Converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations. (December 2015)
- Record Type:
- Journal Article
- Title:
- Converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations. (December 2015)
- Main Title:
- Converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations
- Authors:
- Haidar, Ihab
Mason, Paolo
Sigalotti, Mario - Abstract:
- Abstract: In this article we give a collection of converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations. We show that the existence of a weakly-degenerate Lyapunov–Krasovskii functional is a necessary and sufficient condition for the global exponential stability of linear retarded functional differential equations. This is carried out using a switched system representation approach.
- Is Part Of:
- Automatica. Volume 62(2015)
- Journal:
- Automatica
- Issue:
- Volume 62(2015)
- Issue Display:
- Volume 62, Issue 2015 (2015)
- Year:
- 2015
- Volume:
- 62
- Issue:
- 2015
- Issue Sort Value:
- 2015-0062-2015-0000
- Page Start:
- 263
- Page End:
- 273
- Publication Date:
- 2015-12
- Subjects:
- Time-delay system -- Switched systems -- Lyapunov–Krasovskii functional -- Converse Lyapunov theorems -- Exponential stability
Automatic control -- Periodicals
Automation -- Periodicals
629.805 - Journal URLs:
- http://www.sciencedirect.com/science/journal/00051098 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.automatica.2015.09.034 ↗
- Languages:
- English
- ISSNs:
- 0005-1098
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 1829.450000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 2751.xml