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Switching systems with dwell time: Computing the maximal Lyapunov exponentстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Chitour Y., Guglielmi N., Sigalitti M., Protasov V.Yu
- Журнал: Nonlinear Analysis: Hybrid Systems
- Том: 40
- Номер: 5
- Год издания: 2021
- Издательство: Elsevier BV
- Местоположение издательства: Netherlands
- Первая страница: 1
- Последняя страница: 28
- Номер статьи: 101021
- DOI: 10.1016/j.nahs.2021.101021
- Аннотация: We study asymptotic stability of continuous-time systems with mode-dependent guaranteeddwell time. These systems are reformulated as special cases of a general class of mixed (discrete–continuous) linear switching systems on graphs, in which some modes correspond to discrete actions and some others correspond to continuous-time evolutions. Each discrete action has its own positive weight which accounts for its timeduration. We develop a theory of stability for the mixed systems; in particular, we prove the existence of an invariant Lyapunov norm for mixed systems on graphs and study its structure in various cases, including discrete-time systems for which discrete actionshave inhomogeneous time durations. This allows us to adapt recent methods for the joint spectral radius computation (Gripenberg’s algorithm and the Invariant PolytopeAlgorithm) to compute the Lyapunov exponent of mixed systems on graphs.
- Добавил в систему: Протасов Владимир Юрьевич