2019
Том 71
№ 7

All Issues

Matviichuk K. S.

Articles: 8
Article (Ukrainian)

Technical stability of autonomous control systems with variable structure

Matviichuk K. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1999. - 51, № 12. - pp. 1645–1658

We obtain conditions for the technical stability of autonomous dynamical systems with discontinuous control with respect to a given measure.

Article (Russian)

On conditions of technical stability of solutions of a nonlinear boundary-value problem describing processes under parametric excitation in a Hilbert space

Matviichuk K. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1999. - 51, № 3. - pp. 349–363

Sufficient conditions for technical stability are obtained for solutions of a nonlinear boundary-value problem which describes distributed parametric processes in a Hilbert space.

Article (Russian)

On sufficient conditions for the technical stability of controlled processes with lumped parameters

Matviichuk K. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1998. - 50, № 10. - pp. 1352–1358

On the basis of the theory of differential inequalities and Lagrange multipliers, we develop a method for the investigation of conditions for the technical stability of continuously controlled processes with lumped parameters.

Article (Russian)

On conditions of technical stability of controlled processes with distributed parameters

Matviichuk K. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 10. - pp. 1337–1344

We formulate sufficient conditions for the technical stability on given bounded and infinite time intervals and for the asymptotic technical stability of continuously controlled linear dynamical processes with distributed parameters. By using the comparison method and the method of Lagrange multipliers in combination with the Lyapunov direct method, we obtain criteria which define a set of controls providing the technical stability of the output process. We select the optimal control that realizes the least value of the norm corresponding to a given process.

Article (Ukrainian)

A comparison principle for the equations of a system of coupled bodies with damping elements

Matviichuk K. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1982. - 34, № 5. - pp. 625—630

Article (Ukrainian)

Comparison method for systems of differential equations with a rapidly rotating phase

Matviichuk K. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1982. - 34, № 4. - pp. 456—461

Article (Ukrainian)

Comparison principle for systems of differential equations with rapidly rotating phase

Martynyuk A. A., Matviichuk K. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 498–503

Article (Ukrainian)

Bose-Einstein and Fermi-Dirac systems and reduced density matrices with nonzero boundary conditions

Matviichuk K. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1973. - 25, № 3. - pp. 313—322