基于凸优化的离散正线性系统的快速控制
Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization
摘要：
研究了一类具有时变状态参数的离散正线性系统的有限时间控制问题。虽然在种群生物学、经济学和网络流行病学中出现的一些有趣的控制问题可以被描述为有限时间控制问题，但在文献中尚未找到有效的控制问题的解决方案。在本文中，我们提出了一个优化框架，通过凸优化来解决有限时间控制问题。我们说明了所提出的方法的有效性，通过数值模拟的背景下，动态的产品开发过程。
英文摘要：
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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