Minimal Bit Rates and Entropy for Exponential Stabilization

DOI10.1137/110829271zbMath1257.93074OpenAlexW1999475301MaRDI QIDQ4905935

Fritz Colonius

Publication date: 21 February 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c36d120127d129fbca754d8f7517920831b5ac32

zbMATH Keywords

exponential stabilizationminimal bit ratesstabilization entropy

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Measures of information, entropy (94A17) Control/observation systems governed by ordinary differential equations (93C15)

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Invariance entropy for a class of partially hyperbolic sets ⋮ Estimation Entropy, Lyapunov Exponents, and Quantizer Design for Switched Linear Systems ⋮ Nearest neighbor control for practical stabilization of passive nonlinear systems ⋮ Hyperbolic chain control sets on flag manifolds ⋮ Topological entropy of switched nonlinear and interconnected systems ⋮ Quantizer design for switched linear systems with minimal data-rate ⋮ Topological entropy of switched nonlinear systems ⋮ Topological entropy of switched linear systems: general matrices and matrices with commutation relations ⋮ Observation of nonlinear systems via finite capacity channels. II: Restoration entropy and its estimates ⋮ Exponential state estimation, entropy and Lyapunov exponents ⋮ Entropy of controlled invariant subspaces ⋮ Robustness of critical bit rates for practical stabilization of networked control systems ⋮ Sparse stabilization and control of alignment models ⋮ Entropy for Practical Stabilization ⋮ Numerical over-approximation of invariance entropy via finite abstractions

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