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20.458 Articles

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Linear Noetherian boundary value problem for a matrix difference-algebraic Lyapunov equation

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The study of differential-algebraic boundary value problems was initiated in the works of K. Weierstrass, N. N. Luzin and F. R. Gantmacher. Systematic study of differential-algebraic boundary value problems is devoted to the work of S. Campbell, Yu. E. Bo... see more

differential-algebraic equation | boundary value problem | matrix Lyapunov equation

Visnik HarkivsÊ¹kogo NacionalÊ¹nogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika , 2020

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The solution of the Lyapunov matrix equations

S. M. Chuiko

Lyapunov matrix equations widely used in the theory of stability of motion, as well as the solution of differential Riccati equations. If the structure of the general solution of the homogeneous part of the Lyapunov equation is well studied, the solution ... see more

Lyapunov matrix equation | Riccati matrix equation | pseudoinverse operator

Visnik HarkivsÊ¹kogo NacionalÊ¹nogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika , 2014

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The solution of the linear matrix equations

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Linear matrix equations widely used in the theory of stability of motion, control theory and signal processing. We suggest an algorithm for finding solutions of the inhomogeneous generalized matrix equation and, in particular, the Sylvester equation in ge... see more

Lyapunov matrix equation | Sylvester matrix equation | pseudoinverse matrix

Visnik HarkivsÊ¹kogo NacionalÊ¹nogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika , 1959

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RESEARCH OF STABILIZATION CONDITIONS AND ROBUST STABILITY OF DISCRETE ALMOST CONSERVATIVE SYSTEMS

Olena Teteriatnyk

Conditions for the stabilizability of discrete almost conservative systems in which the coefficient matrix of a conservative part has no multiple eigenvalues are investigated.It is known that a controllable system will be stabilized if its coefficient mat... see more

robust stability | almost conservative systems | Lyapunov equation

EUREKA: Physics and Engineering , 2017

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RESEARCH OF STABILIZATION CONDITIONS AND ROBUST STABILITY OF DISCRETE ALMOST CONSERVATIVE SYSTEMS

Olena Teteriatnyk

robust stability | almost conservative systems | Lyapunov equation

EUREKA: Physics and Engineering , 2017

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STABILITY OF MOTION OF RAILWAY VEHICLES DESCRIBED WITH LAGRANGE EQUATIONS OF THE FIRST KIND

A. G. Reidemeister,S. I. Levytska

Purpose. The article aims to estimate the stability of the railway vehicle motion, whose oscillations are described by Lagrange equations of the first kind under the assumption that there are no nonlinearities with discontinuities of the right-hand sides.... see more

railway vehicle | motion stability | differential-algebraic equations

Nauka ta Progres Transportu , 2018

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MATRIX APPROACH TO THE DIRECT COMPUTATION METHOD FOR THE SOLUTION OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF THE SECOND KIND WITH DEGENERATE KERNELS

Nathaniel Mahwash Kamoh, Geoffrey Kumleng, Joshua Sunday

In this paper, a matrix approach to the direct computation method for solving Fredholm integro-differential equations (FIDEs) of the second kind with degenerate kernels is presented. Our approach consists of reducing the problem to a set of linear a... see more

Fredholm | matrix | direct solution | integro-differential equation | integral

UJM (Unnes Journal of Mathematics) , 2020

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Using matrix stability for variable telegraph partial differential equation

Mahmut Modanli,Bawar Mohammed Faraj,Faraedoon Waly Ahmed

The variable telegraph partial differential equation depend on initial boundary value problem has been studied. The coefficient constant time-space telegraph partial differential equation is obtained from the variable telegraph partial differential equati... see more

Time-space telegraph differential equations | matrix stability | first and second order difference schemes | approximation solution.

An International Journal of Optimization and Control: Theories & Applications , 2020

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On the reduction of a nonlinear Noetherian differential-algebraic boundary-value problem to a noncritical case

Sergey Chuiko, Olga V. Nesmelova

The study of the differential-algebraic boundary value problems was established in the papers of K. Weierstrass, M.M. Lusin and F.R. Gantmacher. Works of S. Campbell, Yu.E. Boyarintsev, V.F. Chistyakov, A.M. Samoilenko, M.O. Perestyuk, V.P. Yakovets, O.A.... see more

boundary-value problems | differential-algebraic equations | noncritical case | pseudoinverse matrices

Visnik HarkivsÊ¹kogo NacionalÊ¹nogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika , 1958

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