Stability of retarded time-delay systems: Extensively augmented Lyapunov functional approach

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Tarih

2007

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Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The problem of stability of linear time-delay systems of retarded type is taken into consideration. A new extensively augmented Lyapunov-Krasovskii functional is introduced and some sufficient delay-dependent stability criteria are derived in terms of linear matrix inequalities (LMIs). Utilization of any model transformation method or any kind of bounding for the cross terms are strictly avoided in the stability analysis. Moreover, in order to reduce the complexity of the solution of the LMI set, the proposed method does not also employ any relaxation such as the recently given free weighting matrix approach. A numerical example is illustrated to indicate the effectiveness of the proposed method. © ICROS.

Açıklama

International Conference on Control, Automation and Systems, ICCAS 2007 -- 17 October 2007 through 20 October 2007 -- Seoul -- 72829

Anahtar Kelimeler

Extensively Augmented Lyapunov Functional, Linear Matrix İnequalities, Retarded Systems, Delay Control Systems, Linear Control Systems, Stability Criteria, Switching Systems, System Stability, Telecommunication Networks, Time Delay, Uncertain Systems, Cross Terms, Delay-Dependent Stability Criterion, Extensively Augmented Lyapunov Functional, Free Weighting Matrixes, Linear Times, Lyapunov-Krasovskii Functional, Model Transformations, Numerical Examples, Retarded Systems, Stability Analyses, Time-Delay Systems, Linear Matrix İnequalities

Kaynak

ICCAS 2007 - International Conference on Control, Automation and Systems

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N/A

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