CONTROLLING OSCILLATION AMPLITUDES VIA FEEDBACK

DOI10.1142/S0218127400001845zbMath0972.93028MaRDI QIDQ2710007

Daniel W. Berns, Jorge L. Moiola, Guan-Rong Chen

Publication date: 7 November 2001

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

zbMATH Keywords

nonlinear systemHopf bifurcationfeedback controlbifurcation controllimit cycle amplitude

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Feedback control of limit cycle amplitudes from a frequency domain approach
• Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
• Bifurcation control of a chaotic system
• An overview of bifurcation, chaos and nonlinear dynamics in control systems
• Output feedback stabilization of fully linearizable systems
• Rendering a subcritical Hopf bifurcation supercritical
• BIFURCATIONS IN A POWER SYSTEM MODEL
• A separation principle for the stabilization of a class of nonlinear systems