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Stability conditions for impulsive dynamical systems

Please always quote using this 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.show moreshow less

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Metadaten
Author: Sergey Dashkovskiy, Vitalii Slynko
URN:urn:nbn:de:bvb:20-opus-268390
Document Type:Journal article
Faculties:Fakultät für Mathematik und Informatik / Institut für Mathematik
Language:English
Parent Title (English):Mathematics of Control, Signals, and Systems
ISSN:1435-568X
Year of Completion:2022
Volume:34
Issue:1
Pagenumber:95-128
Source: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
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 52 Astronomie / 520 Astronomie und zugeordnete Wissenschaften
Tag:impulsive systems; infinite-dimensional systems; input-to-state stability; lyapunov methods; nonlinear systems; robustness; stability
Release Date:2022/06/07
Licence (German):License LogoCC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International