Adaptive sliding mode control for a class of uncertain nonlinear fractional-order Hopfield neural networks
Source abstract
Abstract
The stabilization problem for a class of uncertain nonlinear fractional-order Hopfield neural networks (FOHNNs) is solved by adaptive sliding mode control (ASMC). The uncertain internal parameters and the unknown external nonlinear perturbations are estimated by adaptive techniques. Firstly, a switched sliding mode surface (SMS) of uncertain nonlinear FOHNNs is presented. Secondly, in order to guarantee the stability of uncertain nonlinear FOHNNs, an effective sliding mode controller (SMC) is designed. According to the fractional-order Lyapunov theory, the sliding mode asymptotically converges to the origin in finite time. Finally, a numerical example of a three-dimensional uncertain nonlinear FOHNNs is given to demonstrate the effectiveness of the proposed method.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Neural Networks and Applications · Neural Networks Stability and Synchronization · Advanced Memory and Neural Computing
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Mathematics and Systems Science, Shandong University of Science and Technology , Qingdao 266590, China
References (54)
Show source-provided references
1. Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay10.1016/j.neunet.2016.10.010 ↗
2. 2011
3. Multiple μ-stability analysis of complex-valued neural networks with unbounded time-varying delays10.1016/j.neucom.2014.08.015 ↗
4. Exponential h∞ filtering for continuous-time switched neural networks under persistent dwell-time switching regularity10.1109/TCYB.2019.2901867 ↗
5. Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control10.1088/1674-1056/27/1/010202 ↗
6. Existence, uniqueness, and exponential stability analysis for complex-valued memristor-based BAM neural networks with time delays10.1016/j.amc.2017.05.021 ↗
7. Adaptive synchronization for uncertain delayed fractional-order Hopfield neural networks via fractional-order sliding mode control
8. Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay10.1142/s0218127417502091 ↗
9. Uniqueness of solution for boundary value problems for fractional differential equations10.1016/j.aml.2015.07.002 ↗
10. Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions10.1186/s13661-016-0573-z ↗
11. On the existence of blow up solutions for a class of fractional differential equations10.2478/s13540-014-0220-2 ↗
12. Global Mittag-Leffler synchronization of delayed fractional-order memristive neural networks10.1186/s13662-018-1800-y ↗
13. On the uniqueness of solutions for a class of fractional differential equations10.1016/j.aml.2017.05.011 ↗
14. New uniqueness results for boundary value problem of fractional differential equation10.15388/na.2018.1.3 ↗
15. 2007
16. Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay10.1142/s0218127417502091 ↗
17. Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay10.1016/j.camwa.2011.04.057 ↗
18. A numerical method for delayed fractional-order differential equations
19. A numerical method for delayed fractional-order differential equations: Based on G-L definition10.12785/amis/072l22 ↗
20. Reduced-order observer design for the synchronization of the generalized Lorenz chaotic systems10.1016/j.amc.2012.01.028 ↗
21. Pinning synchronization for directed networks with node balance via adaptive intermittent control10.1007/s11071-014-1869-0 ↗
22. h∞ synchronization of semi-Markovian jump neural networks with randomly occurring time-varying delays
23. A fractional diffusion equation model for cancer tumor10.1063/1.4898331 ↗
24. Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays10.1016/j.amc.2018.02.029 ↗
25. Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function
26. l2 − l∞ synchronization for singularly perturbed complex networks with semi-Markov jump topology10.1016/j.amc.2017.10.039 ↗
27. Quasi-synchronisation of fractional-order memristor-based neural networks with parameter mismatches10.1049/iet-cta.2017.0196 ↗
28. Adaptive sliding mode control
29. Command filter-based adaptive fuzzy control for nonlinear systems with unknown control directions10.1109/TSMC.2019.2911115 ↗
30. State estimation of fractional-order delayed memristive neural networks10.1007/s11071-018-4419-3 ↗
31. Mittag–Leffler stability of fractional order nonlinear dynamic systems10.1016/j.automatica.2009.04.003 ↗
32. 1998
33. 2011
34. Design of a chatter-free terminal sliding mode controller for nonlinear fractional-order dynamical systems10.1080/00207179.2013.796068 ↗
35. Stability analysis of fractional-order neural networks with time delay10.1007/s11063-014-9368-3 ↗
36. Stability and bifurcation of delayed fractional-order dual congestion control algorithms10.1109/tac.2017.2688583 ↗
37. Dynamical analysis of a discrete-time SIS epidemic model on complex networks10.1016/j.aml.2019.03.011 ↗
38. Mixed h∞/l2 − l∞ state estimation for switched genetic regulatory networks subject to packet dropouts: A persistent dwell-time switching mechanism10.1016/j.amc.2019.02.081 ↗
39. Nonfragile finite-time extended dissipative control for a class of uncertain switched neutral systems
40. Finite-time tracking control for stochastic nonlinear systems with full state constraints10.1016/j.amc.2018.05.040 ↗
41. A new smoothing method for solving nonlinear complementarity problems10.1515/math-2019-0011 ↗
42. Stability and bifurcation of a delayed generalized fractional-order prey–predator model with interspecific competition10.1016/j.amc.2018.11.016 ↗
43. Robust h∞ filtering for polytopic uncertain stochastic systems under quantized sampled outputs10.1016/j.amc.2018.11.035 ↗
44. Dynamic analysis of a delayed fractional-order SIR model with saturated incidence and treatment functions10.1142/s0218127418501808 ↗
45. Aperiodically intermittent control for quasi-synchronization of delayed memristive neural networks: An interval matrix and matrix measure combined method10.1109/TSMC.2018.2850157 ↗
46. Existence and convergence results of meromorphic solutions to the equilibrium system with angular velocity10.1186/s13661-019-1197-x ↗
47. New criteria for exponential stability of switched time-varying systems with delays and nonlinear disturbances10.1016/j.nahs.2017.06.007 ↗
48. Global stability problem for feedback control systems of impulsive fractional differential equations on networks10.1016/j.neucom.2015.02.053 ↗
49. Prescribed performance synchronization controller design of fractional-order chaotic systems: An adaptive neural network control approach10.1063/1.4978393 ↗
50. Stabilization of evolutionary networked games with length-r information10.1016/j.amc.2018.05.027 ↗
51. Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme10.1016/j.amc.2019.03.037 ↗
52. Stability and Hopf bifurcation of a three-neuron network with multiple discrete and distributed delays10.1007/s11063-017-9754-8 ↗
53. Global stabilization of fractional-order memristor-based neural networks with time delay10.1109/TNNLS.2019.2915353 ↗
54. Observation of alternately localized Faraday waves in a narrow tank10.1103/physrevfluids.4.014807 ↗