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Journal Articles SIAM Journal on Control and Optimization Year : 2014

Development Of Homogeneity Concept For Time-Delay Systems

Abstract

The notion of homogeneity is extended to the time-delay nonlinear systems. Applications of Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions for stability investigation are analyzed. The notion of local homogeneity is introduced, relations between stability/instability of the locally approximating dynamics and the original time-delay system are established. A link between homogeneity and input-to-state stability is investigated. Examples of application of the proposed theory are given.
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Dates and versions

hal-00956878 , version 1 (07-03-2014)

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Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Development Of Homogeneity Concept For Time-Delay Systems. SIAM Journal on Control and Optimization, 2014, 52 (3), pp.1547-1566. ⟨10.1137/130908750⟩. ⟨hal-00956878⟩
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