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Article information
2011 , Volume 16, ¹ 5, p.57-67
Zakrevskiy T.D., Matveeva I.I.
On computing a characteristic of the asymptotic stability of solutions to linear systems of periodic difference equations with a parameter
In the present paper, linear systems of periodic difference equations with a parameter are considered. We study a sequence of the Lyapunov discrete equations of the special form and obtain solutions to these equations in the form of series in the parameter. Using these solutions, we develop an algorithm for computing a characteristic of the asymptotic stability of solutions to the linear systems of periodic difference equations with the parameter
[full text]
Keywords: difference equations, periodic coefficients, parameter, asymptotic stability, numerical characteristics
Author(s):
Zakrevskiy Timofey Dmitrievich
Position: The master of mathematics
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Pirogov Street, 2
Phone Office: (383)3634673
E-mail: timofey.zakrevskiy@gmail.com
Matveeva Inessa Izotovna
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac/ Koptug ave., 4
Phone Office: (383)3634673
E-mail: matveeva@math.nsc.ru
Bibliography link:
Zakrevskiy T.D., Matveeva I.I. On computing a characteristic of the asymptotic stability of solutions to linear systems of periodic difference equations with a parameter // Computational technologies. 2011. V. 16. ¹ 5. P. 57-67
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