On topological equivalence of linear lows with applications to bilinear control systems

DOI10.1007/s10883-007-9021-9zbMath1129.37008OpenAlexW2102526723MaRDI QIDQ2466410

Wolfgang Kliemann, Victor Ayala, Fritz Colonius

Publication date: 14 January 2008

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-708060

zbMATH Keywords

topological conjugacyLyapunov decompositionGrassmann graphslinear flows

Mathematics Subject Classification ID

Canonical structure (93B10) Dynamical systems in control (37N35) Topological dynamics of nonautonomous systems (37B55)

Related Items (12)

Lyapunov stability on fiber bundles ⋮ A topological conjugacy of invariant flows on some class of Lie groups ⋮ Attraction and Lyapunov stability for control systems on vector bundles ⋮ Conley indexes and stable sets for flows on flag bundles ⋮ Topological conjugacy of linear systems on Lie groups ⋮ Morse and Lyapunov spectra and dynamics on flag bundles ⋮ On the classification of finite-dimensional linear flows ⋮ A review on some classes of algebraic systems ⋮ A splitting theorem for affine skew-product flows ⋮ A non-canonical scalar field cosmological model: Stability and bifurcation analysis ⋮ Invariance entropy for topological semigroup actions ⋮ Attraction, Lyapunov stability and orbital maps for semigroup actions on topological spaces and fiber bundles

Cites Work

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• Dynamical characterization of the Lyapunov form of matrices
• The inverse dynamics problem of neuromuscular control
• Morse decompositions and spectra on flag bundles
• Chain transitive sets for flows on flag bundles
• Flows on Vector Bundles and Hyperbolic Sets
• Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems
• A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems
• Isolated Invariant Sets for Flows on Vector Bundles

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