https://doi.org/10.1140/epjs/s11734-025-01576-1
Regular Article
Observer-based synchronization in nearest-neighbor and globally coupled complex dynamical networks
Department of Electrical Engineering, National Institute of Technology Meghalaya, Laitumkhrah, 793003, Shillong, Meghalaya, India
Received:
1
May
2024
Accepted:
11
March
2025
Published online:
25
March
2025
This paper puts forward a full-order observer-based synchronization of chaotic systems in the complex dynamical network. Unlike the diagonal coupling scheme, here a single scalar coupling signal is required between any connected nodes in the complex dynamical network. This scalar output is used for interaction between nodes, significantly simplifying the communication and computational overhead in the network. A required Lyapunov stability criterion is derived for the exponential synchronization in the complex dynamical network. This approach results in a nonlinear matrix inequality which is further reformulated into linear matrix inequality (LMI). Two typical coupling configurations are utilized such as global and nearest-neighbor couplings. The recently reported new chaotic system (Singh in A chaotic system with large lyapunov exponent: nonlinear observer design and circuit implementation. In: 3rd International Conference on Energy, Power and Environment: Towards Clean Energy Technologies (ICEPE), NIT Meghalaya, India, 13–15 March, 2021) is implemented and considered for each node of the complex dynamical network. Simulation results are given which show the effectiveness of the proposed scheme. The observer gain matrix is optimized for the scalar output interaction, ensuring synchronization while reducing computational load. Simulation results validate the LMI optimized full order observer design and reveal that the proposed scheme is working satisfactorily.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
