Hyperbolic control sets and chain control sets

DOI10.1023/A:1026645605711zbMath1016.93009OpenAlexW168794792MaRDI QIDQ1868355

Weihua Du, Fritz Colonius

Publication date: 27 April 2003

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

Full work available at URL: https://doi.org/10.1023/a:1026645605711

zbMATH Keywords

lifthyperbolicityaffine systemschain control setshadowing lemmacontrolled \((\varepsilon, T)\)-chain

Mathematics Subject Classification ID

Controllability (93B05) Dynamical systems in control (37N35) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Attainable sets, reachability (93B03) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (7)

Invariance entropy for a class of partially hyperbolic sets ⋮ Control Sets for Affine Systems, Spectral Properties, and Projective Spaces ⋮ Control sets of linear systems on semi-simple Lie groups ⋮ Robustness of critical bit rates for practical stabilization of networked control systems ⋮ Invariance entropy of hyperbolic control sets ⋮ Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds ⋮ On the structure of uniformly hyperbolic chain control sets

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