Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems

DOI10.1016/J.CHAOS.2005.12.059zbMath1136.93430OpenAlexW2157724658MaRDI QIDQ2468155

Zhenya Yan, Pei Yu

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.12.059

zbMATH Keywords

chaos control via state feedback controlcontrol functions combined by one linear function and one adaptive functionglobal chaos lag synchronization

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Adaptive control/observation systems (93C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for ordinary differential equations (34D99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller
• Absolute stability of nonlinear control systems
• Impulsive control of a new chaotic system.
• Feedback and adaptive control for the synchronization of Chen system via a single variable
• Adaptive synchronization of chaotic systems and its application to secure communications
• The synchronization of chaotic systems
• Stability of BDF methods for nonlinear Volterra integral equations with delay
• An equation for continuous chaos
• Controlling chaos and synchronization for new chaotic system using linear feedback control
• Controlling hyperchaos in the new hyperchaotic Chen system
• GLOBALLY ATTRACTIVE AND POSITIVE INVARIANT SET OF THE LORENZ SYSTEM
• STUDY OF GLOBALLY EXPONENTIAL SYNCHRONIZATION FOR THE FAMILY OF RÖSSLER SYSTEMS
• Period Three Implies Chaos
• Controlling chaos
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
• CAN A THREE-DIMENSIONAL SMOOTH AUTONOMOUS QUADRATIC CHAOTIC SYSTEM GENERATE A SINGLE FOUR-SCROLL ATTRACTOR?
• A New Criterion for Chaos Synchronization Using Linear State Feedback Control
• A NEW CHAOTIC SYSTEM AND ITS GENERATION
• ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
• Synchronization in chaotic systems
• ANALYSIS ON THE GLOBALLY EXPONENT SYNCHRONIZATION OF CHUA'S CIRCUIT USING ABSOLUTE STABILITY THEORY
• Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems—A symbolic-numeric computation approach

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