Finite-time input-to-state stability and related lyapunov analysis

Hong Yiguang, Zhong-Ping Jiang, Feng Gang

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

Abstract

Due to the need in studying finite-time control problems, this paper extends the well-known concept, input-to-state stability (ISS). A new concept, called finite-time input-to-state stability (finite-time ISS), is proposed and is applied to the finite-time stability analysis of some nonlinear systems and the design of finite-time stabilizing feedback laws. In addressing finite-time stability and control, nonsmoothness occurs in system nonlinearities and controller functions, and poses a serious technical difficulty. It is found that finite-time ISS plays an important role in nonsmooth control, in the same way as the conventional ISS in the asymptotic stability analysis and stabilization.

Original languageEnglish (US)
Title of host publicationProceedings of the 26th Chinese Control Conference, CCC 2007
Pages652-656
Number of pages5
DOIs
StatePublished - 2007
Event26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China
Duration: Jul 26 2007Jul 31 2007

Other

Other26th Chinese Control Conference, CCC 2007
CountryChina
CityZhangjiajie
Period7/26/077/31/07

Fingerprint

Finite-time Stability
Lyapunov
Stability Analysis
Feedback Law
Asymptotic Analysis
Asymptotic Stability
Control Problem
Stabilization
Control nonlinearities
Nonlinear Systems
Nonlinearity
Asymptotic stability
Controller
Nonlinear systems
Feedback
Controllers
Concepts

Keywords

  • Finite-time control
  • Input-to-state stability (ISS)
  • Lyapunov function
  • Non-smooth dynamics

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Yiguang, H., Jiang, Z-P., & Gang, F. (2007). Finite-time input-to-state stability and related lyapunov analysis. In Proceedings of the 26th Chinese Control Conference, CCC 2007 (pp. 652-656). [4347311] https://doi.org/10.1109/CHICC.2006.4347311

Finite-time input-to-state stability and related lyapunov analysis. / Yiguang, Hong; Jiang, Zhong-Ping; Gang, Feng.

Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 652-656 4347311.

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

Yiguang, H, Jiang, Z-P & Gang, F 2007, Finite-time input-to-state stability and related lyapunov analysis. in Proceedings of the 26th Chinese Control Conference, CCC 2007., 4347311, pp. 652-656, 26th Chinese Control Conference, CCC 2007, Zhangjiajie, China, 7/26/07. https://doi.org/10.1109/CHICC.2006.4347311
Yiguang H, Jiang Z-P, Gang F. Finite-time input-to-state stability and related lyapunov analysis. In Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 652-656. 4347311 https://doi.org/10.1109/CHICC.2006.4347311
Yiguang, Hong ; Jiang, Zhong-Ping ; Gang, Feng. / Finite-time input-to-state stability and related lyapunov analysis. Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. pp. 652-656
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