周期选择器的稳定性——具有渐近稳定集的线性微分包含

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140645

M. Morozov

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摘要

研究具有渐近稳定集的周期选择器-线性微分包含。利用变分方法得到了一类包涵的渐近稳定性判据，并证明了该类包涵的一致渐近稳定性与一致指数稳定性性质的等价性。

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On Stability of Periodic Selector-Linear Differential Inclusions with Asymptotically Stable Sets

This paper considers periodic selector-linear differential inclusions with asymptotically stable sets. The criterium of asymptotic stability is obtained by means of the variational technique and the equivalence of the properties of uniform asymptotic stability and uniform exponential stability for the considered class of inclusions is proved.

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

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