Necessary and sufficient conditions for stabilizability of discrete-time systems via delayed feedback control

DOI10.1016/j.physleta.2005.06.007zbMath1184.93104OpenAlexW2091819867MaRDI QIDQ936788

Yu-Ping Tian, Jian-dong Zhu

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.06.007

zbMATH Keywords

stabilizabilitynecessary and sufficient conditiondelayed feedback controlchaotic discrete-time systemsodd number limitation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Dynamical systems in control (37N35)

Related Items (11)

Approximate prediction-based control method for nonlinear oscillatory systems with applications to chaotic systems ⋮ Stabilization of periodic orbits of discrete-time dynamical systems using the prediction-based control: new control law and practical aspects ⋮ Fejér Polynomials and Chaos ⋮ Synchronously discrete-time feedback control of large-scale systems ⋮ Anticontrol of chaos for a class of delay difference equations based on heteroclinic cycles connecting repellers ⋮ A new method for finding cycles by semilinear control ⋮ Stabilizability of uncontrollable systems via generalized delayed feedback control ⋮ A survey on delayed feedback control of chaos ⋮ Multi-variable control of chaos using PSO-based minimum entropy control ⋮ Connections among several chaos feedback control approaches and chaotic vibration control of mechanical systems ⋮ A NEW GENERALIZATION OF DELAYED FEEDBACK CONTROL

Cites Work

• Full characterization on limitation of generalized delayed feedback control for discrete-time systems
• On the stability of delayed feedback controllers
• Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
• Prediction-based control of chaos
• Nonlinear recursive delayed feedback control for chaotic discrete-time systems
• On analytical properties of delayed feedback control of chaos.
• Dynamic delayed feedback controllers for chaotic discrete-time systems
• TIME DELAYED REPETITIVE LEARNING CONTROL FOR CHAOTIC SYSTEMS
• Stabilizing unstable periodic orbits of chaotic systems via an optimal principle

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