Stabilization of Complex Dynamical Networks by H-infinity Control

The problem of H-infinity control is considered in this paper for the stabilization of complex dynamical network subject to noise disturbance. The proposed dynamical network model includes both intrinsic disturbance of single node and communication noise over the network connections. Single controller is constructed for the exponential stabilization of dynamical network, and certain prescribed H-infinity performance constraint is satisfied. The reason why only one controller is valid for H-infinity stabilization of dynamical network is the full utilization of network's local connections. One important feature of this paper is the introduction of the H-infinity performance concept into the complex dynamial network. The derived criteria are expressed in terms of linear matrix inequalities (LMIs), which can be easily verified by resorting to recently developed algorithm. Numerical example is given to illustrate the effectiveness of the derived results.