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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 258–262
DOI: https://doi.org/10.14498/vsgtu803 (Mi vsgtu803) 		 
Short Communication
Differential Equations

Observers for the Quasi-Linear Systems

Y. A. Shakhov

Dept. of Economics Systems Modeling, St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, St. Petersburg
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DOI: https://doi.org/10.14498/vsgtu803
Abstract: The problem of quasi-linear systems stabilization in the case of incomplete feedback is considered. While synthesising a stabilizing control, estimation of a current state vector is applied. To design this estimation, observers are constructed. The full-dimensions observer and the Luenberger’s observer are studied and sufficient conditions of its existence are obtained.
Keywords: quasi-linear system, stabilization, program control, incomplete feedback, full-dimensions observer, Luenberger’s observer.
Original article submitted 26/VI/2010
revision submitted – 12/X/2010
Bibliographic databases:
Document Type: Article
UDC: 517.977.1, 519.71
MSC: 34H15, 49N30, 93B07
Language: Russian
Citation: Y. A. Shakhov, “Observers for the Quasi-Linear Systems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 258–262
Citation in format AMSBIB
\Bibitem{Sha10}
\by Y.~A.~Shakhov
\paper Observers for the Quasi-Linear Systems
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 258--262
\mathnet{http://mi.mathnet.ru/vsgtu803}
\crossref{https://doi.org/10.14498/vsgtu803}
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