The controlled center dynamics of discrete time control bifurcations

DOI10.1016/J.SYSCONLE.2006.01.001zbMath1129.93501OpenAlexW2118134827MaRDI QIDQ2504703

Arthur J. Krener, Boumediene Hamzi, Wei Kang

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.01.001

zbMATH Keywords

stabilizationmodel reductiondiscrete timenonlinear control systemscontrol bifurcations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Dynamical systems in control (37N35) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

The infinite level normal forms for non-resonant double Hopf singularities ⋮ Discrete-time normal form for left invertibility problem ⋮ Feedback control of a nonlinear aeroelastic system with non-semi-simple eigenvalues at the critical point of Hopf bifurcation ⋮ The controlled center dynamics of discrete time control bifurcations ⋮ A characterization of normal forms for control systems ⋮ Controlling Neimark-Sacker bifurcations in discrete-time multivariable systems ⋮ CONTROLLING HOPF BIFURCATION IN FLUID FLOW MODEL OF INTERNET CONGESTION CONTROL SYSTEM

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
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• Nonlinear regulation for a class of discrete-time systems
• Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
• The controlled center dynamics of discrete time control bifurcations
• The stable, center-stable, center, center-unstable, unstable manifolds
• Stabilization of nonlinear systems with uncontrollable linearization
• Bifurcation and Normal Form of Nonlinear Control Systems, Part I
• Normal Forms and Bifurcations of Discrete Time Nonlinear Control Systems
• Analysis and Control of Hopf Bifurcations
• A Smooth Converse Lyapunov Theorem for Robust Stability
• Control Bifurcations
• The Controlled Center Dynamics
• A converse Lyapunov theorem for discrete-time systems with disturbances
• Nonlinear discrete-time control of systems with a Naimark-Sacker bifurcation

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