Feedback Control in a Periodic Delay Single-Species Difference System
Author(s) -
Yi Yang,
Zhijun Liu
Publication year - 2011
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2011/872738
Subject(s) - feedback control , control theory (sociology) , lyapunov function , control (management) , mathematics , function (biology) , computer science , control engineering , artificial intelligence , nonlinear system , physics , quantum mechanics , evolutionary biology , engineering , biology
A periodic delay single-species difference system withfeedback control is established. With the help of analysis method and Lyapunovfunction, a good understanding of the permanence and global attractivity of thesystem is gained. Numerical simulations are presented to verify the validity of theproposed criteria. Our results show that feedback control has no influence on thepermanence while it has influence on the global attractivity of the system
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