Observer‐based integral sliding mode control for uncertain neutral semi‐Markovian jumping systems with time‐varying delays

This article studies the observer-based integral sliding mode control (ISMC) problem for continuously uncertain neutral semi-Markovian jumping systems with time-varying delays (TDs). Firstly, based on designed state observer, an ISMC method is proposed first time. Then, building appropriate stochastic Lyapunov–Krasovskii functional by taking into account more information about TDs, a novel sufficient condition established robustly stability of overall system made up error and dynamics system. Furthermore, law devised to ensure reachability surface in finite Additionally, can be reduced known case, thus, TDs also investigated this article. Finally, three numerical examples explain effectiveness results obtained.