Cooperative control for a class of large-scale linear system via delta operator approach

In this paper, the problem of cooperative control for a class of large-scale linear system is investigated via delta operator approach. Based on Lyapunov-Krasovskii function in delta domain, a state feedback controller is presented in terms of linear matrix inequalities. It is shown that the large-scale system can be cooperatively stabilized even if the subsystems has the bad stability. The proposed method can unify some previous related continuous and discrete systems into the delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the results.