Cover Image

The existence of Lyapunov–Krasovskii functionals for stochastic differential-functional Ito–Skorokhod equations under the condition of the solutions stability on probability with finite aftereffect

Saved in:

Bibliographic Details
Date:	2018
Main Authors:	I. V. Jurchenko, V. K. Jasinskij
Format:	Article
Language:	English
Published:	2018
Series:	Cybernetics and Systems Analysis
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0000926959
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

On existence and stabization of the strong solution of the autonomous stochastic partial differential Ito–Skorokhod equation with random parameters
by: V. K. Yasynskyy, et al.
Published: (2018)

Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions
by: Stanzhitskii, A. N., et al.
Published: (2001)

Stability with probability I for solutions of linear stochastic differential-difference Ito’s equations
by: Zelentsovsky , A. L., et al.
Published: (2025)

Stability in mean squares of stochastic dynamic systems of random structure of Ito-Skorokhod with external markovskim switching
by: A. M. Kalyniuk, et al.
Published: (2013)

On the existence of Lyapunov functions in problems of stability of integral sets
by: Ignat'ev, A. O., et al.
Published: (1993)

Optimal control in diffusion stochastic nonlinear functional-differential Ito equations with Markov parameters and external markovian switching
by: V. K. Jasinskij, et al.
Published: (2016)

The functional law of iterated logarithm for Ito stochastic integrals
by: A. V. Logachjov
Published: (2014)

On the stochastic stability of nonlinear systems with Ito zahayuvannyamy
by: A. M. Kalyniuk, et al.
Published: (2014)

On Stability of Motion of Polynomial Systems with Aftereffect
by: A. A. Martyniuk, et al.
Published: (2022)

About the Problem of Stabilization of Control Stochastic Differential-Functional Systems with Finite Delay
by: V. I. Musurivskyi
Published: (2019)

Concerning existence of the Lyapunov sign-variable functions for linear systems of differential equations
by: Samoilenko , A. M., et al.
Published: (1992)

Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations
by: Dzhalladova, I. A., et al.
Published: (2002)

Convergence in Skorokhod J-topology for compositions of stochastic processes
by: Silvestrov, D.S.
Published: (2008)

On the existence of a lyapunov function as a quadratic form for impulsive systems of linear differential equations
by: Ignat'ev, A. O., et al.
Published: (2010)

On Skorokhod differentiable measures
by: V. I. Bogachev
Published: (2020)

On Skorokhod differentiable measures
by: Bogachev, V. I., et al.
Published: (2020)

Qualitative Analysis of Systems of Itô Stochastic Differential Equations
by: Kulinich, G. L., et al.
Published: (2000)

On Stability in Models of Mathematical Epidemiology Based on Lyapunov-Volterra Function
by: O. M. Kuchvara
Published: (2014)

Quantization of Lyapunov functions
by: Sharko, Yu. V., et al.
Published: (2010)

On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov’s second method
by: Vasilina, G. K., et al.
Published: (2016)

Stochastic integral of Hitsuda–Skorokhod type on the extended Fock space
by: Kachanovskii, N. A., et al.
Published: (2009)

On the stability with probability one for a class of stochastic semigroups
by: Chani, A.C.
Published: (2005)

Stability, unevenly with delay, one of weak linear system with an aftereffect
by: Ja. Khusainov, et al.
Published: (2015)

On Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002)

Aftereffect in the Cobweb Model
by: A. V. Voronin, et al.
Published: (2015)

Stability after the first approaching of solutions of Ito-Schorohod&#039;s stochastic differential equations in Hilbert spaces
by: A. V. Nikitin, et al.
Published: (2013)

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function
by: Sun, J.F., et al.
Published: (2013)

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function
by: Zh. F. San, et al.
Published: (2013)

On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov&#039;s second method
by: G. K. Vasilina, et al.
Published: (2016)

On motion stability, with respect to two measures, of a system with an aftereffect and impulsive perturbations
by: A. A. Martynjuk
Published: (2013)

Asymptotic equivalence of solutions of linear Itô stochastic systems
by: Krenevych, A. P., et al.
Published: (2006)

The existence almost certainly strong solution of nonlinear stochastic functional differential equations with random perturbations
by: V. K. Yasynskyi, et al.
Published: (2016)

Lyapunov transformation and stability of differential equations in Banach spaces
by: Tran Thi Loan
Published: (1999)

Lyapunov transformation and stability of differential equations in banach spaces
by: Tran, Thi Loan, et al.
Published: (1999)

Stability of stochastic systems of random structure with markov switchings and perturbations
by: T. O. Lukashiv, et al.
Published: (2017)

Anatolii Volodymyrovych Skorokhod
by: Korolyuk, V. S., et al.
Published: (2011)

On an estimate of the domain of attraction for systems with aftereffect
by: Prasolov, А. V., et al.
Published: (1998)

Probability Space of Stochastic Fractals
by: Virchenko, Yu. P., et al.
Published: (2004)

Lyapunov functions in the global analysis of chaotic systems
by: G. A. Leonov
Published: (2018)

Construction of pursuit strategies with using Lyapunov functions
by: S. V. Pashko
Published: (2017)