Title :
Novel Stability Criteria of A Lotka-Volterra System with Time-varying Delays
Author :
Xiong, Wenjun ; Jian, Jigui ; Cao, Jinde
Author_Institution :
Three Gorges Univ., Yichang
fDate :
May 30 2007-June 1 2007
Abstract :
This paper deals with a Lotka-Volterra time-varying delays. By using a transformational approach, we change the nonlinear Lotka-Volterra system into a linear model. Then, we present some new and simple conditions to guarantee the globally exponential stability of the positive solution of the linear model. Finally, an illustrated example is given to demonstrate the effectiveness of our results.
Keywords :
Volterra equations; asymptotic stability; delays; graph theory; time-varying systems; exponential stability; linear model; nonlinear Lotka-Volterra system; stability criteria; time-varying delays; transformational approach; Automatic control; Automation; Control systems; Delay systems; Educational institutions; Equations; Mathematics; Nonlinear systems; Stability criteria; Time varying systems;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0818-4
Electronic_ISBN :
978-1-4244-0818-4
DOI :
10.1109/ICCA.2007.4376936
