Finite-Time Stability Analysis for Resource Limited Chemical Reactions
Finite-Time Stability Analysis for Resource Limited Chemical Reactions
复制标题
资源有限化学反应的有限时间稳定性分析
DOI：
10.1109/lcsys.2020.3006052
复制
发表时间：
2021
影响因子：
3
通讯作者：
Hori Yutaka
中科院分区：
文献类型：
--
作者：
Matsunaga Tomoki;Uemura Ryosuke;Hori Yutaka
我们考虑在资源有限的情况下操作的化学反应系统，例如在封闭的试管中。这些系统在系统变量偏离正常操作区域之前只能操作有限的时间间隔。因此，为了表征系统的性能，重要的是分析正常操作的持续时间，这与有限时间稳定性的概念密切相关。在这封信中，我们提出了一个代数优化方法来分析有限时间稳定性的资源有限的化学反应。具体而言，我们提出了半定的程序，计算保证正常操作的持续时间的下限和上限，我们称之为生存时间，对于一组给定的不确定的初始浓度。建议的半定方案提供了越来越严格的生存时间的界限，通过增加变量和约束，允许调整的计算时间和保守性的界限之间的平衡。我们证明了所提出的方法使用再生器电路的DNA链置换反应。
We consider chemical reaction systems that operate in a resource limited situation such as in a closed test tube. These systems can operate only for a finite interval of time before the system variables deviate from the normal operating region. Thus, in order to characterize the performance of the systems, it is important to analyze the duration of the normal operation, which is closely related to the notion of finite-time stability. In this letter, we propose an algebraic optimization approach to analyze finite-time stability of resource limited chemical reactions. Specifically, we present semidefinite programs that compute guaranteed lower and upper bounds of the duration of the normal operation, which we call survival time, for a given set of uncertain initial concentrations. The proposed semidefinite programs provide progressively tighter bounds of survival time by increasing the variables and constraints, allowing for the tuning of the balance between the computational time and the conservativeness of the bounds. We demonstrate the proposed method using the regenerator circuit of DNA strand displacement reactions.