Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables

For a general system of difference (discrete) equations, using the Lyapunov function method, we obtain a number of sufficient conditions for the stability and asymptotic stability of its solution with respect to part of the variables.

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Bibliographic Details
Published in:Differential equations 2022-03, Vol.58 (3), p.405-414
Main Author: Ignatyev, A. O.
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Difference equations
Differential equations
Finite-Difference Equations
Liapunov functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Methods
Ordinary Differential Equations
Partial Differential Equations
Stability
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Description
Summary:For a general system of difference (discrete) equations, using the Lyapunov function method, we obtain a number of sufficient conditions for the stability and asymptotic stability of its solution with respect to part of the variables.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266122030107