Guaranteed Cost Finite-Time Control of Uncertain Discrete-Time Positive Switched Systems with Time Delay

This paper considers the guaranteed cost finitetime stability of uncertain discrete-time positive switched systems with time delay. Firstly, the definition of guaranteed cost finite-time stability is introduced. By using the multiple linear co-positive Lyapunov function (MLCLF) and average dwell time(ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee the corresponding closed-loop system is guaranteed cost finitetime stability(GCFTS). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.