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Note on the persistent property of a feedback control system with delays

✍ Scribed by Fengde Chen; Jinghui Yang; Lijuan Chen

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
400 KB
Volume
11
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

✦ Synopsis

By developing some new analysis techniques, we show that the following feedback control system of differential equations with delays is permanent.

where Ο„ 1 , Ο„ 2 , a, b, c, r, k ∈ C (R, (0, +∞)) are Ο‰-periodic functions, which means that feedback control variable has no influence on the persistent property of the above system. Our result supplements the main result of Fan, Li and Qin [G.H. Fan, Y.K. Li, M.C. Qin, The existence of positive periodic solutions for periodic feedback control systems with delays, Zeitschrift fΓΌr Angewandt Mathematik und Mechanik 84 (6) (2004) 425-430].

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