Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems
Zhiyou Liu,
Lichao Feng,
Xinbin Li,
Zhigang Lu,
Xianhui Meng
Affiliations
Zhiyou Liu
Key Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Lichao Feng
College of Science, North China University of Science and Technology, Tangshan 063000, China
Xinbin Li
Key Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Zhigang Lu
Key Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Xianhui Meng
Key Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Motivated by the two strategies of intermittent control and discrete feedback control, this paper aims to introduce a periodically intermittent discrete feedback control in the drift part to stabilize an unstable Markov jumping stochastic differential system. It is illustrated that, by the approach of comparison principle, this can be achieved in the sense of almost sure exponential stability. Further, the stabilization theory is applied to Markov jumping stochastic recurrent neural networks.
