Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization
Systems and Control
2020-08-04 v1 Systems and Control
Optimization and Control
Abstract
In this paper, we study a class of finite-time control problems for discrete-time positive linear systems with time-varying state parameters. Although several interesting control problems appearing in population biology, economics, and network epidemiology can be described as the class of finite-time control problems, an efficient solution to the control problem has not been yet found in the literature. In this paper, we propose an optimization framework for solving the class of finite-time control problems via convex optimization. We illustrate the effectiveness of the proposed method by numerical simulation in the context of dynamical product development processes.
Cite
@article{arxiv.2008.01024,
title = {Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization},
author = {Chengyan Zhao and Masaki Ogura and Kenji Sugimoto},
journal= {arXiv preprint arXiv:2008.01024},
year = {2020}
}