Carathéodory-Pesin structures associated with control systems

DOI10.1016/j.sysconle.2017.12.009zbMath1386.93154OpenAlexW2784158305MaRDI QIDQ1749343

Yu Huang, Xing Fu Zhong

Publication date: 16 May 2018

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.12.009

zbMATH Keywords

invariance entropytopological feedback entropydimension type

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Control/observation systems in abstract spaces (93C25)

Related Items (18)

Measure-theoretic invariance entropy and variational principles for control systems ⋮ Inverse variational principles for control systems ⋮ Topological complexity: entropy point, metric mean dimension in control systems ⋮ Invariance Pressure of Control Sets ⋮ Invariance entropy for uncertain control systems ⋮ Variational principles for topological invariance entropy of semigroup actions ⋮ Equi-invariability and bounded invariance complexity for control systems ⋮ BS invariance pressures for control systems ⋮ Measure-Theoretic Invariance Entropy for Control Systems ⋮ Invariance pressure for control systems ⋮ Equi-invariability, bounded invariance complexity and L-stability for control systems ⋮ Weak mixing in switched systems ⋮ Variational principles of invariance pressures on partitions ⋮ Bounds for invariance pressure ⋮ Entropy for Practical Stabilization ⋮ Dichotomy theorem for control sets ⋮ Invariance pressure dimensions for control systems ⋮ Controllability properties and invariance pressure for linear discrete-time systems

Cites Work

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• A note on topological feedback entropy and invariance entropy
• Upper and lower estimates for invariance entropy
• Topological pressure and the variational principle for noncompact sets
• Invariance entropy for deterministic control systems. An introduction
• Invariance Entropy for Control Systems
• Topological Entropy for Noncompact Sets
• Topological Feedback Entropy and Nonlinear Stabilization
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces

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