On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems

P. Pepe, E. Fridman

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The paper shows that the global exponential stability property is preserved, under suitable fast sampling, whenever the dynamics of the system at hand is described by globally Lipschitz functions. The Halanay's inequality is used in order to prove this result. Both fully nonlinear delay-free and fully nonlinear retarded systems are investigated.

Original languageEnglish
Pages (from-to)41-46
Number of pages6
JournalIFAC-PapersOnLine
Volume49
Issue number10
DOIs
StatePublished - 2016

Funding

FundersFunder number
Ministero dell’Istruzione, dell’Università e della Ricerca

    Keywords

    • Exponential Stabilization
    • Globally Lipschitz Systems
    • Halanay's Inequality
    • Retarded Functional Differential Equations
    • Sampled-Data Stabilization

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