OPTIMIZATION OF A CONTROL LAW TO SYNCHRONIZE MANIFOLDS BY A TRANSVERSE COMPONENT

被引：1

作者：

Cafaro, Adolfo Damiano ^{[1
]}

Fiori, Simone ^{[2
]}

机构：

[1] Univ Politecn Marche, Sch Informat & Automat Engn, Via Brecce Bianche, I-60131 Ancona, Italy

[2] Univ Politecn Marche, Dipartimento Ingn Informaz, Via Brecce Bianche, I-60131 Ancona, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 07期

关键词：

Riemannian manifold; exponential-speed synchronization; optimization problem; control effort; First-order autonomous oscillator; EXPONENTIAL SYNCHRONIZATION; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; COMPLEX; CHAOS;

D O I：

10.3934/dcdsb.2021213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper builds on the previous contribution by the second author, S. Fiori, Synchronization of first-order autonomous oscillators on Riemannian manifolds, Discrete and Continuous Dynamical Systems - Series B, Vol. 24, No. 4, pp. 1725 - 1741, April 2019. The aim of the present paper is to optimize a previously-developed control law to achieve synchronization of first order non-linear oscillators whose state evolves on a Riemannian manifold. The optimization of such control law has been achieved by introducing a transverse control field, which guarantees reduced control effort without affecting the synchronization speed of the oscillators. The developed non-linear control theory has been analyzed from a theoretical point of view as well as through a comprehensive series of numerical experiments.

引用

页码：3947 / 3969

页数：23

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