A combinatorial game approach to state nullification by hybrid feedback

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

4 Scopus citations

Abstract

We define a combinatorial game such that a winning strategy for it gives a logic-based feedback strategy that steers the state of single-input-single- output, discrete-time, time-varying, n-step controllable systems to the origin in a finite number of steps (where n is the dimension of the system). The feedback strategy is robust with respect to disturbances that satisfy a matching condition. A winning strategy for the game is given and a construction of a hybrid feedback strategy that uses it is displayed.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers
Pages4643-4647
Number of pages5
ISBN (Print)1424414989, 9781424414987
DOIs
StatePublished - 1 Jan 2007
Externally publishedYes
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0714/12/07

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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