Structural stability via the density of a class of linear discrete systems

DOI10.1016/0022-247X(87)90127-2zbMath0628.39001MaRDI QIDQ1093102

John Schinas, Garyfalos Papaschinopoulos

Publication date: 1987

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

zbMATH Keywords

exponential dichotomylinear discrete systemsdifference equationmultiplicatively separated systemsstructurally stable system

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (9)

Does nonuniform behavior destroy the structural stability? ⋮ Exponential dichotomies, almost periodic structurally stable differential systems, and an example ⋮ A characterization of exponential separation in terms of reducibility for linear difference equations ⋮ Structural stability of linear discrete systems via the exponential dichotomy ⋮ Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line ⋮ Topological equivalence and structural stability for linear difference equations ⋮ NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY ⋮ Dichotomies in terms of Lyapunov functions for linear difference equations ⋮ On exponential trichotomy of linear difference equations

Cites Work

• Dichotomies in stability theory
• The structurally stable linear systems on the half-line are those with exponential dichotomies
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