Stabilization by intermittent control for hybrid stochastic differential delay equations

Mao, Wei and Jiang, Yanan and Hu, Liangjian and Mao, Xuerong (2022) Stabilization by intermittent control for hybrid stochastic differential delay equations. Discrete and Continuous Dynamical Systems - Series B, 27 (1). pp. 569-581. ISSN 1531-3492 (https://doi.org/10.3934/dcdsb.2021055)

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Abstract

This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time τ is bounded by τ ∗. Finally, an example is presented to illustrate our theory.

ORCID iDs

Mao, Wei, Jiang, Yanan, Hu, Liangjian and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
CORE (COnnecting REpositories)