Pth Moment Exponential Stability of Impulsive Stochastic Neural Networks with Mixed Delays
| Autor: | Jiezhong Zou, Enwen Zhu, Xiaoai Li |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Article Subject
Stochastic process General Mathematics lcsh:Mathematics General Engineering lcsh:QA1-939 Moment (mathematics) Nonlinear system Lyapunov functional Exponential stability Control theory lcsh:TA1-2040 Applied mathematics Stochastic neural network lcsh:Engineering (General). Civil engineering (General) Differential inequalities Mathematics Complement (set theory) |
| Zdroj: | Mathematical Problems in Engineering, Vol 2012 (2012) |
| ISSN: | 1563-5147 |
| Popis: | This paper investigates the problem ofpth moment exponential stability for a class of stochastic neural networks with time-varying delays and distributed delays under nonlinear impulsive perturbations. By means of Lyapunov functionals, stochastic analysis and differential inequality technique, criteria onpth moment exponential stability of this model are derived. The results of this paper are completely new and complement and improve some of the previously known results (Stamova and Ilarionov (2010), Zhang et al. (2005), Li (2010), Ahmed and Stamova (2008), Huang et al. (2008), Huang et al. (2008), and Stamova (2009)). An example is employed to illustrate our feasible results. |
| Databáze: | OpenAIRE |
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