Mittag-Leffler state estimator design and synchronization analysis for fractional order BAM neural networks with time delays
Journal article
Pratap, A., Dianavinnarasi, J., Raja, R., Rajchakit, G., Cao, J. and Bagdasar, Ovidiu 2019. Mittag-Leffler state estimator design and synchronization analysis for fractional order BAM neural networks with time delays. International Journal of Adaptive Control and Signal Processing. https://doi.org/10.1002/acs.2983
| Authors | Pratap, A., Dianavinnarasi, J., Raja, R., Rajchakit, G., Cao, J. and Bagdasar, Ovidiu |
|---|---|
| Abstract | This paper deals with the extended design of Mittag-Leffler state estimator and adaptive synchronization for fractional order BAM neural networks (FBNNs) with time delays. By the aid of Lyapunov direct approach and Razumikhin-type method a suitable fractional order Lyapunov functional is constructed and a new set of novel sufficient condition are derived to estimate the neuron states via available output measurements such that the ensuring estimator error system is globally Mittag-Leffler stable. Then, the adaptive feedback control rule is designed, under which the considered FBNNs can achieve Mittag-Leffler adaptive synchronization by means of some fractional order inequality techniques. Moreover, the adaptive feedback control may be utilized even when there is no ideal information from the system parameters. Finally, two numerical simulations are given to reveal the effectiveness of the theoretical consequences. |
| Keywords | Mittag-Leffler synchronization; BAM neural networks; Fractional order; Time-delays; Adaptive feedback control |
| Year | 2019 |
| Journal | International Journal of Adaptive Control and Signal Processing |
| Publisher | Wiley InterScience |
| ISSN | 0890-6327 |
| 1099-1115 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1002/acs.2983 |
| Web address (URL) | http://hdl.handle.net/10545/623642 |
| hdl:10545/623642 | |
| Publication dates | 20 Mar 2019 |
| Publication process dates | |
| Deposited | 28 Mar 2019, 15:58 |
| Accepted | 19 Feb 2019 |
| Contributors | University of Derby |
| File | File Access Level Open |
| File |
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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