DocumentCode :
882953
Title :
On the existence and uniqueness of solutions in adaptive control systems
Author :
Polycarpou, Marios M. ; Ioannou, Petor A.
Volume :
38
Issue :
3
fYear :
1993
fDate :
3/1/1993 12:00:00 AM
Firstpage :
474
Lastpage :
479
Abstract :
The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. Sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes are given. The concept of Filippov´s solution is introduced as a method of dealing with discontinuous adaptive systems
Keywords :
adaptive control; control system analysis; differential equations; Filippov´s solution; adaptive control systems; control system analysis; differential equations; discontinuous systems; existence; sufficient conditions; uniqueness; Adaptive control; Adaptive systems; Control system analysis; Differential equations; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.210149
Filename :
210149
Link To Document :
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