STABILIZATION OF UNSTABLE PERIODIC ORBITS OF CHAOTIC DISCRETE-TIME SYSTEMS USING PREDICTION-BASED FEEDBACK CONTROL

DOI10.1142/S0218127402004450zbMath1051.93525OpenAlexW1978527272WikidataQ57723833 ScholiaQ57723833MaRDI QIDQ4736351

Shigeru Yamamoto, Toshimitsu Ushio, Toru Hino

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402004450

zbMATH Keywords

feedback controlchaotic systemtime-invariant systemunstable periodic orbit

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15)

Related Items (17)

Delayed feedback stabilization and the Huijberts-Michiels-Nijmeijer problem ⋮ Stabilization of periodic orbits of discrete-time dynamical systems using the prediction-based control: new control law and practical aspects ⋮ On the stability of delayed feedback controllers ⋮ ON THE STABILIZATION OF PERIODIC ORBITS FOR DISCRETE TIME CHAOTIC SYSTEMS BY USING SCALAR FEEDBACK ⋮ An impulsive multi-delayed feedback control method for stabilizing discrete chaotic systems ⋮ A time-delayed method for controlling chaotic maps ⋮ Stabilizing chaos with predictive control ⋮ Predictive control and synchronization of chaotic and hyperchaotic systems based on a T-S fuzzy model ⋮ On the stability of delayed feedback controllers for discrete time systems ⋮ On the stabilization of periodic orbits for discrete time chaotic systems ⋮ A survey on delayed feedback control of chaos ⋮ A simple time-delayed method to control chaotic systems ⋮ Repetitive learning control of continuous chaotic systems ⋮ Frontward-response control of sudden occurrence of chaos ⋮ Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback ⋮ A NEW GENERALIZATION OF DELAYED FEEDBACK CONTROL ⋮ STABILIZATION OF UNSTABLE PERIODIC ORBITS FOR DISCRETE TIME CHAOTIC SYSTEMS BY USING PERIODIC FEEDBACK

Cites Work

• Prediction-based control of chaos
• On analytical properties of delayed feedback control of chaos.
• Discrete-time linear periodic systems: gramian and modal criteria for reachability and controllability†
• Eigenvalue assignment in linear periodic discrete-time systems†
• Controlling chaos
• On time-delayed feedback control of chaotic systems
• Pole-assignment problem for discrete-time linear periodic systems

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