Chaos control and function projective synchronization of fractional-order systems through the backstepping method

DOI10.1134/S0040577916100032zbMath1359.34059MaRDI QIDQ508927

Subir Das, Vijay K. Yadav

Publication date: 8 February 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

synchronizationLorenz systemLyapunov stability theoryfractional derivativefeedback control methodbackstepping methodchaotic T-system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (7)

Controlling uncertain Genesio-Tesi chaotic system using adaptive dynamic surface and nonlinear feedback ⋮ Predefined-time antisynchronization of two different chaotic neural networks ⋮ Dynamical analysis and anti-oscillation-based adaptive control of the FO arch MEMS with optimality ⋮ Function projective synchronization of fractional order satellite system and its stability analysis for incommensurate case ⋮ Difference synchronization among three chaotic systems with exponential term and its chaos control ⋮ Projective synchronization of piecewise nonlinear chaotic maps ⋮ Anti-oscillation and chaos control of the fractional-order brushless DC motor system via adaptive echo state networks

Uses Software

• Matlab

Cites Work

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• Fractional dynamical system and its linearization theorem
• Chaos in fractional-order Genesio-Tesi system and its synchronization
• Function projective synchronization for fractional-order chaotic systems
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• Chaos control of fractional order Rabinovich-Fabrikant system and synchronization between chaotic and chaos controlled fractional order Rabinovich-Fabrikant system
• Lyapunov functions for fractional order systems
• Function projective synchronization in coupled chaotic systems
• FUNCTION PROJECTIVE SYNCHRONIZATION BETWEEN TWO IDENTICAL CHAOTIC SYSTEMS
• Design of robust reliable H_∞output feedback control for a class of uncertain linear systems with sensor failure
• Chaos in the fractional-order Lorenz system

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