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## International Journal of Applied Mathematics and Computer Science

2012 | 22 | 2 | 339-351
Tytuł artykułu

### LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
EN
Rocznik
Tom
Numer
Strony
339-351
Opis fizyczny
Daty
wydano
2012
otrzymano
2010-08-02
poprawiono
2011-01-24
poprawiono
2011-10-10
Twórcy
• Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram 624 302, Tamilnadu, India
autor
• Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram 624 302, Tamilnadu, India
autor
• Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamilnadu, India
Bibliografia
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Bibliografia
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