Constrained H∞ estimation for time-varying networks with hybrid incomplete information

This paper deals with the constrained H-infinity estimation problem for a class of time-varying complex networks with hybrid incomplete information including randomly occurring uncertainties, randomly occurring nonlinearities, and fading measurements over a finite horizon. Communication links among nodes have uncertain coupling strengths, which can be transformed into a norm-bounded inner coupling matrix based on the interval matrix approach. The proposed performance requirements not only quantify the degree of the estimation error with regard to unknown-but-bounded disturbances but also confine the estimation error in a constrained set. By exploiting the intensive stochastic analysis and the set-membership method, sufficient conditions are developed under which networks fulfill the H-infinity performance and the bounded constraint, respectively. Then, a new criterion is derived to ensure the prescribed requirements in terms of recursive linear matrix inequalities suitable for online computation. Finally, a simulation example is provided to show the effectiveness of the developed results.