Stability in Terms of Two Measures for Nonlinear Impulsive Systems on Time Scales
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate some stability problems in terms of two measures for nonlinear dynamic systems on time scales with fixed moments of impulsive effects.
Sufficient conditions for (uniform) stability, (uniform) asymptotic stability, and instability in terms of two measures are derived by using the method of Lyapunov functions.
Our results include the existing results as special cases when the time scale reduces to the set of real numbers.
Particularly, our results provide stability criteria for impulsive discrete systems in terms of two measures, which have not been investigated extensively.
Two examples are presented to illustrate the efficiency of the proposed results.
American Psychological Association (APA)
Zhang, Kexue& Liu, Xinzhi. 2013. Stability in Terms of Two Measures for Nonlinear Impulsive Systems on Time Scales. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-462619
Modern Language Association (MLA)
Zhang, Kexue& Liu, Xinzhi. Stability in Terms of Two Measures for Nonlinear Impulsive Systems on Time Scales. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-462619
American Medical Association (AMA)
Zhang, Kexue& Liu, Xinzhi. Stability in Terms of Two Measures for Nonlinear Impulsive Systems on Time Scales. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-462619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462619
