Finite-time input-to-state stability and applications to finite-time control

Yiguang Hong, Zhong Ping Jiang, Gang Feng

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

Abstract

This paper extends the well-known concept, input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), along with related concepts such as finite-time input-output stability and finite-time small-gain theorems, is discussed, and then is applied to both the finite-time stability analysis and the finite-time stabilizing feedback design. With finite-time convergence, non-smoothness has to be considered, which poses serious technical challenges in the analysis and synthesis of closed-loop finite-time systems. It is found that FTISS plays a key role in the study of finite-time stability and stabilization of nonlinear systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - Dec 1 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Other

Other17th World Congress, International Federation of Automatic Control, IFAC
CountryKorea, Republic of
CitySeoul
Period7/6/087/11/08

Keywords

  • Lyapunov methods
  • Nonlinear system control
  • Stability of NL systems

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Hong, Y., Jiang, Z. P., & Feng, G. (2008). Finite-time input-to-state stability and applications to finite-time control. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC (1 PART 1 ed.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.0718