一类具有逻辑效应的混合系统均衡点的存在性和稳定性

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Control Systems Letters Pub Date : 2024-08-30 DOI:10.1109/LCSYS.2024.3452170

Qiyao Wang;Jitao Sun

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引用次数: 0

摘要

在这封信中，我们研究了一类具有逻辑效应的混合系统。首先，我们借助半张积（STP，即程积）给出了混合系统的代数形式。接着，提出了均衡存在的必要条件和充分条件。此外，还讨论了局部渐近稳定性和吸引子盆地。最后，提供了一些数值示例来证明理论结果的正确性。

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Existence and Stability of Equilibria for a Class of Hybrid Systems With Logical Effects

In this letter, a class of hybrid systems with logical effects is investigated. First, we give the algebraic form of the hybrid systems with the help of the semi-tensor product (STP, i.e., Cheng product). Next, a necessary and sufficient condition for the existence of equilibria is presented. Further, the local asymptotic stability and basins of attractors are discussed. Finally, some numerical examples are provided to demonstrate the validity of the theoretical results.

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来源期刊

IEEE Control Systems Letters Mathematics-Control and Optimization

CiteScore

4.40

自引率

13.30%

发文量

471