasovskii stability theorem, the variables with the less conservative constraint conditions are used in Lyapunov-Krasovskii functions (LKF) to ensure the positiveness of the LKF. As a result, some sufficient conditions for stochastic stability are proposed. Finally, two examples are provided to illustrate the merits of the proposed method.
Keywords :
Lyapunov methods; Markov processes; delay systems; discrete time systems; stability; stochastic systems; LKF; Lyapunov-Krasovskii functions; Lyapunov-Krasovskii stability theorem; MJSs; Markovian jump systems; delay-range-dependent stability criterion; interval time-varying delay; stochastic stability; Delays; Power system stability; Stability criteria; Symmetric matrices; Time-varying systems; Upper bound; Delay-range-dependent stability; Interval time-varying delay; Markovian jump systems (MJSs); Stochastic stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162407
