Title :
Stability analysis of a class of nonlinear initial value problems and its application
Author :
Wan, An-Hua ; Wang, Ian-Sen ; Mao, Weihua ; Zhao, Chun
Author_Institution :
Fac. of Sci., Xi´´an Jiaotong Univ., China
Abstract :
Stability of a class of nonlinear initial value problems is investigated. We develop a novel method for stability analysis and propose the explicit conditions for the exponential stability of the zero equilibrium point. Our result extends the known results concerned with the stability of the initial value problems. As an application example, the stability of a population system of two age-structured interacting species is addressed.
Keywords :
asymptotic stability; initial value problems; exponential stability; nonlinear initial value problems; stability analysis; zero equilibrium point; Boundary value problems; Differential equations; Nonlinear equations; Stability analysis; Tellurium;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1380694
