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
Volume17
Edition1 PART 1
DOIs
StatePublished - 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Other

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

Fingerprint

Nonlinear systems
Stabilization
Feedback

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

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., Vol. 17) https://doi.org/10.3182/20080706-5-KR-1001.0718

Finite-time input-to-state stability and applications to finite-time control. / Hong, Yiguang; Jiang, Zhong-Ping; Feng, Gang.

Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. Vol. 17 1 PART 1. ed. 2008.

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

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 edn, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 7/6/08. https://doi.org/10.3182/20080706-5-KR-1001.0718
Hong Y, Jiang Z-P, Feng G. 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. Vol. 17. 2008 https://doi.org/10.3182/20080706-5-KR-1001.0718
Hong, Yiguang ; Jiang, Zhong-Ping ; Feng, Gang. / Finite-time input-to-state stability and applications to finite-time control. Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. Vol. 17 1 PART 1. ed. 2008.
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