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State-feedback control of discrete-time switched positive linear systems

State-feedback control of discrete-time switched positive linear systems

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This brief concerns the stabilisation problem for a class of slowly switched positive linear systems in discrete-time context. The average dwell-time switching associated with the corresponding state-feedback controllers is designed to stabilise the closed-loop systems and keep the states non-negative. The developed conditions are formulated as linear matrix inequalities, which can be directly used for controller synthesis and switching designing. Finally, a numerical example is presented to show the feasibility of the obtained theoretical results.

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