The Minimum Energy Problem for Positive Linear Systems
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In this thesis, we consider the minimum energy problem, one of the classical problems of linear control theory, for positive linear (discrete-time and continuous-time) systems. We develop analytic solutions for the minimum energy problem for positive linear systems with fixed initial and final states using the dynamic programming approach. To illustrate the analytic results we provide some numerical examples. Two applications related to energy and ecology are also presented in this thesis.
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