Structural stability of linear discrete systems via the exponential dichotomy

DOI10.21136/cmj.1988.102223zbMath0661.93060OpenAlexW2735321221MaRDI QIDQ3812137

Jaroslav Kurzweil, Garyfalos Papaschinopoulos

Publication date: 1988

Full work available at URL: https://eudml.org/doc/13703

zbMATH Keywords

structural stabilityexponential dichotomydiscrete system

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Discrete version of topics in analysis (39A12) Stability of control systems (93D99)

Related Items

Does nonuniform behavior destroy the structural stability?, Exponential dichotomies, almost periodic structurally stable differential systems, and an example, Structural stability of linear difference equations in Hilbert space, Topological equivalence and structural stability for linear difference equations, Unnamed Item, Reducibility of linear dynamic equations on measure chains

Cites Work

• Exponential separation, exponential dichotomy, and almost periodicity of linear difference equations
• Structural stability via the density of a class of linear discrete systems
• A characterization of exponential dichotomy in terms of topological equivalence
• Geometric theory of semilinear parabolic equations
• Dichotomies in stability theory
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• Criteria for an exponential dichotomy of difference equations
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