Cover Image

Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay

We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the s...

Full description

Saved in:

Bibliographic Details
Date:	1998
Main Authors:	Kaiser, C., Korenevsky, D. G., Кайзер, К., Кореневский, Д. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4921
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Criteria of the mean-square asymptotic stability of solutions of systems of linear stochastic difference equations with continuous time and delay
by: Korenevsky, D. G., et al.
Published: (1998)

Algebraic criterion of absolute (by nonlinearity) stability of stochastic systems of automatic control with a nonlinear feedback
by: Korenevsky , D. G., et al.
Published: (1988)

On excitation of oscillations in nonlinear systems with random delay
by: Kolomiets, V. G., et al.
Published: (1966)

Relationship between spectral and coefficient criteria of mean-square stability for systems of linear stochastic differential and difference equations
by: Korenevsky, D. G., et al.
Published: (2000)

On the Impossibility of Stabilization of Solutions of a System of Linear Deterministic Difference Equations by Perturbations of Its Coefficients by Stochastic Processes of “White-Noise” Type
by: Korenevsky, D. G., et al.
Published: (2002)

Absolute asymptotic stability of solutions of linear parabolic differential equations with delay
by: Kushnir, V. P., et al.
Published: (2007)

On the averaging principle for hyperbolic second order equations with a functionally disturbed argument
by: Korenevsky, D. G., et al.
Published: (1971)

On the asymptotic stability of solutions of nonlinear delay differential equations
by: C. Tunз, et al.
Published: (2020)

Asymptotic estimates for the solutions of a differential-functional equation with linear delay
by: Bel’skii, D. V., et al.
Published: (2019)

On the exponential stability of neutral linear systems with variable delays
by: Y. Altun, et al.
Published: (2020)

Periodic solutions of “predator–prey” systems with continuous delay and periodic coefficients
by: Borzdyko, V. I., et al.
Published: (2010)

Алгебраические критерий и достаточные условия асимптотической устойчивости и ограниченности с вероятностью 1 решений системы линейных стохастических разностных уравнений
by: Кореневский, Д.Г.
Published: (1986)

Алгебраический критерий абсолютной (по нелинейности) устойчивости стохастических систем автоматического регулирования с нелинейной обратной связью
by: Кореневский, Д.Г.
Published: (1988)

Алгебраические коэффициентные условия абсолютной (не зависящей от запаздывания) асимптотической устойчивости с вероятностью 1 решений систем линейных стохастических уравнений Ито с последействием
by: Кореневский, Д.Г.
Published: (1985)

Матричные алгебраические критерий и достаточные условия асимптотической устойчивости и ограниченности с вероятностью 1 решений системы линейных стационарных интегро-дифференциальных стохастических уравнений Ито
by: Кореневский, Д.Г.
Published: (1986)

Алгебраические условия абсолютной устойчивости с вероятностью 1 решений систем линейных стохастических уравнений Ито с последействием. Случай векторного винеровского процесса и нескольких запаздываний
by: Кореневский, Д.Г.
Published: (1986)

Weak and strong stabilization for time-delay semi-linear systems governed by constrained feedback control
by: Y. Benslimane, et al.
Published: (2021)

Conditions for the stability of an impulsive linear equation with pure delay
by: Ivanov, I. L., et al.
Published: (2009)

Asymptotic limits of solutions of linear systems of functional-differential equations with linear and constant delays
by: H. P. Peliukh, et al.
Published: (2020)

Asymptotic estimates for the solutions of a differential-functional equation with linear delay
by: G. P. Peljukh, et al.
Published: (2019)

Stability of one difference equation with positive coefficients
by: Nikiforova, N. S., et al.
Published: (1999)

Construction of Stability Domains for Linear Aunonomous Differential Equations with Delay
by: Гритчук, Микола, et al.
Published: (2023)

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

Asymptotic almost periodic solutions of equations with delays and impulsive effects at nonfixed times
by: Yu. M. Myslo, et al.
Published: (2016)

Asymptotic Behavior of Solutions of Nonlinear Difference Equations with Continuous Argument
by: Pelyukh, G. P., et al.
Published: (2002)

Robust stability of systems with delay
by: Mustafaeva, R., et al.
Published: (1995)

Approach to the study of global asymptotic stability of lattice differential equations with delay for modeling of immunosensors
by: V. P. Martsenjuk, et al.
Published: (2019)

Criterion of Stability of Autonomic Linear Systems with Delay and Periodic Impulsive Action
by: I. L. Ivanov, et al.
Published: (2013)

Asymptotic integration of quasilinear autonomous systems with delay
by: Martynyuk, D. I., et al.
Published: (1966)

On the stability and instability of solutions of linear differential equations of the $n$th order with periodic coefficients
by: Zadiraka, К. V., et al.
Published: (1966)

On Stability in Time of Space Asymptotics of Solutions of Evolution Equations
by: Cheremnykh, E. V., et al.
Published: (2002)

Reducibility of linear systems of difference equations with almost periodic coefficients
by: Martynyuk, D. I., et al.
Published: (1993)

Continuous solutions of linear difference-functional equations
by: T. O. Yeromina
Published: (2014)

Dynamics of Market Conditions with Continuous Delays in the
by: A. V. Voronin, et al.
Published: (2014)

Уточнение коэффициентов второй секториальной гармоники геопотенциала по позиционным наблюдениям геосинхронных спутников
by: Кузнецов, Э.Д., et al.
Published: (2003)

Oscillation criteria for first order linear difference equations with several delay arguments
by: Koplatadze, R., et al.
Published: (2014)

Modeling of Boundary Value Problems for Linear Neutral Delay Differential-Difference Equations
by: Черевко, Ігор, et al.
Published: (2020)

Oscillation criteria for first-order linear difference equations with several delay arguments
by: R. Koplatadze, et al.
Published: (2014)

Modeling of Boundary Value Problems for Linear Neutral Delay Differential-Difference Equations
by: I. M. Cherevko, et al.
Published: (2020)

On the stability of dynamic systems with certain switchings, which consist of linear subsystems without delay
by: Ja. Khusainov, et al.
Published: (2021)