Homogeneous feedback laws in dimension three

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

8 Scopus citations


Consideration is given to single-input systems on R 3 that are small-time locally controllable. The inherent symmetries of the standard nilpotent approximations to such systems are used to show how one may construct Holder continuous feedback laws that respect the symmetries and asymptotically stabilize the control system. An explicit example is worked in detail, and a necessary condition for the existence of such stabilizing feedback laws is obtained.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Number of pages6
StatePublished - 1989
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA
Duration: Dec 13 1989Dec 15 1989


OtherProceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3)
CityTampa, FL, USA

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality


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