Abstract
In 2001 and following years Rantzer introduced a new stability characterization [1, 2, 3]. It is dual to Lyapunov stability. It is very elegant with many interesting particle-flow interpretations and it has the striking feature that it can be used for systems with multiple equilibrium points (or sets). In this talk we will interpret Rantzer’s main theorem and re-address the inverse problem (already solved [2, 3]). The inverse problem — well studied for Lyapunov functions — is about the fundamental property that a system is stable (in some sense) only if a Lyapunov function exists, or in the present context, only if a Rantzer density function exists.
| Original language | English |
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| Title of host publication | 25th Benelux Meeting on Systems and Control, March 13 – 15, 2006, Heeze, The Netherlands |
| Subtitle of host publication | Book of Abstracts |
| Editors | Bram de Jager, Gjerrit Meinsma |
| Publisher | Technische Universiteit Eindhoven |
| Pages | 50-50 |
| ISBN (Print) | 978-90-386-2558-4 |
| Publication status | Published - 13 Mar 2006 |
| Event | 25th Benelux Meeting on Systems and Control 2006 - Heeze, Belgium Duration: 13 Mar 2006 → 15 Mar 2006 Conference number: 25 |
Conference
| Conference | 25th Benelux Meeting on Systems and Control 2006 |
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| Country/Territory | Belgium |
| City | Heeze |
| Period | 13/03/06 → 15/03/06 |