Lyapunov Exponents of Linear Switched Systems

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2025-08-11 DOI:10.1134/S1560354725040033

Andrei A. Agrachev, Michele Motta

引用次数: 0

Abstract

We explicitly compute the maximal Lyapunov exponent for a switched system on \(\mathrm{SL}_{2}(\mathbb{R})\) and the corresponding switching function which realizes the maximal exponent. This computation is reduced to the characterization of optimal trajectories for an optimal control problem on the Lie group.

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线性切换系统的Lyapunov指数

我们显式地计算了\(\mathrm{SL}_{2}(\mathbb{R})\)上一个切换系统的极大李雅普诺夫指数，以及相应的实现极大指数的切换函数。这种计算被简化为李群上最优控制问题的最优轨迹的表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.