Semistability of Nonlinear Impulsive Systems with Delays
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the stability analysis and semistability theorems for delay impulsive systems having a continuum of equilibria.
We relate stability and semistability tothe classical concepts of system storage functions to impulsive systems providing a generalized hybrid system energy interpretation in terms of storage energy.
We show a set of Lyapunov-based sufficient conditions for establishing these stability properties.
These make it possible to deduce properties of the Lyapunov functional and thus lead to sufficient conditions for stability and semistability.
Our proposed results are evaluated using an illustrative example to show their effectiveness.
American Psychological Association (APA)
Mu, Xiaowu& Gao, Yongliang. 2012. Semistability of Nonlinear Impulsive Systems with Delays. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1029515
Modern Language Association (MLA)
Mu, Xiaowu& Gao, Yongliang. Semistability of Nonlinear Impulsive Systems with Delays. Mathematical Problems in Engineering No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-1029515
American Medical Association (AMA)
Mu, Xiaowu& Gao, Yongliang. Semistability of Nonlinear Impulsive Systems with Delays. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1029515
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029515