Synchronization of two different fractional-order chaotic systems with unknown parameters using a robust adaptive nonlinear controller

DOI10.1007/s11071-016-2726-0zbMath1355.93165OpenAlexW2318175560MaRDI QIDQ347291

Norihan Md. Arifin, Mahmoud Maheri

Publication date: 30 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/53952/1/Synchronization%20of%20two%20different%20fractional%20order%20chaotic%20systems%20.pdf

zbMATH Keywords

fractionalstabilitycontrolchaossynchronizationadaptiveLyapunov

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (10)

On the synchronization and stabilization of fractional-order chaotic systems: recent advances and future perspectives ⋮ Design of fractional-order hyperchaotic systems with maximum number of positive lyapunov exponents and their antisynchronisation using adaptive control ⋮ Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication ⋮ Fractional analysis of co-existence of some types of chaos synchronization ⋮ The robust control and synchronization of a class of fractional-order chaotic systems with external disturbances via a single output ⋮ On the complete synchronization of a time-fractional reaction–diffusion system with the Newton–Leipnik nonlinearity ⋮ A novel Mittag-Leffler stable estimator for nonlinear fractional-order systems: a linear quadratic regulator approach ⋮ Adaptive synchronization control based on QPSO algorithm with interval estimation for fractional-order chaotic systems and its application in secret communication ⋮ Secure Communication Systems Based on the Synchronization of Chaotic Systems ⋮ Secure communication on fractional-order chaotic systems via adaptive sliding mode control with teaching-learning-feedback-based optimization

Uses Software

• Matlab

Cites Work

• Unnamed Item
• A note on phase synchronization in coupled chaotic fractional order systems
• Synchronization of fractional order chaotic systems
• Chaos in a fractional-order Rössler system
• Function projective synchronization for fractional-order chaotic systems
• Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems
• Recent history of fractional calculus
• Fractional-order systems and controls. Fundamentals and applications
• Chaos in the fractional order Chen system and its control
• Chaos, fractional kinetics, and anomalous transport
• Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique
• Lyapunov functions for fractional order systems
• A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems
• Chaotic dynamics and synchronization of fractional-order Arneodo's systems
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
• Linear approximation of transfer function with a pole of fractional power
• Complex Emergent Properties and Chaos (De)synchronization
• BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM
• Controlling chaos
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
• Synchronization in chaotic systems
• Synchronization of Chaotic Fractional Chen System

This page was built for publication: Synchronization of two different fractional-order chaotic systems with unknown parameters using a robust adaptive nonlinear controller