Event-triggered synchronization control for complex networks with uncertain inner coupling

Abstract

This paper is concerned with the event-triggered synchronization control problem for a class of complex networks with uncertain inner couplings. The uncertain inner coupling under consideration is characterized in terms of the interval matrix. In order to save the communication and computation resources, the event-based mechanism is adopted and the event-triggered synchronization control scheme is proposed for the complex networks. First, we transform the event-triggered synchronization control problem into the exponential stabilization problem for a new class of dynamical systems with multiple delays. Then, by employing the Lyapunov stability theory, we derive a sufficient condition under which the multi-delayed system is exponentially stable. Subsequently, a set of event-triggered synchronization controllers is designed in terms of the solution to a linear matrix inequality that can be solved effectively by using available software. Finally, a numerical simulation example is presented to show the effectiveness of the proposed event-triggered control scheme.

Keywords:

• event-triggered control
• synchronization control
• complex network
• uncertain inner coupling

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61104125], [grant number 61134009], [grant number 61473076], [grant number 61273156], and [grant number 61174136]; the Shanghai Rising-Star Program of China [grant number 13QA1400100]; the Shu Guang project of Shanghai Municipal Education Commission and Shanghai Education Development Foundation [grant number 13SG34]; the Fundamental Research Funds for the Central Universities, and DHU Distinguished Young Professor Program.