A parameterized delay-dependent control of switched discrete-time systems with time-delay

For a, class of discrete-time systems with time-varying delays under arbitrary switching sequence, this paper develops complete delay-dependent results for stability analysis and control synthesis using appropriate switched Lyapunov-Krasovskii functional. We characterize parameterized, LMI-based, conditions the feasibility of which guarantee that the switched, delay system, is delay-dependent asymptotically stahle with an L₂-ga, in smaller than a, prescribed, constant level. Following this procedure, these conditions do not require overbounding or ill-posed, inequalities. Switched, state and, static output feedback schemes are designed, such that the corresponding switched, closed-loop system, is delay-dependent asymptotically stability with an L₂-ga, in smaller than a, prescribed, constant level. A representative example is worked, out in detail to illustrate the theoretical developments.