The Minimum Energy Problem for Positive Linear Systems
Access Status
Open access
Authors
Chotijah, Siti
Date
2017Supervisor
Prof. Yong Hong Wu
Type
Thesis
Award
PhD
Metadata
Show full item recordFaculty
Science and Engineering
School
Mathematics and Statistics
Collection
Abstract
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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