DocumentCode :
839597
Title :
Controlled invariance for nonlinear systems
Author :
Nijmeijer, Henk ; Van der Schaft, Arjan
Author_Institution :
Mathematisch Centrum, Amsterdam, The Netherlands
Volume :
27
Issue :
4
fYear :
1982
fDate :
8/1/1982 12:00:00 AM
Firstpage :
904
Lastpage :
914
Abstract :
Necessary and sufficient conditions are derived for "( A, B )- invariance," called here controlled invariance, for nonlinear systems \\dot{x} = f(x, u) . The obtained results generalize and elucidate already known results about systems \\dot{x} = A(x) - \\sum \\min{i=1}\\max {m} =u_{i}B_{i}(x) . A new and direct differential geometric interpretation of the concept of controlled invariance and the derived conditions is given.
Keywords :
Nonlinear systems; Application specific integrated circuits; Control systems; Density estimation robust algorithm; Feedback; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Stability; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1103025
Filename :
1103025
Link To Document :
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