Optimization of linear differential systems by Lyapunov direct method

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F15%3APU114050" target="_blank" >RIV/00216305:26220/15:PU114050 - 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
Optimization of linear differential systems by Lyapunov direct method
Original language description
Two approaches to solving optimization problems of dynamic systems are well-known. The first approach needs to find a fixed control (program control) for which the system described by differential equations reaches a predetermined value and minimizes anintegral quality criterion. Proposed by L.S. Pontryagin, this method was in essence a further development of general optimization methods for dynamical systems. The second method consists in finding a control function (in the form of a feedback) guaranteeing that, simultaneously, the zero solution is asymptotically stable and an integral quality criterion attains a minimum value. This method is based on what is called the second Lyapunov method and its founder is N.N. Krasovskii. In the paper, the latter method is applied to linear differential equations and systems with integral quality criteria.
Czech name
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Czech description
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 21st Conference STUDENT EEICT 2015
ISBN
978-80-214-5148-3
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
511-515
Publisher name
Neuveden
Place of publication
Brno
Event location
Brno
Event date
Apr 23, 2015
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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