Minimum energy control of descriptor positive discrete-time linear systems

Purpose – The purpose of this paper is to formulate and solve the minimum energy control problem of descriptor positive discrete-time linear systems. Design/methodology/approach – A procedure for computation of the optimal input sequences and the minimal value of the performance index is proposed. Findings – Necessary and sufficient conditions for the positivity and reachability of descriptor positive discrete-time linear systems and sufficient conditions for the existence of solution to the minimum energy control problem are given. Originality/value – A method for solving of the minimum energy control problem of descriptor positive discrete-time linear systems is proposed.

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