Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
For general boundary control systems in factor form some necessary and sufficient conditions for generation of an analytic exponentially stable semigroup are proposed in both direct and perturbation forms for comparison. The direct approach is applicable to operators with the numerical range satisfying certain additional conditions. In particular, it applies to operators similar to convexoids and therefore it generalizes previous results known for hyponormal operators. ; The perturbation result (indirect approach) is derived and formulated as an exponential stability robustness result using the frequence-domain considerations. It is expressed in terms of some estimates of the resolvent growth over the open right complex half-plane and compared with some recent results. The analysis is illustrated in detail with examples of an unloaded and loaded electric RC-transmission line with proportional negative feedback.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 31, number 2 (2021) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- 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) (2021)
Last modified:
Jul 18, 2025
In our library since:
Jul 18, 2025
Number of object content hits:
10
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/101349
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 31, number 1 (2021)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 31, number 2 (2021)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 31, number 3 (2021)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 31, number 4 (2021)
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| Edition name | Date |
|---|---|
| Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems | Jul 18, 2025 |
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