Stability of a time discrete perturbed dynamical system with delay

MI Gil; SS Cheng

doi:10.1155/S1026022699000084

Stability of a time discrete perturbed dynamical system with delay

MI Gil
, SS Cheng

Department of Mathematics

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

5 Citations (Web of Science)

Abstract

Let Cⁿ be the set of n complex vectors endowed with a norm . Let A, B be two complex n × n matrices and τ a positive integer. In the present paper we consider the nonlinear difference equation with delay of the type

( )

, where F_k : Cⁿ × Cⁿ → Cⁿ satisfies the condition

( )

, where p and q are positive constants. In this paper, absolute stability conditions for this equation are established.

Original language	English
Pages (from-to)	57-63
Journal	Discrete Dynamics in Nature and Society
Volume	3
Issue number	1
DOIs	https://doi.org/10.1155/S1026022699000084
State	Published - Jan 1999

Keywords

nonlinear discrete system with delay
absolute l(2)-stability
norm estimate

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title = "Stability of a time discrete perturbed dynamical system with delay",

abstract = "Let Cn be the set of n complex vectors endowed with a norm . Let A, B be two complex n {\texttimes} n matrices and τ a positive integer. In the present paper we consider the nonlinear difference equation with delay of the type ( ) , where Fk : Cn {\texttimes} Cn → Cn satisfies the condition ( ) , where p and q are positive constants. In this paper, absolute stability conditions for this equation are established.",

keywords = "nonlinear discrete system with delay, absolute l(2)-stability, norm estimate",

author = "MI Gil and SS Cheng",

year = "1999",

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AU - Gil, MI

AU - Cheng, SS

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N2 - Let Cn be the set of n complex vectors endowed with a norm . Let A, B be two complex n × n matrices and τ a positive integer. In the present paper we consider the nonlinear difference equation with delay of the type ( ) , where Fk : Cn × Cn → Cn satisfies the condition ( ) , where p and q are positive constants. In this paper, absolute stability conditions for this equation are established.

AB - Let Cn be the set of n complex vectors endowed with a norm . Let A, B be two complex n × n matrices and τ a positive integer. In the present paper we consider the nonlinear difference equation with delay of the type ( ) , where Fk : Cn × Cn → Cn satisfies the condition ( ) , where p and q are positive constants. In this paper, absolute stability conditions for this equation are established.

KW - nonlinear discrete system with delay

KW - absolute l(2)-stability

KW - norm estimate

U2 - 10.1155/S1026022699000084

DO - 10.1155/S1026022699000084

M3 - Article

SN - 1026-0226

VL - 3

SP - 57

EP - 63

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

IS - 1

ER -

Stability of a time discrete perturbed dynamical system with delay

Abstract

Keywords

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