RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS

RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS

In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic ftmctional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to impulsive...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of systems science and systems engineering 2010-03, Vol.19 (1), p.72-84
Hauptverfasser: Cheng, Pei, Deng, Feiqi, Dai, Xisheng
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Complexity
Economic Theory/Quantitative Economics/Mathematical Methods
Engineering
Liapunov functions
Lyapunov函数
Operations Research/Decision Theory
Stability
System effectiveness
Theorems
渐近稳定性
脉冲微分系统
随机时滞系统
随机泛函
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic ftmctional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to impulsive stochastic delay systems are proposed. An illustrative example shows the effectiveness of our results.
ISSN:1004-3756
1861-9576
DOI:10.1007/s11518-010-5126-x