Mixed Time-Delayed Nonlinear Multi-agent Dynamic Systems for Asymptotic Stability and Non-fragile Synchronization Criteria
Journal article
Arockia, Stephen, Raja, R, Alzabut, J, Zhu, Quanxin, Niezabitowski, M and Bagdasar, Ovidiu 2021. Mixed Time-Delayed Nonlinear Multi-agent Dynamic Systems for Asymptotic Stability and Non-fragile Synchronization Criteria. Neural Processing Letters. https://doi.org/10.1007/s11063-021-10619-2
| Authors | Arockia, Stephen, Raja, R, Alzabut, J, Zhu, Quanxin, Niezabitowski, M and Bagdasar, Ovidiu |
|---|---|
| Abstract | In this manuscript, we are concerned with mixed (discrete and distributed) time-delayed both stability and non-fragile synchronization of nonlinear multi-agent systems (MASs). We shall find stability criteria for the unknown parameter value of nonlinear multi-agent systems using the Lyapunov–Krasovskii functions, Lemma, the analytical techniques, the Kronecker product, and the general specifications for asymptotic stability of selected MASs are obtained. Moreover, criteria for the synchronization of leader–follower unknown parameter value of nonlinear MASs with non-fragile controllers are discussed. At last, we provide two numerical calculations along with the computational simulations to check the validity of the theoretical findings reported in this manuscript. |
| Keywords | Multi-agent systems; Linear matrix inequality; Asymptotic stability |
| Year | 2021 |
| Journal | Neural Processing Letters |
| Publisher | Springer |
| ISSN | 1573-773X |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/s11063-021-10619-2 |
| Web address (URL) | http://hdl.handle.net/10545/626090 |
| hdl:10545/626090 | |
| Publication dates | 13 Sep 2021 |
| Publication process dates | |
| Deposited | 10 Nov 2021, 09:35 |
| Accepted | 02 Aug 2021 |
| Contributors | Alagappa University, Karaikudi, India, Prince Sultan University, Riyadh, 12435, Saudi Arabia, OSTİM Technical University, Ankara, 06374, Turkey, Silesian University of Technology, Akademicka 16, Gliwice, 44-100, Poland and University of Derby |
| File | File Access Level Open |
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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