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arXiv · 2008.01024

Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization

Chengyan Zhao·Masaki Ogura·Kenji Sugimoto
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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.

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Chengyan Zhao, Masaki Ogura, Kenji Sugimoto. 2020-08-03. Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization. https://arxiv.org/abs/2008.01024

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