On the optimality of the Ott-Grebogi-Yorke control scheme

DOI10.1016/S0167-2789(97)00252-2zbMath0941.37060OpenAlexW1991743264MaRDI QIDQ1963450

Bogdan I. Epureanu, Earl. H. Dowell

Publication date: 1 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00252-2

zbMATH Keywords

Duffing oscillatorcontrol of chaosnonlinear flowsOtt-Grebogi-Yorke controlstabilization of unstable limit cycles

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

Dynamical control of chaos by slave-master feedback ⋮ Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives ⋮ Optimal multi-dimensional OGY controller ⋮ Adaptive control of chaotic systems based on a single layer neural network ⋮ Enhanced nonlinear dynamics for accurate identification of stiffness loss in a thermo-shielding panel ⋮ Optimization of local control of chaos by an evolutionary algorithm

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stabilization of unstable limit cycles in systems with limited controllability: Expanding the basin of convergence of OGY-type controllers
• Geometric method for stabilizing unstable periodic orbits
• Self-locating control of chaotic systems using Newton algorithm.
• Controlling chaos

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