Commutative algebraic methods for controllability of discrete-time polynomial systems
Commutative algebraic methods for controllability of discrete-time polynomial systems
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DOI：
10.1080/00207179.2015.1076939
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发表时间：
2016-02
影响因子：
2.1
通讯作者：
Y. Kawano;T. Ohtsuka
中科院分区：
文献类型：
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作者：
Y. Kawano;T. Ohtsuka
摘要本文研究离散时间多项式系统的能控性。首先，我们提出了一个前向可达性（本地可达性）的条件，可以在有限的时间内验证，与传统的条件。其次，我们给出了可逆系统的向后可达性（局部能控性）条件和可逆性的验证条件。最后，给出了前向可达系统可达性和后向可达系统可控性的充分条件。
ABSTRACT In this paper, we consider controllability of discrete-time polynomial systems. First, we present a forward accessibility (local reachability) condition that can be verified in finite time, in contrast to conventional conditions. Second, we give a backward accessibility (local controllability) condition for an invertible system and a condition to verify invertibility. Finally, we derive sufficient conditions to test whether the forward accessible system is reachable and to test the backward accessible system is controllable.