Lyapunov Exponents of Linear Switched Systems

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.

Authors

Institutions

Publication Details

Journal
Regular and Chaotic Dynamics
Published
2025-08-01
DOI
https://doi.org/10.1134/s1560354725040033
Primary Topic
Stability and Control of Uncertain Systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Lyapunov Exponents of Linear Switched Systems

Michele Motta, Andrei Agrachev
Regular and Chaotic Dynamics
Stability and Control of Uncertain Systems
article

Lyapunov Exponents of Linear Switched Systems

Michele Motta, Andrei Agrachev
article en

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.

Regular and Chaotic DynamicsVol. 30(4)
Scuola Internazionale Superiore di Studi Avanzati (IT)
Affordable and clean energy
Openalex Percentile: Top 75%
Stability and Control of Uncertain Systems
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Lyapunov Exponents of Linear Switched Systems — Michele Motta, Andrei Agrachev · Regular and Chaotic Dynamics (2025) | TGRS Research Map | TGRS