Stability Analysis of Implicit Difference Equations Under Restricted Perturbations

DOI10.1137/140984191zbMath1315.65105OpenAlexW2040983302MaRDI QIDQ5251756

Volker Mehrmann, Do Duc Thuan

Publication date: 21 May 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d662bee3c607a46a1f78c4e692c80bc82abe6a5e

zbMATH Keywords

asymptotic stabilitystability radiuspositive systemstructured perturbationimplicit difference equationstrangeness-free system

Mathematics Subject Classification ID

Stability theory for difference equations (39A30) Numerical methods for difference equations (65Q10)

Related Items (12)

Stability radii of differential-algebraic equations with respect to stochastic perturbations ⋮ Solvability and stability of stochastic singular difference equations with constant coefficient matrices of index-ν ⋮ A characterization of delay independent stability for linear off-diagonal delay difference equations ⋮ Robust stability for implicit dynamic equations with causal operators on time scales ⋮ Stability of stochastic singular difference equations with delay ⋮ 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 ⋮ Index reduction for second order singular systems of difference equations ⋮ Positivity and stability analysis for linear implicit difference delay equations ⋮ Stability of two-dimensional descriptor systems with generalized directional delays ⋮ Robust stability of linear time-varying implicit dynamic equations: a general consideration ⋮ Bohl-Perron type stability theorems for linear singular difference equations

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