On controllability and stabilizability of some bimodal LTI systems

J. Bokor, Z. Szabó, Gary Balas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper investigates controllability of a class of bimodal linear time invariant (LTI) systems pointing to the relevant structures of the problem. It is shown that for a certain class controllability is equivalent with controllability of an open-loop switching system using nonnegative controls, i.e., to the controllability of a constrained open-loop switching system. The paper gives some algebraic conditions that guarantees global controllability for this class of systems. It is shown that if the system is globally controllable then the number of necessary switchings to control the system is bounded. It is also shown that global controllability implies stabilizability for this class of systems.

Original languageEnglish
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3289-3294
Number of pages6
ISBN (Print)9783952417386
Publication statusPublished - Mar 25 2015
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: Jul 2 2007Jul 5 2007

Other

Other2007 9th European Control Conference, ECC 2007
CountryGreece
CityKos
Period7/2/077/5/07

Fingerprint

Controllability
Switching systems

Keywords

  • bang-bang control
  • bimodal systems
  • controllability
  • stabilizability

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Bokor, J., Szabó, Z., & Balas, G. (2015). On controllability and stabilizability of some bimodal LTI systems. In 2007 European Control Conference, ECC 2007 (pp. 3289-3294). [7068329] Institute of Electrical and Electronics Engineers Inc..

On controllability and stabilizability of some bimodal LTI systems. / Bokor, J.; Szabó, Z.; Balas, Gary.

2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2015. p. 3289-3294 7068329.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bokor, J, Szabó, Z & Balas, G 2015, On controllability and stabilizability of some bimodal LTI systems. in 2007 European Control Conference, ECC 2007., 7068329, Institute of Electrical and Electronics Engineers Inc., pp. 3289-3294, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 7/2/07.
Bokor J, Szabó Z, Balas G. On controllability and stabilizability of some bimodal LTI systems. In 2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc. 2015. p. 3289-3294. 7068329
Bokor, J. ; Szabó, Z. ; Balas, Gary. / On controllability and stabilizability of some bimodal LTI systems. 2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 3289-3294
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