Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems

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...

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Bibliographic Details
Main Authors: Zhiyou Liu, Lichao Feng, Xinbin Li, Zhigang Lu, Xianhui Meng
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/12/2447
Description
Summary: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.
ISSN:2073-8994