Abstract
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.
Subject
Applied Mathematics,Electrical and Electronic Engineering,Computational Theory and Mathematics,Computer Science Applications
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