Výsledky vyhledávání - "V. I. Slyn'ko"

On the Dynamic Stability of Impulsive Mechanical Systems with Delay

Autor: V. I. Slyn’ko, V. N. Kolesnichenko

Publikováno v: Journal of Mathematical Sciences. 246:337-351

We consider impulsive mechanical systems with delay and establish sufficient conditions for asymptotic stability of the equilibrium positions of a system with periodic parameters in the linear approximation. It is also assumed that the value of delay

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::26afb40ca5ec43e24eaa1417a23ba154
https://doi.org/10.1007/s10958-020-04743-y

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Sufficient conditions for the stability of linear periodic impulsive differential equations

Autor: V. O. Bivziuk, V. I. Slyn'ko

Publikováno v: Sbornik: Mathematics. 210:1511-1530

Abstract linear periodic impulsive differential equations are considered. The impulse effect instants are assumed to satisfy the average dwell-time condition (the ADT condition). The stability problem is reduced to studying the stability of an auxili

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7e94fd65866015b8be61f9189becca7d
https://doi.org/10.1070/sm9154

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Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative

Autor: V. I. Slyn’ko, I. V. Atamas

Publikováno v: Differential Equations. 55:1407-1419

We use the vector Lyapunov function method and the comparison method in conjunction with methods of convex geometry and the theory of mixed volumes to obtain analogs of the Liouville formula for some classes of linear differential equations with the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d13dee06816424ed9b2c4aa4b81c69a2
https://doi.org/10.1134/s0012266119110016

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Stabilization Algorithm for Periodic Affine Systems

Autor: V. I. Slyn’ko

Publikováno v: Mechanics of Solids. 54:623-631

In this paper, we propose a stabilization algorithm for affine periodic systems. Linear feedback with a variable matrix that is a periodic and piecewise-constant function of time is synthesized. An example of damping resonant parametric oscillations

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4a5feb5f9f9d229556a75c388ba83bd7
https://doi.org/10.3103/s0025654419050170

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Conditions of stability for periodic linear systems of ordinary differential equations

Autor: V. I. Slyn′ko

Publikováno v: St. Petersburg Mathematical Journal. 30:885-900

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4908b8e76fa889947e724a0c5d2804fe
https://doi.org/10.1090/spmj/1575

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Solution Area for a Class of Linear Differential Equations with Hukuhara Derivative

Autor: V. I. Slyn’ko

Publikováno v: Mathematical Notes. 105:285-290

A formula for the solution area for a class of linear differential equations with Hukuhara derivative is obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::93104d6d35403b5c85aeb6decde84555
https://doi.org/10.1134/s0001434619010310

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Sufficient Conditions for Stability of Periodic Linear Impulsive Delay Systems

Autor: Cemil Tunç, V. I. Slyn'ko

Publikováno v: Automation and Remote Control. 79:1989-2004

For a linear periodic system with impulsive action and delay, new approaches to the study of stability were proposed on the basis of the methods of spectral theory of linear operators, direct Lyapunov method, and N.G. Chetaev method for construction

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f07e0ea1b60f76306d2f1707ca71ccc
https://doi.org/10.1134/s0005117918110048

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Stability of Fixed Points for a Class of Quasilinear Cascades in the Space conv ℝ n

Autor: V. I. Slyn’ko, I. V. Atamas

Publikováno v: Ukrainian Mathematical Journal. 69:1354-1369

We study discrete dynamical systems (cascades) in a semilinear metric space of nonempty convex compacts of the finite-dimensional space. By using the Minkowski and Aleksandrov methods of convex geometry, we establish sufficient conditions for the sta

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::acfa2b98e841b7751ddf877aa7326708
https://doi.org/10.1007/s11253-018-1436-9

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Application of the Lyapunov vector functions to the stability study of fixed points in the sets of discrete dynamic systems

Autor: V. I. Slyn'ko

Publikováno v: Automation and Remote Control. 78:1757-1774

Stability conditions for fixed points of the dynamic systems in the space of nonempty convex compacts in finite-dimensional space were obtained. For the sets of dynamic systems, a methods was proposed to construct the Lyapunov vector functions. The s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b9a6e21b89c9248134f2792993e2f756
https://doi.org/10.1134/s0005117917100022

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Estimates of the Area of Solutions of Pseudolinear Differential Equations with Hukuhara Derivative in the Space conv(ℝ2)

Autor: V. I. Slyn’ko, E. V. Ocheretnyuk

Publikováno v: Ukrainian Mathematical Journal. 69:224-254

We obtain estimates for the areas of the solutions of differential equations with Hukuhara derivative of a special form in the space conv(ℝ2). The main methods used in our investigations are the method of comparison, the methods of the Minkowski–

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c003f4f4678b17d871e5e9416c8f04f9
https://doi.org/10.1007/s11253-017-1358-y

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