Controlling chaotic Chua's circuit based on piecewise quadratic Lyapunov functions method

DOI10.1016/j.chaos.2004.02.056zbMath1060.93539OpenAlexW2042728299MaRDI QIDQ1766567

Chunguang Li, Xiaofeng Liao, Jian Zhang, Juebang Yu, Hong Bin Zhang

Publication date: 8 March 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.056

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

\(n\)-scroll chaotic attractors from saturated function series employing CCII\(+\)s ⋮ Stabilizing the unstable periodic orbits of a chaotic system using model independent adaptive time-delayed controller ⋮ A new approach to the prediction of passenger flow in a transit system ⋮ Bifurcation analysis and chaos control of the modified Chua's circuit system ⋮ A Simple Grid Multiscroll Chaotic Electronic Oscillator Employing CFOAs ⋮ Nonlinear PI control of chaotic systems using singular perturbation theory ⋮ Stabilizing the unstable periodic orbits of a hybrid chaotic system using optimal control ⋮ BIBO stabilization of piecewise switched linear systems with delays and nonlinear perturbations

Cites Work

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• Piecewise linear control systems. A computational approach
• Control of chaos: methods and applications. I: Methods
• The double scroll family
• On feedback control of chaotic continuous-time systems
• Linear Matrix Inequalities in System and Control Theory
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations
• Simultaneous stabilization via static output feedback and state feedback
• Controlling Chua's global unfolding circuit family
• Controller design and analysis of uncertain piecewise-linear systems

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