Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Instituta Matematiki i Mekhaniki 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
Full-text PDF (191 kB)
References:
PDF
HTML
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.
Received: 10.02.2013
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
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://mathscinet.ams.org/mathscinet-getitem?mr=3364367}
\elib{https://elibrary.ru/item.asp?id=20640498}
Linking options:
  • https://www.mathnet.ru/eng/timm1003
  • https://www.mathnet.ru/eng/timm/v19/i4/p95
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:402
    Full-text PDF :72
    References:77
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024