A novel approach to stability analysis of multivariable Lur'e systems

Chun Mo Lee, Jyh Ching Juang

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

4 Citations (Scopus)

Abstract

A new approach via the real structured singular value analysis is proposed to test for the absolute stability of multivariable Lur'e systems. The approach presented in this paper holds for any sector-bounded, slope-restricted or secant-restricted nonlinearities commonly encountered in Lur'e systems. In addition, not only does it yield sharp stability bound, but also it removes some essential assumptions made in other existing results. Moreover, our algorithm can be easily and systematically extended to some more involved configurations, such as a Lur'e type system involved in two or more nonlinearities in different locations, or a multilayer recurrent neural network.

Original languageEnglish
Title of host publicationIEEE International Conference on Mechatronics and Automation, ICMA 2005
Pages199-203
Number of pages5
Publication statusPublished - 2005
EventIEEE International Conference on Mechatronics and Automation, ICMA 2005 - Niagara Falls, ON, Canada
Duration: 2005 Jul 292005 Aug 1

Publication series

NameIEEE International Conference on Mechatronics and Automation, ICMA 2005

Other

OtherIEEE International Conference on Mechatronics and Automation, ICMA 2005
Country/TerritoryCanada
CityNiagara Falls, ON
Period05-07-2905-08-01

All Science Journal Classification (ASJC) codes

  • General Engineering

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