Input-to-state stability of a class of descriptor systems

SUMMARYThis paper studies the input‐to‐state stability (ISS) of descriptor systems with exogenous disturbances. on the basis of the ISS theory of standard state‐space nonlinear systems, a sufficient condition for a class of nonlinear descriptor system to be ISS is proved. Furthermore, a design metho...

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Published inInternational journal of robust and nonlinear control Vol. 24; no. 1; pp. 97 - 109
Main Authors Zhou, Juan, Zhang, Qingling, Men, Bo, Huang, Shoudong
Format Journal Article
LanguageEnglish
Published Bognor Regis Blackwell Publishing Ltd 10.01.2014
Wiley Subscription Services, Inc
Subjects
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input-to-state stability
linear matrix inequality (LMI)
nonlinear descriptor systems
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Summary:SUMMARYThis paper studies the input‐to‐state stability (ISS) of descriptor systems with exogenous disturbances. on the basis of the ISS theory of standard state‐space nonlinear systems, a sufficient condition for a class of nonlinear descriptor system to be ISS is proved. Furthermore, a design method of the state feedback controllers is given to make the closed‐loop system ISS. A numerical example is given to illustrate the effectiveness of the controller design.Copyright © 2012 John Wiley & Sons, Ltd.
Bibliography:Nature Science of Foundation of Liaoning Province - No. 201202063
ark:/67375/WNG-VT1FTZ6B-X
Natural Science Foundation of China - No. 60974004
istex:739FC6E5ED1F1E3C63B7FA17D7F2D9F32F3DCE9E
ArticleID:RNC2876
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.2876