Linear control semigroups acting on projective space

DOI10.1007/BF01053533zbMath0784.34049OpenAlexW1964167808MaRDI QIDQ686320

Wolfgang Kliemann, Fritz Colonius

Publication date: 13 October 1993

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01053533

zbMATH Keywords

controllabilityprojective spacechain control setslinear control semigroupssemilinear control systemstructure of control sets

Mathematics Subject Classification ID

Controllability (93B05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Dynamics induced by flows and semiflows (37C10)

Related Items

Semigroup actions on homogeneous spaces, On radial and directional controllability of bilinear systems, Attractors and chain recurrence for semigroup actions, Universal regular control for generic semilinear systems, On the number of control sets on projective spaces, Some aspects of control systems as dynamical systems, The Morse spectrum of linear flows on vector bundles, The Lyapunov spectrum of families of time-varying matrices, Feedback stabilization of discrete-time homogeneous semi-linear systems, Discrete feedback stabilization of semilinear control systems

Cites Work

• Some aspects of control systems as dynamical systems
• Controllability of right invariant systems on real simple Lie groups
• Minimal and maximal Lyapunov exponents of bilinear control systems
• Infinite time optimal control and periodicity
• Control systems on Lie groups
• Transitivity of Families of Invariant Vector Fields on The Semidirect Products of Lie Groups
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Flows on Vector Bundles and Hyperbolic Sets
• The Lyapunov spectrum of families of time-varying matrices
• Determination of the Transitivity of Bilinear Systems
• Lie Theory and Control Systems Defined on Spheres
• Differentiable dynamical systems
• System Theory on Group Manifolds and Coset Spaces
• Isolated Invariant Sets for Flows on Vector Bundles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item