Matviichuk K. S.
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.
On conditions of technical stability of solutions of a nonlinear boundary-value problem describing processes under parametric excitation in a Hilbert space
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.
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.
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.
Ukr. Mat. Zh. - 1982. - 34, № 5. - pp. 625—630
Ukr. Mat. Zh. - 1982. - 34, № 4. - pp. 456—461
Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 498–503
Ukr. Mat. Zh. - 1973. - 25, № 3. - pp. 313—322