Finite-time extended dissipative analysis for a class of discrete time switched linear systems

In this paper, the issues of finite-time extended dissipative analysis are investigated for a class of uncertain discrete time switched linear systems. Sufficient conditions for the finite-time boundedness and finite-time extended dissipative performance of the considered systems are proposed by solving some linear matrix inequalities. Using the concept of extended dissipative, we can solve the H∞, L2 — L∞, Passivity and (Q, S, R)-dissipativity performance in a unified framework.