Abstract
This paper copes with the problems of l 1 -gain analysis and control for switched positive systems with a dwell time constraint. State-dependent switching adopted in this paper satisfies minimal dwell time constraint to avoid possible arbitrarily fast switching. By constructing multiple linear co-positive Lyapunov functions, sufficient conditions of stability and l 1 -gain property are developed under the proposed switching strategy. Then, an effective state feedback controller is designed to ensure that the closed-loop system is positive and has l 1 -gain property. Finally, a simulation example is given to illustrate the effectiveness and potential of the proposed method.
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