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Event-triggered synchronization control for complex networks with uncertain inner coupling
Authors:Qi Li  Jinling Liang  Huisheng Shu
Affiliation:1. School of Information Science and Technology, Donghua University, Shanghai, China.;2. Department of Mathematics, Southeast University, Nanjing, China.;3. Faculty of Engineering, The CSN Research Group, King Abdulaziz University, Jeddah, Saudi Arabia.
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
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