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Trudy Inst. Mat. i Mekh. UrO RAN, 2013, Volume 19, Number 4, Pages 95–106 (Mi timm1003)  

Computation of Lyapunov–Krasovskii quadratic functionals for linear autonomous systems with aftereffect

Yu. F. Dolgiiab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: A method of computing Lyapunov–Krasovskii quadratic functionals is proposed for linear autonomous systems with aftereffect. The finding of their representations is reduced to solving boundary value problems for functional differential equations. The cases of their equivalence to boundary value problems for systems of ordinary differential equations are considered.

Keywords: differential equations with aftereffect, stability, quadratic functionals.

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Bibliographic databases:
UDC: 517.929
Received: 10.02.2013

Citation: Yu. F. Dolgii, “Computation of Lyapunov–Krasovskii quadratic functionals for linear autonomous systems with aftereffect”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 95–106

Citation in format AMSBIB
\Bibitem{Dol13}
\by Yu.~F.~Dolgii
\paper Computation of Lyapunov--Krasovskii quadratic functionals for linear autonomous systems with aftereffect
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 4
\pages 95--106
\mathnet{http://mi.mathnet.ru/timm1003}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3364367}
\elib{https://elibrary.ru/item.asp?id=20640498}


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