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Journal Electromagnetic Waves and Electronic Systems №4 for 2018 г.
Article in number:
Stability conditions of linear time-varying dynamical systems
Type of article: scientific article
UDC: 519.7
Keywords: stability linear nonstationary system Lyapunov function coefficient conditions logarithmic norm of a matrix.
Authors:

O.V. Druzhinina – Dr.Sc.(Phys.-Math.), Professor, Main Research Scientist, FRC «Computer Science and Control» of RAS (Moscow); Main Research Scientist, V.A. Trapeznikov Institute of Control Sciences of RAS (Moscow) E-mail: ovdruzh@mail.ru

E.V. Lisovsky – Ph.D.(Phys.-Math.), Associate Professor, Kaluga branch of the Bauman MSTU E-mail: levgenijv@gmail.com

Abstract:

Qualitative properties of solutions of nonstationary linear systems of differential equations with continuous coefficients are studied. Stability conditions are obtained on the basis of the Lyapunov function method and the conditions of diagonal domination. The properties of the logarithmic measure of the matrix of the right-hand side of the system are used for stability analysis.

Pages: 55-60
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Date of receipt: 19 марта 2018 г.