Stabilizability of bimodal piecewise linear systems with continuous vector field

Kanat Camlibel, Maurice Heemels, J.M. (Hans) Schumacher

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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 languageEnglish
Title of host publicationProceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06, Alghero, Sardinia, Italy, June 7-9, 2006)
PublisherIFAC
Pages290-295
Number of pages6
ISBN (Print)9783902661067
DOIs
Publication statusPublished - 1 Dec 2006
Event2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'06 - Alghero, Italy
Duration: 7 Jun 20069 Jun 2006

Conference

Conference2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'06
CountryItaly
CityAlghero
Period7/06/069/06/06

Keywords

  • Bimodal systems
  • Controllability
  • Piecewise linear systems
  • Stabilizability

Fingerprint Dive into the research topics of 'Stabilizability of bimodal piecewise linear systems with continuous vector field'. Together they form a unique fingerprint.

  • Cite this

    Camlibel, K., Heemels, M., & Schumacher, J. M. H. (2006). Stabilizability of bimodal piecewise linear systems with continuous vector field. In Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06, Alghero, Sardinia, Italy, June 7-9, 2006) (pp. 290-295). IFAC. https://doi.org/10.1016/B978-008044613-4.50054-9