Global converse Lyapunov theorems for infinite-dimensional systems. Issue 18 (2016)
- Record Type:
- Journal Article
- Title:
- Global converse Lyapunov theorems for infinite-dimensional systems. Issue 18 (2016)
- Main Title:
- Global converse Lyapunov theorems for infinite-dimensional systems
- Authors:
- Mironchenko, Andrii
Wirth, Fabian - Abstract:
- Abstract: We show that existence of a non-coercive Lyapunov function is sufficient for uniform global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbances provided an additional mild assumption is fulfilled. For UGAS infinite-dimensional systems with external disturbances we derive a novel 'integral' construction of non-coercive Lipschitz continuous Lyapunov functions. Finally, converse Lyapunov theorems are used in order to prove Lyapunov characterizations of input-to-state stability of infinite-dimensional systems.
- Is Part Of:
- IFAC-PapersOnLine. Volume 49:Issue 18(2016)
- Journal:
- IFAC-PapersOnLine
- Issue:
- Volume 49:Issue 18(2016)
- Issue Display:
- Volume 49, Issue 18 (2016)
- Year:
- 2016
- Volume:
- 49
- Issue:
- 18
- Issue Sort Value:
- 2016-0049-0018-0000
- Page Start:
- 897
- Page End:
- 902
- Publication Date:
- 2016
- Subjects:
- nonlinear control systems -- infinite-dimensional systems -- input-to-state stability -- Lyapunov methods
Automatic control -- Periodicals
629.805 - Journal URLs:
- https://www.journals.elsevier.com/ifac-papersonline/ ↗
http://www.sciencedirect.com/ ↗ - DOI:
- 10.1016/j.ifacol.2016.10.280 ↗
- Languages:
- English
- ISSNs:
- 2405-8963
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 1592.xml