H∞ control of time-delay switched linear systems by state-dependent switching

In this paper we propose contributions on the H∞ control of switched linear systems subject to time-delays through the assignment of the switching law. Based on previous results related to switched linear systems with no delays and exploiting the concept of piecewise-quadratic Lyapunov-Krasovskii functional, we formulate the problem of finding suitable switching laws as the solution of a set of N matrix inequalities, where N is the number of modes. In this way both delay-independent and delay-dependent criteria are derived.