Sampled-Data Synchronization Control and State Estimation for Complex Networks

Abstract

Chapter 9 is concerned with the sampled-data synchronization control problem for a class of complex dynamic networks. The addressed synchronization control problem is first formulated as an exponential mean-square stabilization problem for a class of complex dynamical networks. Then, a Lyapunov functional is constructed to obtain sufficient conditions under which the dynamical complex network is exponentially mean-square stable. Both Gronwall’s inequality and Jenson’s integral inequality are utilized to substantially simplify the derivation of the main results. Subsequently, a set of sampled-data synchronization controllers is designed in terms of the solution to certain matrix inequalities. Moreover, the sampled-data H ∞ filtering problem is also considered for a class of stochastic genetic regulatory networks with both extrinsic and intrinsic disturbances. Some sufficient conditions are established so as to guarantee both the exponential mean-square stability and the H ∞ performance for the filtering error dynamics. Based on this, the desired sampled-data H ∞ filter is designed by solving a set of certain LMIs.