Feinberg-Horn-Jackson零亏型化学反应网络的状态估计器
State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type
摘要：
控制理论中最有趣的问题之一是构造观测器。观测器使用测量探针提供的数据或部分状态信息来计算动力系统的内部状态的估计。对于线性系，Luenberger观测器（也被称为“确定性卡尔曼滤波器”，因为它们相当于不考虑测量噪声的统计而设计的卡尔曼滤波器）提供了一般的解决方案，但是，对于非线性系统，建立观测器存在和收敛的普遍适用条件是一个开放和活跃的研究领域。本文给出了Feinberg-Horn-Jackson零亏型化学反应网络可检测性的一个充要条件，以及满足该条件时观测器的显式构造.
英文摘要：
One of the most interesting questions in control theory is that of constructing observers. Observers compute estimates of the internal states of a dynamical system, using data provided by measurement probes or partial state information. For linear systems, Luenberger observers (also known as "deterministic Kalman filters" since they amount to Kalman filters designed without regard to the statistics of measurement noise) provide a general solution, but, for nonlinear systems, establishing generally applicable conditions for existence and convergence of observers is an open and active area of research. This paper provides a necessary and sufficient condition for detectability, and an explicit construction of observers when this condition is satisfied, for chemical reaction networks of the Feinberg-Horn-Jackson zero deficiency type.
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