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Stability of stochastic impulsive coupled systems with impulse-disturbed links and Markov switching via dynamic
Haoming Han1, Shuai Zhang2, Yan Liu2
1College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China.
Abstract:
Novel results regarding the stability of stochastic impulsive coupled systems (ICSs) with impulse-disturbed links and Markov switching via dynamic event-triggered control (ETC) are presented. Distinct from existing studies on ICSs, impulses not only affect the states of nodes at impulsive instants, but also have an impact on coupling links, a feature that better aligns with practical scenarios. Furthermore, Markov switching is considered to make ICSs more accurately simulate the actual models. To address the challenges arising from the impulsive effect on coupling links, the conception of average lasting effect is introduced. Then, by applying dynamic ETC and the Lyapunov method, some sufficient conditions for the stability of stochastic ICSs with impulse-disturbed links are given. Compared with the normal ETC, the dynamic event-triggered mechanism is related to impulsive strength, which further improves the sensitivity and dynamism of ETC for ICSs. Finally, the derived theoretical results are applied to the stochastic impulsive coupled oscillators (SICOs) with impulse-disturbed links and the validity of our results is demonstrated by some numerical simulations.
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