Stabilization of chaotic dynamics: a modern control approach

DOI10.1080/00207179608921648zbMath0854.93083OpenAlexW1998567609MaRDI QIDQ4890793

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Publication date: 22 January 1997

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179608921648

zbMATH Keywords

Lyapunov stabilityperiodic orbitlogistic mapchaotic attractorOGY method\(H^ \infty\) design\(LQ\) design

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

PEAK-TO-PEAK DYNAMICS: A CRITICAL SURVEY ⋮ Optimization of local control of chaos by an evolutionary algorithm

Cites Work

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• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• Determination of steady state behavior for periodic discrete filtering problems

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