ABSTRACT
This chapter investigates the H∞ synchronization control problem for a class of dynamical networks with randomly varying nonlinearities. It highlights the main contributions: a new dynamical networks model covers the randomly varying nonlinearities whose occurrence probability is described by a series of varying Bernoulli distributions, yet taking value on a certain interval, which is closer to the practical engineering; and the potential conservatism will be reduced, resulting from time varying probability distributions via introducing the parameter dependent Lyapunov function and slack variable. The main contributions include: an array of dynamical controller gains for complex networks has been developed, which is scheduled with the changeable probability distributions. The chapter provides a sufficient condition to guarantee the exponentially stable of dynamical networks, and derives the controller gain of each node in terms of the solutions to a sequence of linear matrix inequalites. An illustrated numerical simulation is given to show the effectiveness and applicability of proposed algorithm.
