New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality

Abstract

In this work, the issue of synchronization control for complex dynamical networks with time-varying coupling delay based on sampled-data is addressed. First, the sampled-data control is transformed into the bounded sampling period with time-varying delay. As a result, this model is converted to the investigation for synchronization of complex networks with multiple time-varying delays. Second, an appropriate Lyapunov-Krasovkii functional (LKF) is constructed, which composites of double and triple integral terms in quadratic form. Third, we propose a new integral inequality including a reciprocally convex technique which leads to a better condition. Fourth, the solution for the controller gain matrix is obtained by solving linear matrix inequalities (LMIs) with available software such that the synchronization error system is exponentially stable. Finally, the effectiveness and less conservatism of our proposed method are demonstrated via numerical examples.

Keywords

• Sampled-data control
• complex dynamical networks (CDNs)
• time-varying coupling delay
• delay-dependent criteria
• synchronization