Stability Analysis of Retarded Differential Inclusions
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-01
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Retarded differential inclusions have drawn more and more attention, due to the development of feedback control systems with delays and dynamical systems determined by retarded differential equations with a discontinuous right-hand side.
The purpose of this paper is to establish a result on the stability and asymptotical stability for retarded differential inclusions.
Comparing with the previous results, the main result obtained in this paper allows Lyapunov functions to be nonsmooth.
Moreover, to deal with the asymptotical stability, it is not required that Lyapunov functions should have an infinitesimal upper limit, but this condition is needed in most of the previous results.
To demonstrate applicability, we use the main result in the analysis of asymptotical stability of a class of neural networks with discontinuous activations and delays.
American Psychological Association (APA)
Wang, Jiafu& Zhang, Gui. 2014. Stability Analysis of Retarded Differential Inclusions. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-501734
Modern Language Association (MLA)
Wang, Jiafu& Zhang, Gui. Stability Analysis of Retarded Differential Inclusions. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-501734
American Medical Association (AMA)
Wang, Jiafu& Zhang, Gui. Stability Analysis of Retarded Differential Inclusions. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-501734
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501734