Abstract
This chapter focuses on the open-loop stabilization problem for bimodal systems with continuous vector field. It is based on the earlier work of the authors on the controllability problem for the same class of systems. A full characterization of stabilizability is established by presenting algebraic necessary and sufficient conditions. It turns out that this system class inherits the relationship between controllability and stabilizability of linear systems. Controllability and stabilizability of a linear system are two basic concepts that were born in the early sixties. They have played a central role in various problems throughout the history of modern control theory. As such, these concepts have been studied extensively.
Original language | English |
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Title of host publication | Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06, Alghero, Sardinia, Italy, June 7-9, 2006) |
Publisher | IFAC |
Pages | 290-295 |
Number of pages | 6 |
ISBN (Print) | 9783902661067 |
DOIs | |
Publication status | Published - 1 Dec 2006 |
Event | 2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2006 - Alghero, Italy Duration: 7 Jun 2006 → 9 Jun 2006 Conference number: 2 |
Conference
Conference | 2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2006 |
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Abbreviated title | ADHS 2006 |
Country/Territory | Italy |
City | Alghero |
Period | 7/06/06 → 9/06/06 |
Keywords
- Bimodal systems
- Controllability
- Piecewise linear systems
- Stabilizability