Cover Image

Asymptotic equivalence of impulsive systems

We present sufficient conditions for the asymptotic equivalence of a nonlinear impulsive system and a nonlinear system without pulses. We also consider the case of the asymptotic equivalence of a weakly nonlinear impulsive system and a linear system with pulses.

Saved in:

Bibliographic Details
Date:	2007
Main Authors:	Misyats, O. O., Stanzhitskii, A. N., Місяць, О. О., Станжицький, О. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3325
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

On asymptotic equivalence of solutions of stochastic and ordinary equations
by: Novak, I. H., et al.
Published: (2011)

On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems
by: Ignat'ev, A. O., et al.
Published: (2003)

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

On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces
by: Nguyen, The Hoan, et al.
Published: (2008)

On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces
by: Nguyen Sinh Bay, et al.
Published: (2008)

Application of asymptotic method to the study of one hyperbolic impulse system
by: Rogovchenko, S. P., et al.
Published: (1988)

On Reduction Principle in Stability Theory for Systems with Random Perturbations
by: Stanzhitskii, A. N., et al.
Published: (2001)

Investigation of Exponential Dichotomy of Itô Stochastic Systems by Using Quadratic Forms
by: Stanzhitskii, A. N., et al.
Published: (2001)

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

Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces
by: Dang Dinh Chau, et al.
Published: (2005)

Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces
by: Dang, Dinh Chau, et al.
Published: (2005)

Асимптотична еквівалентність імпульсних систем
by: Станжицький, О.М., et al.
Published: (2007)

On generalized ideal asymptotically statistical equivalent of order $α$ for functions
by: Öztürk, M., et al.
Published: (2018)

Asymptotic solutions of the Dirichlet problem for the heat equation with impulses
by: Matarazzo, G.
Published: (2006)

Asymptotic solutions of the Dirichlet problem for the heat equation with impulses
by: Matarazzo, G., et al.
Published: (2006)

On generalized ideal asymptotically statistical equivalent of order α for functions
by: R. Savaş, et al.
Published: (2018)

The Lyapunov direct method in the theory of asymptotic equivalence of differential equations
by: Voskresensky , E. V., et al.
Published: (1991)

Asymptotic equivalence of the solutions of the linear stochastic ito equations in the Hilbert space
by: Krenevych, A.
Published: (2007)

On Stability of Integral Sets of Impulsive Differential Systems
by: Perestyuk, N. A., et al.
Published: (2002)

Asymptotic dissipativity of stochastic processes with impulse perturbation in the Levy approximation scheme
by: A. V. Nikitin
Published: (2018)

On Impulsive Lotka–Volterra Systems with Diffusion
by: Struk, O. O., et al.
Published: (2002)

Asymptotic dissipation for random processes with impulse perturbation in the Poisson approximation scheme
by: I. V. Samojlenko, et al.
Published: (2018)

Existence and asymptotic behavior of the positive solutions of neutral impulsive differential equations
by: Dimitrova, M.B., et al.
Published: (2005)

Oscillation and asymptotic behavior of odd-order delay differential equations with impulses
by: Chen, F.
Published: (2012)

Investigation of invariant sets with random perturbations with the use of the Lyapunov function
by: Stanzhitskii, A. N., et al.
Published: (1998)

Global attractors of impulsive infinite-dimensional systems
by: Kapustyan, O. V., et al.
Published: (2016)

Asymptotic dissipativity for merged stochastic evolutionary systems with markov switchings and impulse perturbations under conditions of Levy aproximations
by: I. V. Samoilenko, et al.
Published: (2020)

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

Stability of global attractors of impulsive infinite-dimensional systems
by: Kapustyan, O. V., et al.
Published: (2018)

On equiasymptotic stability of solutions of doubly-periodic impulsive systems
by: Ignat'ev, A. O., et al.
Published: (2008)

Averaging of set-valued impulsive systems
by: N. A. Perestjuk, et al.
Published: (2013)

Global attractors of impulsive infinite-dimensional systems
by: O. V. Kapustian, et al.
Published: (2016)

Asymptotic method and wave theory of motion in studying the effect of periodic impulse forces on systems characterized by longitudinal motion velocity
by: B. I. Sokil, et al.
Published: (2022)

Global attractor of an impulsive parabolic system
by: M. O. Perestiuk, et al.
Published: (2017)

Mechanical analogs of linear impulsive systems
by: Pryz, A. M., et al.
Published: (2011)

Averaging of set-valued impulsive systems
by: Perestyuk, N. A., et al.
Published: (2013)

On multi-frequency systems with impulses
by: Tkachenko, V.I.
Published: (1998)

Equivalence of two parallel execution systems
by: Panchenko, T.V., et al.
Published: (2018)

Equivalence of two parallel execution systems
by: T. V. Panchenko, et al.
Published: (2018)

Control of impulse systems in conflict situation
by: A. G. Nakonechnyj, et al.
Published: (2019)