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author:

Chen, Fengde (Chen, Fengde.) [1] | Liao, Xinyuan (Liao, Xinyuan.) [2] | Huang, Zhenkun (Huang, Zhenkun.) [3]

Indexed by:

EI

Abstract:

In this paper, we consider a N-species cooperation system with continuous time delays and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain sufficient conditions which guarantee the permanence and the global attractivity of the system. For the periodic case, we obtain sufficient conditions which guarantee the existence, uniqueness and stability of a positive periodic solution. For the almost periodic case, by using the Razumikhin type theorem, we obtain the sufficient conditions which guarantee the existence of a positive almost periodic solution of the system. © 2006 Elsevier Inc. All rights reserved.

Keyword:

Delay control systems Feedback control Function evaluation Lyapunov methods Systems analysis Theorem proving

Community:

  • [ 1 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 2 ] [Liao, Xinyuan]School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, China
  • [ 3 ] [Liao, Xinyuan]Department of Mathematics, Shanghai University, Shanghai, 200444, China
  • [ 4 ] [Huang, Zhenkun]School of Sciences, Jimei University, Xiamen, Fujian 361021, China

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Source :

Applied Mathematics and Computation (New York)

ISSN: 0096-3003

Year: 2006

Issue: 2

Volume: 181

Page: 803-815

0 . 8 1 6

JCR@2006

3 . 5 0 0

JCR@2023

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 33

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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