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

• Autorzy: Pagavathigounder Balasubramaniam , Shanmugam Lakshmanan , Rajan Rakkiyappan
• 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

delay-dependent stability; linear matrix inequality; Lyapunov-Krasovskii functional; stochastic systems

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 2
• Strony: 339-351

Daty

wydano

2012

otrzymano

2010-08-02

poprawiono

2011-01-24

poprawiono

2011-10-10

Twórcy

autor

Pagavathigounder Balasubramaniam

• Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram 624 302, Tamilnadu, India

autor

Shanmugam Lakshmanan

• Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram 624 302, Tamilnadu, India

autor

Rajan Rakkiyappan

• Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamilnadu, India

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Identyfikatory

DOI

10.2478/v10006-012-0025-6