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Chaotic synchronization of neuronet-type stochastic complex networks using decentralized differential minimax controllers

ABSTRACT Based on differential minimax control, this paper develops a novel theoretic design to achieve chaotic synchronization of neuronet-type stochastic complex networks that are heavily influenced by noise signals. According… Click to show full abstract

ABSTRACT Based on differential minimax control, this paper develops a novel theoretic design to achieve chaotic synchronization of neuronet-type stochastic complex networks that are heavily influenced by noise signals. According to robust inverse optimality, the proposed method is mathematically formulated by using stochastic Lyapunov technique and the associated Hamilton-Jacobi-Isaacs (HJI) equation, which ensures that the system accomplishes the best rational synchronization in probability, meanwhile, to reduce noises to a predefined level with stability margins. To verify analytical results, a numerical example is given to show the effectiveness of the proposed technique.

Keywords: type stochastic; synchronization neuronet; differential minimax; chaotic synchronization; neuronet type; synchronization

Journal Title: International Journal of General Systems
Year Published: 2022

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