Journal
SYSTEMS & CONTROL LETTERS
Volume 162, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2022.105178
Keywords
Markovian switching; Impulsive perturbations; pth moment exponential stability; Stabilization
Funding
- National Research Foundation of Korea - Korea Government (MIST) [NRF-2021R1F1A1062361]
- National Science Foundation [DMS-1853467]
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This paper investigates moment exponential stability of a class of Markovian switching stochastic differential equations with impulsive perturbations. Explicit criteria for stability and instability are derived, and the contributions of Markovian switching and impulsive perturbations to stability and instability are revealed.
This paper is devoted to moment exponential stability of a class of Markovian switching stochastic differential equations with impulsive perturbations. Taking into consideration the long time behavior of the switching device, we derive explicit criteria for stability and instability. The contribution of the Markovian switching and impulsive perturbations to the stability and instability is revealed. (c) 2022 Elsevier B.V. All rights reserved.
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