Hyperbolic control sets and chain control sets
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Publication:1868355
DOI10.1023/A:1026645605711zbMath1016.93009OpenAlexW168794792MaRDI QIDQ1868355
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
lifthyperbolicityaffine systemschain control setshadowing lemmacontrolled \((\varepsilon, T)\)-chain
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)
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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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