Remarks on integral-ISS for systems with delays

Shanaz Tiwari, Yuan Wang, Zhong Ping Jiang

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

Abstract

The notion of integral input-to-state stability (integral-ISS) is now recognized as a central concept in nonlinear systems analysis. In this work, we explore the Razumikhin approach to the integral-ISS property for systems with delays. The main idea is to treat the delayed state variable as a disturbance input. The results in this work extend the previous results on the Razumikhin method in the contexts of asymptotic stability and ISS to the context of integral-ISS.

Original languageEnglish (US)
Title of host publicationWCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation
Pages2227-2232
Number of pages6
DOIs
StatePublished - 2012
Event10th World Congress on Intelligent Control and Automation, WCICA 2012 - Beijing, China
Duration: Jul 6 2012Jul 8 2012

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)

Other

Other10th World Congress on Intelligent Control and Automation, WCICA 2012
CountryChina
CityBeijing
Period7/6/127/8/12

Keywords

  • Lyapunov- Razumikhin method
  • integral-ISS
  • nonlinear systems with delays
  • robust stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications

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  • Cite this

    Tiwari, S., Wang, Y., & Jiang, Z. P. (2012). Remarks on integral-ISS for systems with delays. In WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation (pp. 2227-2232). [6358245] (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)). https://doi.org/10.1109/WCICA.2012.6358245