Floquet theorem for linear implicit nonautonomous difference systems

DOI10.1016/j.jmaa.2005.08.075zbMath1100.39017OpenAlexW2088463407MaRDI QIDQ2496707

Pham Ky Anh, Ha Thi Ngoc Yen

Publication date: 20 July 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.08.075

zbMATH Keywords

systemFloquet theoremimplicit difference equationsLyapunov reduction theorem

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Discrete version of topics in analysis (39A12)

Related Items (7)

Switched linear singular systems in discrete time: solution theory and observability notions ⋮ On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients ⋮ Exponential Stability and Robust Stability for Linear Time-Varying Singular Systems of Second Order Difference Equations ⋮ Stability analysis for switched discrete-time linear singular systems ⋮ Subadjoint equations of index-1 linear singular difference equations ⋮ LINEAR TRANSFORMATIONS AND FLOQUET THEOREM FOR LINEAR IMPLICIT DYNAMIC EQUATIONS ON TIME SCALES ⋮ Bohl-Perron type stability theorems for linear singular difference equations

Cites Work

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• How Floquet theory applies to index-1 differential algebraic equations
• Basic theory of linear singular discrete systems with delay.
• On the solvability of initial-value problems for nonlinear implicit difference equations
• On Linear Implicit Non-autonomous Systems of Difference Equations

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