DocumentCode
1403231
Title
Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
Author
Teel, Andrew R.
Author_Institution
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
Volume
43
Issue
7
fYear
1998
fDate
7/1/1998 12:00:00 AM
Firstpage
960
Lastpage
964
Abstract
A Razumikhin-type theorem that guarantees input-to-state stability for functional differential equations with disturbances is established using the nonlinear small-gain theorem. The result is used to show that input-to-state stabilizability for nonlinear finite-dimensional control systems is robust, in an appropriate sense, to small time delays at the input. Also, relaxed Razumikhin-type conditions guaranteeing global asymptotic stability for differential difference equations are given
Keywords
asymptotic stability; delay systems; differential equations; multidimensional systems; nonlinear control systems; Razumikhin-type theorems; asymptotic stability; delay systems; finite-dimensional systems; functional differential equations; input-to-state stability; nonlinear control systems; nonlinear small-gain theorem; Asymptotic stability; Control systems; Delay effects; Delay systems; Difference equations; Differential equations; Lyapunov method; Nonlinear control systems; Robust control; Typesetting;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.701099
Filename
701099
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