Decentralized stabilization of interconnected switched descriptors via a multiple switched Lyapunov functional

The decentralized stabilization of large scale switched descriptor systems under arbitrary switching laws is proposed in this paper. A large scale switched descriptor can be split into a set of smaller interconnected switched descriptors. Then, a set of switched controllers is employed to ensure the stabilization of the considered class of large scale descriptors. The proposed LMI stability conditions are obtained from a multiple switched Lyapunov-like candidate function. A numerical example is given to illustrate the effectiveness of the designed approach.