Feedback control of a nonlinear aeroelastic system with non-semi-simple eigenvalues at the critical point of Hopf bifurcation

DOI10.1515/IJNSNS-2019-0020OpenAlexW3135110886MaRDI QIDQ2235349

Yudong Chen, Chunyan Pei, Licai Wang, Lina Liu, Su-Huan Chen

Publication date: 21 October 2021

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2019-0020

zbMATH Keywords

controllability method of multiple scales nonlinear aeroelastic system stabilizability Hopf bifurcation feedback control center subspace non-semi-simple eigenvalues

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Systems theory; control (93-XX)

Cites Work

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Local feedback stabilization and bifurcation control. II: Stationary bifurcation
Controllability and stabilization of one-dimensional systems near bifurcation points
Stabilization of a class of nonlinear systems by a smooth feedback control
Local feedback stabilization and bifurcation control. I. Hopf bifurcation
Vibration analysis of viscoelastic beams by separation of variables and model analysis
Stability, bifurcation and chaos of nonlinear structures with control. I: Autonomous case
An accelerated algorithm for improvement of adaptation in nonlinear adaptive control
Bifurcation analysis and chaos control in a second-order rational difference equation
Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
Hopf bifurcation control: a new approach
The controlled center dynamics of discrete time control bifurcations
Strange attractors and chaos control in a Duffing–Van der Pol oscillator with two external periodic forces
QUANTITATIVE MEASURES OF MODAL CONTROLLABILITY AND OBSERVABILITY IN VIBRATION CONTROL OF DEFECTIVE AND NEAR-DEFECTIVE SYSTEMS
Stabilization of nonlinear systems with uncontrollable linearization
Bifurcation and Normal Form of Nonlinear Control Systems, Part I
Bifurcation Control via State Feedback for Systems with a Single Uncontrollable Mode
Analysis and Control of Hopf Bifurcations
Continuous robust control for aeroelastic vibration control of a 2-D airfoil under unsteady flow
The Controlled Center Dynamics

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