Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Creator:
Balasubramaniam, Pagavathigounder ; Lakshmanan, Shanmugam ; Rakkiyappan, Rajan
Date:
Resource Type:
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. ; Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, Volume 22, Number 2 (2012) ; 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) (2012)
Last modified:
Jul 14, 2025
In our library since:
Sep 4, 2018
Number of object content hits:
231
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/55090
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 1 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 2 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 3 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 4 (2012)
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