Fading memory and stability

Guoqiang Zang; Pablo A. Iglesias

doi:10.1016/j.jfranklin.2003.11.002

Fading memory and stability

Guoqiang Zang, Pablo A. Iglesias

Whiting School of Engineering

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

5 Scopus citations

Abstract

The conditions under which discrete-time nonlinear affine systems possess fading memory are explored. A sufficient condition is given based on discrete-time Lyapunov theory; whereas a necessary condition is provided based on the relationship between the stability and the continuity of this system.

Original language	English (US)
Pages (from-to)	489-502
Number of pages	14
Journal	Journal of the Franklin Institute
Volume	340
Issue number	6-7
DOIs	https://doi.org/10.1016/j.jfranklin.2003.11.002
State	Published - Sep 2004

Keywords

Exponential stability
Fading memory
Lyapunov theory
Nonlinear system

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2003.11.002

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title = "Fading memory and stability",

abstract = "The conditions under which discrete-time nonlinear affine systems possess fading memory are explored. A sufficient condition is given based on discrete-time Lyapunov theory; whereas a necessary condition is provided based on the relationship between the stability and the continuity of this system.",

keywords = "Exponential stability, Fading memory, Lyapunov theory, Nonlinear system",

author = "Guoqiang Zang and Iglesias, {Pablo A.}",

year = "2004",

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AU - Zang, Guoqiang

AU - Iglesias, Pablo A.

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AB - The conditions under which discrete-time nonlinear affine systems possess fading memory are explored. A sufficient condition is given based on discrete-time Lyapunov theory; whereas a necessary condition is provided based on the relationship between the stability and the continuity of this system.

KW - Exponential stability

KW - Fading memory

KW - Lyapunov theory

KW - Nonlinear system

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SN - 0016-0032

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SP - 489

EP - 502

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 6-7

ER -

Fading memory and stability

Abstract

Keywords

ASJC Scopus subject areas

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