Stability conditions for impulsive dynamical systems
Zitieren Sie bitte immer diese URN: urn:nbn:de:bvb:20-opus-268390
- In this work, we consider impulsive dynamical systems evolving on an infinite-dimensional space and subjected to external perturbations. We look for stability conditions that guarantee the input-to-state stability for such systems. Our new dwell-time conditions allow the situation, where both continuous and discrete dynamics can be unstable simultaneously. Lyapunov like methods are developed for this purpose. Illustrative finite and infinite dimensional examples are provided to demonstrate the application of the main results. These examplesIn this work, we consider impulsive dynamical systems evolving on an infinite-dimensional space and subjected to external perturbations. We look for stability conditions that guarantee the input-to-state stability for such systems. Our new dwell-time conditions allow the situation, where both continuous and discrete dynamics can be unstable simultaneously. Lyapunov like methods are developed for this purpose. Illustrative finite and infinite dimensional examples are provided to demonstrate the application of the main results. These examples cannot be treated by any other published approach and demonstrate the effectiveness of our results.…
Autor(en): | Sergey Dashkovskiy, Vitalii Slynko |
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URN: | urn:nbn:de:bvb:20-opus-268390 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | Mathematics of Control, Signals, and Systems |
ISSN: | 1435-568X |
Erscheinungsjahr: | 2022 |
Band / Jahrgang: | 34 |
Heft / Ausgabe: | 1 |
Seitenangabe: | 95-128 |
Originalveröffentlichung / Quelle: | Mathematics of Control, Signals, and Systems 2022, 34(1):95-128. DOI: 10.1007/s00498-021-00305-y |
DOI: | https://doi.org/10.1007/s00498-021-00305-y |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 52 Astronomie / 520 Astronomie und zugeordnete Wissenschaften |
Freie Schlagwort(e): | impulsive systems; infinite-dimensional systems; input-to-state stability; lyapunov methods; nonlinear systems; robustness; stability |
Datum der Freischaltung: | 07.06.2022 |
Lizenz (Deutsch): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |