Hausdorff Dimension Estimates for Time‐Discrete Feedback Control Systems

DOI10.1002/ZAMM.19970771203zbMath0888.93042OpenAlexW2117987834MaRDI QIDQ4369751

Antje Noack

Publication date: 12 January 1998

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19970771203

zbMATH Keywords

stabilitynonlinear systemsHausdorff dimensionHénon systemYakubovich lemmapendulum like systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Integration on manifolds; measures on manifolds (58C35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Existence and dimension properties of a global \(\mathcal B\)-pullback attractor for a cocycle generated by a discrete control system ⋮ Unnamed Item

Cites Work

• Some applications of Hausdorff dimension inequalities for ordinary differential equations
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