Stability of Time-Varying Hybrid Stochastic Delayed Systems With Application to Aperiodically Intermittent Stabilization
研究了带马尔可夫切换的时变混合随机时滞系统的稳定性，提出了基于李雅普诺夫函数的充分判据，并直接用于非周期间歇控制下的系统镇定，放宽了现有结果对控制/休息宽度比例的限制。
This article is concerned with the stability analysis of time-varying hybrid stochastic delayed systems (HSDSs), also known as stochastic delayed systems with Markovian switching. Several easy-to-check and less conservative Lyapunov-based sufficient criteria are derived for ensuring the stability of studied systems, where the upper bound estimation for the diffusion operator of the Lyapunov function is time-varying, piecewise continuous, and indefinite. It should be stressed that our results can be directly used to analyze the stabilization of HSDSs via aperiodically intermittent control (AIC). Compared with the existing results about AIC, the restrictions on the bound of each control/rest width and the maximum proportion of rest width in each control period are removed. Thus, the conservativeness is reduced. Finally, two examples, together with their numerical simulations, are provided to demonstrate the theoretical results.