Adaptive Neural Network Synchronization Control for Uncertain Fractional-Order Time-Delay Chaotic Systems
Open Access
- 27 March 2023
- journal article
- research article
- Published by MDPI AG in Fractal and Fractional
- Vol. 7 (4), 288
- https://doi.org/10.3390/fractalfract7040288
Abstract
We propose an adaptive radial basis (RBF) neural network controller based on Lyapunov stability theory for uncertain fractional-order time-delay chaotic systems (FOTDCSs) with different time delays. The controller does not depend on the system model and can achieve synchronous control under the condition that nonlinear uncertainties and external disturbances are completely unknown. Stability analysis showed that the error system asymptotically tended to zero in combination with the relevant lemma. Numerical simulation results show the effectiveness of the controller.Keywords
Funding Information
- National Natural Science Foundation of China (61471158)
- Graduate Innovative Science Research Project of Heilongjiang University (NYJSCX2022-023HLJU)
This publication has 34 references indexed in Scilit:
- Effects of leakage time-varying delays in Markovian jump neural networks with impulse controlNeurocomputing, 2013
- Bifurcation and control in a neural network with small and large delaysNeural Networks, 2013
- Finite-Time Stability of Fractional-Order Neural Networks with DelayCommunications in Theoretical Physics, 2013
- Function projective synchronization for fractional-order chaotic systemsNonlinear Analysis: Real World Applications, 2011
- Hybrid projective synchronization of chaotic fractional order systems with different dimensionsPhysica A: Statistical Mechanics and its Applications, 2010
- Finite-time stability analysis of fractional order time-delay systems: Gronwall’s approachMathematical and Computer Modelling, 2008
- FINITE TIME STABILITY ANALYSIS OF LINEAR AUTONOMOUS FRACTIONAL ORDER SYSTEMS WITH DELAYED STATEAsian Journal of Control, 2008
- Projective synchronization of fractional order chaotic system based on linear separationPhysics Letters A, 2008
- Projective Synchronization In Three-Dimensional Chaotic SystemsPhysical Review Letters, 1999
- Synchronization in chaotic systemsPhysical Review Letters, 1990