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.…
Author: | Sergey Dashkovskiy, Vitalii Slynko |
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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): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |