Vector control Lyapunov functions as a tool for decentralized and distributed control

Iasson Karafyllis, Zhong Ping Jiang

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

Abstract

This paper presents a novel tool based on vector control Lyapunov functions for complex nonlinear control systems. It is shown that the existence of a vector control Lyapunov function is a necessary and sufficient condition for the existence of a smooth globally stabilizing feedback. This main result is then applied to the problem of designing globally stabilizing feedback laws for nonlinear systems. Practically checkable sufficient conditions are proposed to guarantee the existence of a smooth globally stabilizing feedback law.

Original languageEnglish (US)
Title of host publication2013 9th Asian Control Conference, ASCC 2013
DOIs
StatePublished - Oct 31 2013
Event2013 9th Asian Control Conference, ASCC 2013 - Istanbul, Turkey
Duration: Jun 23 2013Jun 26 2013

Publication series

Name2013 9th Asian Control Conference, ASCC 2013

Other

Other2013 9th Asian Control Conference, ASCC 2013
CountryTurkey
CityIstanbul
Period6/23/136/26/13

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Karafyllis, I., & Jiang, Z. P. (2013). Vector control Lyapunov functions as a tool for decentralized and distributed control. In 2013 9th Asian Control Conference, ASCC 2013 [6606069] (2013 9th Asian Control Conference, ASCC 2013). https://doi.org/10.1109/ASCC.2013.6606069