 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| A.A. Zevin, "Maximum Lyapunov exponents and stability criteria of linear systems with variable delay," J. Appl. Math. Mech. 79 (1), 1-8 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
1 |
Pages |
1-8 |
| DOI |
10.1016/j.jappmathmech.2015.04.011 |
| Title |
Maximum Lyapunov exponents and stability criteria of linear systems with variable delay |
| Author(s) |
A.A. Zevin (Dnepropetrovsk, Ukraine, zevin@westa-inter.com) |
| Abstract |
The Myshkis problem of the maximum Lyapunov exponent of a first-order linear differential equation with an arbitrary bounded delay is solved. The result obtained is generalized to a system of equations of arbitrary order, whose matrix has real eigenvalues. A sufficient condition for exponential stability is obtained for a system with complex eigenvalues. |
| Received |
24 March 2014 |
| Link to Fulltext |
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| << Previous article | Volume 79, Issue 1 / 2015 | Next article >> |
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