Perturbation and robust stability of autonomous singular linear matrix difference equations

DOI10.1016/j.amc.2011.12.067zbMath1244.39014OpenAlexW2072243764MaRDI QIDQ428107

Ioannis K. Dassios

Publication date: 19 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.067

zbMATH Keywords

perturbationrobust stabilitydiscrete time systemelementary divisorscomplex Weierstrass canonical formlinear matrix difference equationsregular matrix pencils

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Robust stability (93D09) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items

Unnamed Item ⋮ On non-homogeneous singular systems of fractional nabla difference equations ⋮ On non-homogeneous generalized linear discrete time systems ⋮ Unnamed Item ⋮ On stability and state feedback stabilization of singular linear matrix difference equations ⋮ Unnamed Item ⋮ On a singular system of fractional nabla difference equations with boundary conditions ⋮ The case of a generalised linear discrete time system with infinite many solutions ⋮ On stability of generalised systems of difference equation with non-consistent initial conditions ⋮ Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations

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