Multi-weighted complex structure on fractional order coupled neural networks with linear coupling delay: a robust synchronization problem
Journal article
Pratap, A., Raja, R., Agarwal, Ravi. P., Cao, J. and Bagdasar, Ovidiu 2020. Multi-weighted complex structure on fractional order coupled neural networks with linear coupling delay: a robust synchronization problem. Neural Processing Letters. https://doi.org/10.1007/s11063-019-10188-5
| Authors | Pratap, A., Raja, R., Agarwal, Ravi. P., Cao, J. and Bagdasar, Ovidiu |
|---|---|
| Abstract | This sequel is concerned with the analysis of robust synchronization for a multi-weighted complex structure on fractional-order coupled neural networks (MWCFCNNs) with linear coupling delays via state feedback controller. Firstly, by means of fractional order comparison principle, suitable Lyapunov method, Kronecker product technique, some famous inequality techniques about fractional order calculus and the basis of interval parameter method, two improved robust asymptotical synchronization analysis, both algebraic method and LMI method, respectively are established via state feedback controller. Secondly, when the parameter uncertainties are ignored, several synchronization criterion are also given to ensure the global asymptotical synchronization of considered MWCFCNNs. Moreover, two type of special cases for global asymptotical synchronization MWCFCNNs with and without linear coupling delays, respectively are investigated. Ultimately, the accuracy and feasibility of obtained synchronization criteria are supported by the given two numerical computer simulations. |
| Keywords | Computer Networks and Communications; Software; General Neuroscience; Artificial Intelligence; Coupled Neural Networks; Robust Synchronization |
| Year | 2020 |
| Journal | Neural Processing Letters |
| Publisher | Springer Science and Business Media LLC |
| ISSN | 1370-4621 |
| 1573-773X | |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/s11063-019-10188-5 |
| Web address (URL) | http://hdl.handle.net/10545/624707 |
| http://www.springer.com/tdm | |
| hdl:10545/624707 | |
| Publication dates | 19 Feb 2020 |
| Publication process dates | |
| Deposited | 16 Apr 2020, 15:59 |
| Accepted | 16 Jan 2020 |
| Contributors | Alagappa University, Karaikudi, Texas A&M University, Southeast University, Nanjing, China and University of Derby |
| File | File Access Level Open |
| File |
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Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the characterization of periodic complex Horadam sequences. Fibonacci Quarterly.On a result of Bunder involving Horadam sequences: A proof and generalization
Larcombe, Peter J. and Bagdasar, Ovidiu 2013. On a result of Bunder involving Horadam sequences: A proof and generalization. Fibonacci Quarterly.Influence discovery in semantic networks: An initial approach
Trovati, M. and Bagdasar, O. 2014. Influence discovery in semantic networks: An initial approach. IEEE. https://doi.org/10.1109/uksim.2014.48Complementary iInequalities involving the Stolarsky Mean
Bagdasar, Ovidiu 2010. Complementary iInequalities involving the Stolarsky Mean. Journal of Inequalities and Applications. https://doi.org/10.1155/2010/492570Concise computer mathematics: tutorials on theory and problems
Bagdasar, Ovidiu 2013. Concise computer mathematics: tutorials on theory and problems. Springer.On the characterization of periodic generalized Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2014. On the characterization of periodic generalized Horadam sequences. Journal of Difference Equations and Applications. https://doi.org/10.1080/10236198.2014.891022Local maximum points of explicitly quasiconvex functions
Bagdasar, Ovidiu and Popovici, Nicolae 2014. Local maximum points of explicitly quasiconvex functions. Optimization Letters. https://doi.org/10.1007/s11590-014-0781-3A horadam-based pseudo-random number generator
Bagdasar, O.D., Chen, M. and Bagdasar, O. 2014. A horadam-based pseudo-random number generator. IEEE. https://doi.org/10.1109/uksim.2014.55On the structure of periodic complex Horadam orbits
Bagdasar, Ovidiu D., Larcombe, Peter J., Anjum, Ashiq and Bagdasar, O. 2016. On the structure of periodic complex Horadam orbits. Carpathian Journal of Mathematics.Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems
Popa, I.-L., Ceauşu, T., Bagdasar, O. and Agarwal, R.P. 2016. Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 27 (2), pp. 153-166. https://doi.org/10.2478/auom-2019-0025On some functions involving the lcm and gcd of integer tuples
Bagdasar, Ovidiu 2014. On some functions involving the lcm and gcd of integer tuples. Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. https://doi.org/10.5937/SPSUNP1402091B