分布参数同步系统类梯度行为的新准则

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140672

V. Smirnova, A. Proskurnikov, E. E. Pak, R. V. Titov

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引用次数: 0

摘要

研究一般线性定常块(可能是无限维的)与周期非线性的互连所得到的Lur 'e系统的稳定性。这样的系统通常有多重平衡。本文建立了两个新的频率-代数稳定性判据。Popov的“先验积分指标”法、Leonov的非局部约简法和Bakaev-Guzh技术。

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New criteria for gradient–like behavior of synchronization systems with distributed parameters

This paper is concerned with stability properties of a Lur’e system obtained by interconnection of a general linear time-invariant block (possibly, infinite-dimensional) and a periodic nonlinearity. Such systems usually have multiple equilibria. In the paper, two new frequency-algebraic stability criteria are established by using. Popov’s method of "a priori integral indices", Leonov’s method of nonlocal reduction and the Bakaev-Guzh technique.

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

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