Stability of stochastic functional differential equations with impulses

Stability of stochastic functional differential equations with impulses

The paper studies the stability of impulsive stochastic functional differential equations. At first, we obtained a new generalization of the Halanay inequality. Then, by applying the generalized Halanay inequality, the exponential stability results of impulsive stochastic functional differential equ...

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Veröffentlicht in:Applied mathematics letters 2023-11, Vol.145, p.108735, Article 108735
Hauptverfasser: Kuang, Hongyu, Li, Jianli
Format: Artikel
Sprache:eng
Schlagworte:
Halanay inequality
Impulsive stochastic system
Stability
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Zusammenfassung:The paper studies the stability of impulsive stochastic functional differential equations. At first, we obtained a new generalization of the Halanay inequality. Then, by applying the generalized Halanay inequality, the exponential stability results of impulsive stochastic functional differential equations are obtained.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2023.108735