Exponential synchronization for Markovian jump Lur’e complex networks using sliding mode control: Application to circuit system
Saravanan Shanmugam, Premraj Durairaj, Rajarathinam Vadivel, Karthikeyan Rajagopal · European Journal of Control · 2025
This paper deals with the synchronization problem in Markovian jump complex dynamic networks (MJCDNs) with time-varying delays. The network consists of N nodes that switch between different modes according to known Markovian jump parameters. The synchronization of these complex networks is achieved by sliding mode control (SMC) strategies. The study uses a suitable Lyapunov–Krasovskii functional (LKF) to formulate delay-dependent synchronization criteria as linear matrix inequalities, using free weighted matrices generated by the LKF. Furthermore, an integral sliding surface is developed to ensure the exponential stability of MJCDNs, and a controller is synthesized to derive the trajectory of the closed-loop system to the desired sliding surface. Two numerical examples demonstrate the practical application of the derived theoretical results.