STABILITY RADII FOR IMPLICIT DIFFERENCE EQUATIONS

DOI10.1142/S1793557109000091zbMath1180.39026OpenAlexW2083706656MaRDI QIDQ5324149

Nguyen Huu Du, Benjawan Rodjanadid, Nguyen Van Sanh, Nguyen Thu Ha

Publication date: 3 August 2009

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557109000091

zbMATH Keywords

robust stabilitystability radiuslinear implicit difference equationsinput-output operator

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (5)

Stability radius of implicit dynamic equations with constant coefficients on time scales ⋮ 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 ⋮ Robust stability of linear time-varying implicit dynamic equations: a general consideration ⋮ Bohl-Perron type stability theorems for linear singular difference equations

Cites Work

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• Stability radius for structured perturbations and the algebraic Riccati equation
• Robustness of stability of time-varying linear systems
• Stability radii of linear systems
• Robust stability of \(C_0\)-semigroups and an application to stability of delay equations
• A formula for the stability radius of time-varying systems
• Stability radii of linear discrete‐time systems and symplectic pencils
• The stability robustness of generalized eigenvalues
• On the calculation of time-varying stability radii

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