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

TL;DR

This paper introduces a convex optimization framework for finite-time control of discrete-time positive linear systems with time-varying parameters, addressing a gap in efficient solutions for applications in biology, economics, and epidemiology.

Contribution

It presents a novel convex optimization approach to solve finite-time control problems for positive linear systems with time-varying parameters.

Findings

Effective control solutions demonstrated through numerical simulations.

Applicable to diverse fields like biology, economics, and network epidemiology.

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.