Optimal Distributed Controller Design for Nonlinear Coupled Dynamical Networks

Abstract EN

This paper is concerned with the optimal distributed impulsive controller design for globally exponential synchronization of nonlinear dynamical networks with coupling delay.

By the Lyapunov-Razumikhin method, a novel criterion is proposed to guarantee the global exponential synchronization of the coupled delayed network with distributed impulsive control in terms of matrix inequalities.

The sum of coupling strengths of the distributed impulsive control is minimized to save the control effort.

Finally, the effectiveness of the proposed method has been demonstrated by some simulations.