Title :
Asymptotic behavior of delay 2-D discrete logistic systems
Author :
Liu, Shu Tang ; Chen, Guanrong
Author_Institution :
Dept. of Autom. Control Eng., South China Univ. of Technol., Guangzhou, China
fDate :
11/1/2002 12:00:00 AM
Abstract :
Asymptotic behavior of all solutions of the delay two-dimensional logistic system xm+1, n+axm, n+1=μmnxmn (1-xm-σ, n-τ) is investigated. Some sufficient conditions for the stability of this equation are derived. Moreover, some sufficient and necessary conditions for oscillations of all solutions of this equation are obtained.
Keywords :
asymptotic stability; delay systems; discrete systems; multidimensional systems; asymptotic behavior; delay 2-D system; discrete logistic systems; oscillations; stability; Councils; Delay systems; Digital filters; Filtering; Focusing; Logistics; Partial differential equations; Stability; Sufficient conditions; Two dimensional displays;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.804600
