Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator
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Publication:2213454
DOI10.1016/j.chaos.2019.06.035zbMath1448.93129OpenAlexW2953872453MaRDI QIDQ2213454
Publication date: 1 December 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.06.035
nonautonomous nonlinear systemslimit cycleDuffing oscillatorcontrolled Poincaré maptime-piecewise-constant controller
Feedback control (93B52) Nonlinear systems in control theory (93C10) Chaos control for problems involving ordinary differential equations (34H10)
Related Items (4)
Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model ⋮ Control of homoclinic bifurcation in two-dimensional dynamical systems by a feedback law based on \(L^p\) spaces ⋮ Finite-Time Stabilization of the Fractional Model of the Driven Dissipative Nonlinear Pendulum ⋮ Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map
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