Extended dissipativity-based synchronization of uncertain chaotic neural networks with actuator failures

This paper addresses the problem of extended dissipativity-based synchronization for chaotic neural networks with polytopic-type uncertainties and actuator failures. By using a parameter-dependent Lyapunov function and a novel extended dissipation inequality, a criterion is proposed to guarantee that the synchronization error system is extended (X,Y,Z)-dissipative for all admissible uncertainties and actuator failures. Based on this criterion, a desired fault-tolerant controller is designed, which takes the possible actuator failures into account. A numerical example is presented to show the effectiveness of our proposed design method.