Stabilization of hybrid stochastic differential equations with multiple delays via intermittent control
MATHEMATICAL METHODS IN THE APPLIED SCIENCES(2024)
摘要
In this paper, we study stability of hybrid stochastic differential equations (SDEs) with multiple delays by intermittent control based on time-varying delay observations. By constructing an auxiliary non-delayed hybrid stochastic differential equation and using M$$ M $$-matrix theory, Lyapunov method, and the comparison principle, sufficient criterions to guarantee the q$$ q $$th moment exponential stability and almost sure exponential stability of hybrid SDEs are derived. Finally, a simulation example is shown to illustrate the validity of theoretical results.
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关键词
Brownian motion,hybrid stochastic differential equations,intermittent control,multiple delays
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