Title :
Permanence and Stability for a Class of Population Equations with Feedback Control
Author :
Yang, Yang ; Cheng, Nannan ; Sun, Dehui
Author_Institution :
Coll. of Inf. Eng., North China Univ. of Technol., Beijing, China
Abstract :
A set of population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, sufficient conditions for the permanence, strictly positive (component wise), global asymptotic stability of the positive equilibrium point are obtained. Some new results are obtained.
Keywords :
Lyapunov methods; asymptotic stability; feedback; Lyapunov function; differential equation; feedback control; global asymptotic stability; positive equilibrium point; Asymptotic stability; Biological control systems; Biological system modeling; Cities and towns; Control systems; Differential equations; Educational institutions; Feedback control; Lyapunov method; Sufficient conditions; Lyapunov functional; feedback control; globally asymptotic stability; permanence;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.207
