Controller design for extending periodic dynamics of a chaotic \(\text{CO}_{2}\) laser

DOI10.1016/S0167-6911(97)00044-3zbMath0901.93032OpenAlexW1974892797MaRDI QIDQ1390928

Michele Basso, Alberto Tesi, Roberto Genesio

Publication date: 22 July 1998

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(97)00044-3

zbMATH Keywords

periodic solutionsnonlinear controlchaotic dynamicsdelayed control\(\text{CO}_2\) lasercancellation of subharmonic componentscascade of period doubling bifurcationsfeedback compensation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Application models in control theory (93C95) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Chaos control in uncertain dynamical systems using nonlinear delayed feedback ⋮ LOWER BOUNDS FOR THE STABILITY DEGREE OF PERIODIC SOLUTIONS IN FORCED NONLINEAR SYSTEMS ⋮ CONTROL OF COMPLEX PEAK-TO-PEAK DYNAMICS

Cites Work

• Models of complex dynamics in nonlinear systems
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• Stabilization of period doubling bifurcations and implications for control of chaos
• Control of chaos via extended delay feedback
• Chaos prediction in nonlinear feedback systems
• 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
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