论文标题
通过凸优化对离散时间正线性系统的有限时间控制
Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization
论文作者
论文摘要
在本文中，我们研究了具有随时间变化的状态参数的离散时间正线性系统的一类有限时间控制问题。尽管人口生物学，经济学和网络流行病学中出现的几个有趣的控制问题可以描述为有限时间控制问题类别，但在文献中尚未发现对控制问题的有效解决方案。在本文中，我们提出了一个优化框架，用于通过凸优化解决有限时间控制问题的类别。我们在动态产品开发过程的背景下通过数值仿真来说明该方法的有效性。
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.
