Synchronization of fractional-order chaotic systems using unidirectional adaptive full-state linear error feedback coupling
From MaRDI portal
Publication:327469
DOI10.1007/s11071-015-2148-4zbMath1348.93168OpenAlexW318284257MaRDI QIDQ327469
Xian-Feng Li, Yan-Dong Chu, Xiao-Bo Rao, Andrew Y. T. Leung
Publication date: 19 October 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2148-4
Feedback control (93B52) Adaptive control/observation systems (93C40) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)
Related Items (11)
Three-dimensional chaotic autonomous system with a circular equilibrium: analysis, circuit implementation and its fractional-order form ⋮ A novel continuous time-varying sliding mode controller for robustly synchronizing non-identical fractional-order chaotic systems precisely at any arbitrary pre-specified time ⋮ Adaptive fractional order sliding mode controller with neural estimator ⋮ Chaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systems ⋮ Global Practical Mittag Leffler Stabilization by Output Feedback for a Class Of Nonlinear Fractional‐Order Systems ⋮ Existence and globally asymptotic stability of equilibrium solution for fractional-order hybrid BAM neural networks with distributed delays and impulses ⋮ Chaos suppression in fractional systems using adaptive fractional state feedback control ⋮ Synchronization of Fractional Chaotic and Hyperchaotic Systems Using an Extended Active Control ⋮ Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations ⋮ Adaptive synchronization of fractional Lorenz systems using a reduced number of control signals and parameters ⋮ On the Stability of Caputo Fractional-Order Systems: A Survey
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite-time stabilization for hyper-chaotic Lorenz system families via adaptive control
- Synchronization of integer order and fractional order Chua's systems using robust observer
- Generalized finite-time synchronization between coupled chaotic systems of different orders with unknown parameters
- A note on phase synchronization in coupled chaotic fractional order systems
- Finite-time stabilization of a class of chaotic systems via adaptive control method
- Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller
- Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities
- Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor
- Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Generalized projective synchronization for a class of chaotic systems with parameter mismatching, unknown external excitation, and uncertain input nonlinearity
- A novel three-dimensional autonomous chaos system
- Chaos desynchronization in strongly coupled systems
- Stability analysis of linear fractional differential system with multiple time delays
- Chaos synchronization of the master-slave generalized Lorenz systems via linear state error feedback control
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- A new criterion for chaos and hyperchaos synchronization using linear feedback control
- Chaotic attractors in incommensurate fractional order systems
- Chaos in the fractional order unified system and its synchronization
- Chaos in fractional ordered Liu system
- Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Chaotic synchronization based on stability criterion of linear systems
- A linear feedback synchronization theorem for a class of chaotic systems
- A simple global synchronization criterion for coupled chaotic systems.
- The synchronization of chaotic systems
- Chaos synchronization between linearly coupled chaotic systems.
- A new chaotic attractor
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme
- Synchronization of nonidentical chaotic fractional-order systems with different orders of fractional derivatives
- Chaotic incommensurate fractional order Rössler system: active control and synchronization
- Lyapunov functions for fractional order systems
- Image encryption based on synchronization of fractional chaotic systems
- An equation for continuous chaos
- Coupled chaotic Colpitts oscillators: identical and mismatched cases
- Stabilization of fractional order systems using a finite number of state feedback laws
- Robust synchronization of a chaotic mechanical system with nonlinearities in control inputs
- A modified adaptive control method for synchronization of some fractional chaotic systems with unknown parameters
- Controlling Rucklidge chaotic system with a single controller using linear feedback and passive control methods
- Feedback synchronization of the fractional order reverse butterfly-shaped chaotic system and its application to digital cryptography
- Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems
- Lyapunov stability theorem about fractional system without and with delay
- Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control
- Chaos synchronization in fractional differential systems
- Adaptive-feedback control algorithm
- IPMC Actuators Non Integer Order Models
- Integer and Fractional Order Multiwing Chaotic Attractors via the Chen System and the Lü System with Switching Controls
- Synchronization in uncertain complex networks
- Dynamic analysis of the fractional-order Liu system and its synchronization
- Controlling chaos
- Synchronization and an application of a novel fractional order King Cobra chaotic system
- A GLOBAL SYNCHRONIZATION CRITERION FOR COUPLED CHAOTIC SYSTEMS VIA UNIDIRECTIONAL LINEAR ERROR FEEDBACK APPROACH
- Synchronization in chaotic systems
- Chaos in the fractional-order Lorenz system
- Desynchronization bifurcation of coupled nonlinear dynamical systems
- Loss of synchronization of coupled Rössler systems
This page was built for publication: Synchronization of fractional-order chaotic systems using unidirectional adaptive full-state linear error feedback coupling
