一类混合非线性系统吸引域的稳定性分析与估计

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342044

A. Aleksandrov, E. Aleksandrova, A. Platonov, G. Dai

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引用次数: 0

摘要

研究了由齐次阶数小于1的齐次子系统族生成的切换系统。假设各子系统的零解是渐近稳定的。在停留时间方法的基础上，确定了切换律的条件，在此条件下，原点的给定球面邻域包含在相应混合系统零解的吸引域中。

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Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems

A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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