Impulsive consensus control for complex dynamical networks with non-identical nodes and coupling time-delays

This paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, non-identical nodes and coupling time-delays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability (RGES) criteria are derived for the error system, under which global exponential consensus is achieved for the complex dynamical networks. These criteria are expressed in terms of LMIs and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus speed rate for global exponential consensus is also obtained. One example with numerical simulations is worked out for illustration.