2020年5月25日,数据恢复四川省重点实验室复杂网络与保密通信方向曾德强老师团队在国际期刊《International Journal of Robust and Nonlinear Control》(IF:3.953,SCI二区)发表题为《Strictly dissipative stabilization of multiple-memory Markov jump systems with general transition rates: A novel event-triggered control strategy》的研究论文。
ABSTRACT:This paper investigates the strictly dissipative stabilization problem for multiple-memory Markov jump systemswith network communication protocol. Firstly, for reducing data transmission, we put forward a novel mode-dependent event-triggered communication scheme based on aperiodically sampled data. Secondly, a Markov jump system with general transition rates is considered to make the result more applicable, where the transition rates of some jumping modes allow to be completely known, or partially known, or even completely unknown. Thirdly, a less restrictive Lyapunov-Krasovskii functional, which is only required to be positive definite at end points of each subinterval of the holding intervals, is first introduced for event-triggered control issue. Based on the above methods, a sufficient condition with less conservatism is obtained to ensure the stochastic stability and dissipativity of the resulting closed-loop system. Meanwhile, an explicit design method of the desired controller is achieved. Finally, two numerical examples are presented to demonstrate the effectiveness and advantage of the proposed method.