On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients

DOI10.1080/10236198.2016.1198341zbMath1360.39010OpenAlexW2461473143MaRDI QIDQ2964216

Unnamed Author, Nguyen Huu Du, Vu Hoang Linh

Publication date: 23 February 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1198341

zbMATH Keywords

exponential stabilityCauchy operatortractability indexBohl exponentcanonical projectorlinear singular systems of difference equations

Mathematics Subject Classification ID

Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (10)

Bohl–Perron theorem for random dynamical systems ⋮ Bohl theorem for Volterra equation ⋮ Exponential dichotomy and stable manifolds for differential-algebraic equations on the half-line ⋮ 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 ⋮ Almost periodic solutions for some semilinear singular difference equations ⋮ Some relations between Bohl exponents and the exponential dichotomy spectrum ⋮ On the robust stability of Volterra differential-algebraic equations ⋮ Bohl-Perron type stability theorems for linear singular difference equations ⋮ On stability, Bohl exponent and Bohl–Perron theorem for implicit dynamic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Robustness of stability of time-varying index-1 DAEs
• Differential-algebraic equations. A projector based analysis
• On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems
• Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations
• Existence and uniqueness of solutions of linear variable coefficient discrete-time descriptor systems
• On exponential dichotomy, Bohl--Perron type theorems and stability of difference equations
• Alternative formulae for lower general exponent of discrete linear time-varying systems
• Floquet theorem for linear implicit nonautonomous difference systems
• On the robust stability of implicit linear systems containing a small parameter in the leading term
• Dynamic equations in descriptor form
• The concept of spectral dichotomy for linear difference equations II
• On Linear Implicit Non-autonomous Systems of Difference Equations
• Bohl exponent for time-varying linear differential-algebraic equations
• Stability Analysis of Implicit Difference Equations Under Restricted Perturbations
• STABILITY RADII FOR IMPLICIT DIFFERENCE EQUATIONS

This page was built for publication: On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients