Non-Fragile Passivity Synchronization Control for Complex Dynamical Networks With Dynamics Behavior Links

Abstract

Passivity synchronization of complex dynamical networks with time-varying dynamics behavior links is investigated in this paper. In many real-world complex dynamical networks have dynamic behavior which can cause synchronization losing in the networks. To make the systems synchronization, a non-fragile controller is given. By constructing a new Laypunov-Krasovskii functional and combining the reciprocal convex technique, sufficient conditions for complex dynamical networks to be synchronized are derived. The derived conditions can be solved by linear matrix inequalities (LMIs). In the end, two examples are presented to demonstrate the effectiveness of the proposed methods.

Keywords

• Non-fragile control
• passive theory
• dynamics behavior links
• complex dynamical network