Multievent-Triggered Sliding-Mode Control for a Class of Complex Dynamic Network

This article considers stability and sliding-mode control synthesis for a complex network, which is coupled by a series of interconnected subsystems. First, the coupled complex network with a multisliding mode is formulated by introducing a multisliding surface and a multievent-triggered mechanism. For this coupled complex network, we study the stability analysis in detail and derive the operational matrix constraints. Subsequently, a multisliding-mode control law is developed based on the multievent-triggered mechanism, and then, the sliding-mode control synthesis and reachability issues are achieved for the corresponding coupled closed-loop complex network. To conclude this article, a complex network coupled by two subsystems is provided to show the feasibility and validity of the proposed methods and criteria. Through the research of this article, we aim to develop the innovative control method and an effective communication protocol to realize the fast and accurate control for the coupled complex network.