Improved results of changing supply functions and the applications to nonlinear systems in cascade

Hao Yu, Fei Hao

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

This paper addresses the problem of changing supply functions in nonlinear systems. A dissipation inequality for the derivative of a storage function is introduced to describe the behavior of the systems. The dissipation inequality is allowed to hold only in a compact set and/or with some bounded functions. Then the results on modifying the involved functions are provided. Moreover, the obtained results are applied to the cascaded integral input-to-state stable systems. It is showed that, by some proper assumptions on the functions of dissipation inequality, the integral input-to-state stability of the cascaded systems could be inherited from the property of each subsystem.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages958-963
Number of pages6
ISBN (Electronic)9781538612439
DOIs
Publication statusPublished - 6 Jul 2018
Externally publishedYes
Event30th Chinese Control and Decision Conference, CCDC 2018 - Shenyang, China
Duration: 9 Jun 201811 Jun 2018

Publication series

NameProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018

Conference

Conference30th Chinese Control and Decision Conference, CCDC 2018
Country/TerritoryChina
CityShenyang
Period9/06/1811/06/18

Keywords

  • Nonlinear systems
  • cascaded systems
  • integral input-to-state stability
  • supply pair

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