Digital Library of Zielona Góra contains 63 411 digital objects
Object
Title: Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems
Contributor:
Korbicz, Józef (1951- ) - red.
Group publication title:
Abstract:
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. ; When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 17, number 4 (2007) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2007)
Last modified:
Jul 14, 2025
In our library since:
Apr 3, 2024
Number of object content hits:
127
All available object's versions:
https://www.zbc.uz.zgora.pl/publication/88422
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 2 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 3 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 4 (2007)
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| Edition name | Date |
|---|---|
| Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems | Jul 14, 2025 |
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