Synchronization of a network composed of Hindmarsh-Rose neurons with stochastic disturbances

0548979 - ÚTIA 2022 RIV NL eng C - Conference Paper (international conference)
Rehák, Branislav - Lynnyk, Volodymyr
Synchronization of a network composed of Hindmarsh-Rose neurons with stochastic disturbances.
IFAC-PapersOnLine.Volume 54, Issue 17 - 6th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2021. Amsterdam: Elsevier, 2021, s. 65-70. ISSN 2405-8963.
[IFAC Hybrid Conference on Analysis and Control of Chaotic Systems Catania September (CHAOS 2021) /6./. Catania (IT), 27.09.2021-29.09.2021]
R&D Projects: GA ČR(CZ) GA19-07635S
Institutional support: RVO:67985556
Keywords : Hindmarsh Rose neuron * Multi-agent system * Stochastic retarded system
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
http://library.utia.cas.cz/separaty/2021/TR/rehak-0548979.pdf

In the paper, an algorithm for synchronization of a neural network composed of interconnected Hindmarsh-Rose neurons is proposed. The interconnections of the neurons are subject to delays and an additive noise is present. The convex optimization is the tool for finding the synchronization control, the result is formulated using linear matrix inequalities. The synchronization of the recovery and adaptation variables is also guaranteed thanks to the minimum-phase property of the Hindmarsch-Rose neuron. An example illustrates the results.
Permanent Link: http://hdl.handle.net/11104/0325118