The Method of Lyapunov Function and Exponential Stability of Impulsive Delay Systems with Delayed Impulses
Joint Authors
Cheng, Pei
Wang, Lianglong
Deng, Feiqi
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper investigates the exponential stability of general impulsive delay systems with delayed impulses.
By using the Lyapunov function method, some Lyapunov-based sufficient conditions for exponential stability are derived, which are more convenient to be applied than those Razumikhin-type conditions in the literature.
Their applications to linear impulsive systems with time-varying delays are also proposed, and a set of sufficient conditions for exponential stability is provided in terms of matrix inequalities.
Meanwhile, two examples are discussed to illustrate the effectiveness and advantages of the results obtained.
American Psychological Association (APA)
Cheng, Pei& Deng, Feiqi& Wang, Lianglong. 2013. The Method of Lyapunov Function and Exponential Stability of Impulsive Delay Systems with Delayed Impulses. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009432
Modern Language Association (MLA)
Cheng, Pei…[et al.]. The Method of Lyapunov Function and Exponential Stability of Impulsive Delay Systems with Delayed Impulses. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1009432
American Medical Association (AMA)
Cheng, Pei& Deng, Feiqi& Wang, Lianglong. The Method of Lyapunov Function and Exponential Stability of Impulsive Delay Systems with Delayed Impulses. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009432
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009432