On Optimal Stabilization of Periodic Orbits via Time Delayed Feedback Control

DOI10.1142/S0218127498001376zbMath0939.93014OpenAlexW2147356720MaRDI QIDQ4941342

G. Torrini, Michele Basso, Lorenzo Giovanardi, Alberto Tesi, Roberto Genesio

Publication date: 3 April 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498001376

zbMATH Keywords

absolute stabilitycircle criteriontime delayed feedbackstabilization of periodic solutionslinear periodic feedback system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Hysteresis models of dynamic mode atomic force microscopes: Analysis and identification via harmonic balance, Synthesis of MIMO controllers for extending the stability range of periodic solutions in forced nonlinear systems, LOWER BOUNDS FOR THE STABILITY DEGREE OF PERIODIC SOLUTIONS IN FORCED NONLINEAR SYSTEMS, DELAYED FEEDBACK CONTROL WITH STATE PREDICTOR FOR CONTINUOUS-TIME CHAOTIC SYSTEMS

Cites Work

• FEEDBACK CONTROL OF CHAOS IN SPATIOTEMPORAL SYSTEMS
• FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
• Controlling chaos
• Taming chaos. II. Control