Stability, l1-gain analysis and control synthesis for delayed discrete-time positive switched systems

This paper presents the exponential stability, l₁-gain analysis and control synthesis problems for discrete-time positive switched linear systems with time-varying delays. By using the methods of average dwell time, sufficient stability conditions are proposed and expressed as linear matrix inequalities (LMIs). Based on the obtained results, an effective method which is used for the construction of stabilizing feedback controller is derived, and a numerical example is provided to show the potential of the developed results.