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On structural accessibility of network nonlinear systems
Systems & Control Letters ( IF 2.1 ) Pub Date : 2021-06-12 , DOI: 10.1016/j.sysconle.2021.104972
Qingkai Meng , Hao Yang , Bin Jiang

This paper studies the structural accessibility for a class of network nonlinear systems (NNSs) with meromorphic vector fields. Nonlinear eigenvector and differential one-form are employed to establish a Kalman rank typed strong accessibility condition, which helps to prove that the structural accessibility of the considered NNSs is equivalent to the structural controllability of their linearized systems. Such an equivalence allows us to analyse and design NNSs by using the well-developed linear system theories. A chemical reaction system example is taken to illustrate the theoretical result.



中文翻译:

网络非线性系统的结构可达性

本文研究了一类具有亚纯向量场的网络非线性系统 (NNS) 的结构可达性。非线性特征向量和微分形式被用来建立卡尔曼秩类型强可达性条件,这有助于证明所考虑的NNS的结构可达性等价于其线性化系统的结构可控性。这种等价性使我们能够使用成熟的线性系统理论来分析和设计 NNS。以化学反应系统为例来说明理论结果。

更新日期:2021-06-13
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