Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems

Symmetry

Lichao Feng¹  Xianhui Meng²  Zhigang Lu²  Xinbin Li²  Zhiyou Liu² 

[1] College of Science, North China University of Science and Technology, Tangshan 063000, China;Key Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;

关键词: discrete feedback control;    periodically intermittent control;    exponential stabilization;    Markov jumping stochastic systems;   

DOI  :  10.3390/sym13122447

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown