Exponential Stability of Stochastic Nonlinear Dynamical Price System with Delay
Joint Authors
Zhu, Wenli
Qin, Ye
Zhuang, Jie
Ruan, Xinfeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on Lyapunov stability theory, Itô formula, stochastic analysis, and matrix theory, we study the exponential stability of the stochastic nonlinear dynamical price system.
Using Taylor's theorem, the stochastic nonlinear system with delay is reduced to an n-dimensional semilinear stochastic differential equation with delay.
Some sufficient conditions of exponential stability and corollaries for such price system are established by virtue of Lyapunov function.
The time delay upper limit is solved by using our theoretical results when the system is exponentially stable.
Our theoretical results show that if the classical price Rayleigh equation is exponentially stable, so is its perturbed system with delay provided that both the time delay and the intensity of perturbations are small enough.
Two examples are presented to illustrate our results.
American Psychological Association (APA)
Zhu, Wenli& Ruan, Xinfeng& Qin, Ye& Zhuang, Jie. 2013. Exponential Stability of Stochastic Nonlinear Dynamical Price System with Delay. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031709
Modern Language Association (MLA)
Zhu, Wenli…[et al.]. Exponential Stability of Stochastic Nonlinear Dynamical Price System with Delay. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1031709
American Medical Association (AMA)
Zhu, Wenli& Ruan, Xinfeng& Qin, Ye& Zhuang, Jie. Exponential Stability of Stochastic Nonlinear Dynamical Price System with Delay. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031709
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031709