Generalized Incremental Small Gain.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F06%3A%400000097" target="_blank" >RIV/46747885:24220/06:@0000097 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Generalized Incremental Small Gain.
Original language description
This paper is directed on a using of Banach fixed-point theorem in the problem of stabilization of nonlinear systems. The theory is developed in Banach spaces with using general operator theory and may be applied both for continuous and for discrete systems. All theorems are proved and may be separated into two classes, global and local contraction operator theorems. It is studied possibility of parameters changes and continuity changes. Moreover there are derived a precision of convergence and a rate of convergence. It is interesting, that although it is almost nothing presupposed about the structure of controlled system and controller, the fact, that the operator of closed loop is k-contractive, allows to prove relatively strong assertions.
Czech name
Zobecněné inkrementální zesílení
Czech description
V příspěvku jsou studovány možnosti využití Banachovy věty o pevném bodě v úlohách regulace především nelineárních systémů.

Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2006 IEEE International Conference on Computational Cybernetics
ISBN
1-4244-0071-6
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
241-244
Publisher name
IEEE Computational Intelligence Chapter Hungary, IEEE Industr. Electronics Society, Japan Soc. For Fuzzy Theory and Intelligent Informatics
Place of publication
Tallinn, Estonia
Event location
Tallinn
Event date
Aug 20, 2006
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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