57998

Автор(ов):

3

Параметры публикации

Доклад

Название:

Accurate Mathematical Model of Two-Dimensional Parametric Systems Based on 2×2 Matrix

ISBN/ISSN:

978-3-030-36624-7

DOI:

10.1007/978-3-030-36625-4_17

Наименование конференции:

• 22nd International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2019, Moscow)

Наименование источника:

• Proceedings of the 22nd International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2019, Moscow)

1141

• Cham

• Springer

2019

Страницы:

199-211
Аннотация
In this paper we consider a two dimensional dynamical system with arbitrary piecewise constant parameters described by a linear homogeneous differential equations system with discontinuous coefficients. For such a system the fundamental solution matrix in the analytical form in elementary functions is found. The theorem saying that this matrix is the finite sum of the unimodular matrices with the certain influence coefficients is proved. The results allow us to carry out qualitative analysis of the corresponding dynamical systems, solve inverse problems, investigate the conditions for the oscillation stabilities. Obviously, the results can be used in theory of inhomogeneous and non-linear systems.

Библиографическая ссылка:

Вытовтов К.А., Барабанова Е.А., Вишневский В.М. Accurate Mathematical Model of Two-Dimensional Parametric Systems Based on 2×2 Matrix / Proceedings of the 22nd International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2019, Moscow). Cham: Springer, 2019. 1141. С. 199-211.