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

P. Pepe; E. Fridman

doi:10.1016/j.ifacol.2016.07.470

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

P. Pepe, E. Fridman

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	41-46
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	49
Issue number	10
DOIs	https://doi.org/10.1016/j.ifacol.2016.07.470
State	Published - 2016

Keywords

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

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

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10.1016/j.ifacol.2016.07.470

Cite this

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

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.",

keywords = "Exponential Stabilization, Globally Lipschitz Systems, Halanay's Inequality, Retarded Functional Differential Equations, Sampled-Data Stabilization",

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year = "2016",

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AU - Pepe, P.

AU - Fridman, E.

PY - 2016

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N2 - 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.

AB - 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.

KW - Exponential Stabilization

KW - Globally Lipschitz Systems

KW - Halanay's Inequality

KW - Retarded Functional Differential Equations

KW - Sampled-Data Stabilization

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DO - 10.1016/j.ifacol.2016.07.470

M3 - مقالة

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VL - 49

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EP - 46

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 10

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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