论文标题
不确定随机反应网络的奇迹性,输出控制性和对立的积分控制
Ergodicity, Output-Controllability, and Antithetic Integral Control of Uncertain Stochastic Reaction Networks
论文作者
论文摘要
随机反应网络的登山性和输出控制性已被证明是必不可少的属性,可以实现其控制,例如,例如对立的积分控制。我们在这里建议将这些属性扩展到不确定网络的情况。为此,引入了间隔,鲁棒,符号和结构性的概念/输出控制性。获得的结果与[Briat,Gupta&Khammash,Cell Systems,2016]中获得的结果相同,其中这些特性的特征是以控制理论概念,线性代数条件,线性程序和图理论/代数条件为特征。一个重要的结论是,所有这些属性都可以以线性程序为特征。给出了两个示例以示例。
The ergodicity and the output-controllability of stochastic reaction networks have been shown to be essential properties to fulfill to enable their control using, for instance, antithetic integral control. We propose here to extend those properties to the case of uncertain networks. To this aim, the notions of interval, robust, sign, and structural ergodicity/output-controllability are introduced. The obtained results lie in the same spirit as those obtained in [Briat, Gupta & Khammash, Cell Systems, 2016] where those properties are characterized in terms of control theoretic concepts, linear algebraic conditions, linear programs, and graph-theoretic/algebraic conditions. An important conclusion is that all those properties can be characterized by linear programs. Two examples are given for illustration.