Stochastically Globally Exponential Stability of Stochastic Impulsive Differential Systems with Discrete and Infinite Distributed Delays Based on Vector Lyapunov Function
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-01
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper deals with stochastically globally exponential stability (SGES) for stochastic impulsive differential systems (SIDSs) with discrete delays (DDs) and infinite distributed delays (IDDs).
By using vector Lyapunov function (VLF) and average dwell-time (ADT) condition, we investigate the unstable impulsive dynamics and stable impulsive dynamics of the suggested system, and some novel stability criteria are obtained for SIDSs with DDs and IDDs.
Moreover, our results allow the discrete delay term to be coupled with the nondelay term, and the infinite distributed delay term to be coupled with the nondelay term.
Finally, two examples are given to verify the effectiveness of our theories.
American Psychological Association (APA)
Liu, Xiaoyan& Zhu, Quanxin. 2020. Stochastically Globally Exponential Stability of Stochastic Impulsive Differential Systems with Discrete and Infinite Distributed Delays Based on Vector Lyapunov Function. Complexity،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1143971
Modern Language Association (MLA)
Liu, Xiaoyan& Zhu, Quanxin. Stochastically Globally Exponential Stability of Stochastic Impulsive Differential Systems with Discrete and Infinite Distributed Delays Based on Vector Lyapunov Function. Complexity No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1143971
American Medical Association (AMA)
Liu, Xiaoyan& Zhu, Quanxin. Stochastically Globally Exponential Stability of Stochastic Impulsive Differential Systems with Discrete and Infinite Distributed Delays Based on Vector Lyapunov Function. Complexity. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1143971
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143971