Non-fragile sliding mode control for $${H_\infty }$$/passive synchronization of master-slave Markovian jump complex dynamical networks with time-varying delays

Abstract

This article considers the master-slave Markovian jump complex dynamical networks (CDNs) with multiple time-varying delays by designing a non-fragile sliding mode control mechanism to achieve H 1 /passive synchronization. First, by introducing a non-fragile sliding surface, master-slave CDNs can achieve H 1 /passive synchronization, and the state trajectory of CDNs can arrive the sliding surface based on a suitable controller. By applying an appropriate Lyapunov-Krasovskii functional (LKF) that combines triple and four integral terms, using the reciprocal convex combination method and utilizing a few novel integral inequalities, the criterion of H 1 /passive synchronization is established for master-slave CDNs. Besides, the prospective criterion of H 1 /passive synchronization can be transformed into the form of linear matrix inequalities. Moreover, reasonability of theoretical results is proved via numerical simulations.

Resilient annular finite‐time synchronization for master‐slave systems under scaling attacks

“…In [10], the master‐slave synchronization problem has been studied under the event‐triggered mechanism subject to quantization. Based on the non‐fragile sliding mode control mechanism and multiple time‐varying delays, master‐slave Markovian jump complex networks have been investigated in [11] using combinations of triple and four integral terms in the Lyapunov–Krasovskii functional and the reciprocal convex combination method in the main results.…”