DocumentCode
2012420
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
fYear
2007
fDate
May 30 2007-June 1 2007
Firstpage
3119
Lastpage
3121
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICCA.2007.4376936
Filename
4376936
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