This is a preview of subscription content, log in to check access.
N. N. Krasovskii, Some Problems of the Theory of Stability of Motions [in Russian], Gostekhizdat, Moscow (1959).
J. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York (1977).
Yu. M. Repin, “Quadratic Lyapunov functionals for systems with delay,” Prikl. Mat. Mekh.,24, No. 3, 564–572 (1965).
E. M. Markushin, “On the calculation of quadratic functionals for systems with time delays,” Differents. Uravn.,7, No. 2, 369–370 (1971).
D. G. Korenevskii and Yu. A. Mitropol'skii, “Towards an algebraic criterion of asymptotic stability with probability one of soluions of linear stochastic differential and difference Ito equations, that are not reduced to the Cauchy formula,” in: NumericalAnalytical Methods of Study of Dynamics and Stability of Multidimensional Systems [in Russian], Mathematics Institute of AN Ukr. SSR, Kiev (1985), pp. 152–170.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 3, pp. 382–387, March, 1989.
About this article
Cite this article
Khusainov, D.Y. A method of construction of Lyapunov-Krasovskii functionals for linear systems with deviating argument. Ukr Math J 41, 338–342 (1989). https://doi.org/10.1007/BF01060322
- Linear System