非负变量系统的局部化分析

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140473

A. Krishchenko, E. Tverskaya

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引用次数: 0

摘要

为了研究具有正坐标的平衡点，我们使用局部化方法，找到包含所有紧不变集合的集合，这些集合位于变量为正的区域内。这些集合以坐标函数的水平曲面为界。我们考虑了二维和四维系统，并指出了这些集合由两个内部平衡点定义的情况。

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Analysis of systems with non-negative variables using the localization method

To study equilibrium points with positive coordinates, we use the localization method and find sets containing all compact invariant sets lying in the region with positive values of the variables. These sets are bounded by level surfaces of coordinate functions. We consider two– and four–dimensional systems and indicate the cases when these sets are defined by two inner equilibrium points.

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2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

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