Robust stability and L2-gain analysis for uncertain discrete-time switched systems with time-delay

The problems of robust stability and L₂-gain analysis and synthesis for a class of uncertain discrete-time switched systems with time-delay are addressed. Based on the constructive use of an appropriate switched Lyapunov function, switched systems with convex-bounded parameter uncertainties in all system matrices are investigated to make the linear switched systems are uniform quadratic stability with an L₂-gain smaller than a given constant level. System synthesis is to design switched feedback schemes, whether based on state-, output measurements or by using dynamic output feedback, to guarantee that the corresponding closed-loop system enjoys the uniform quadratic stability with an L₂-gain smaller than a prescribed constant level. The example is proposed to demonstrate the feasibility and effectiveness of those approaches.