A two-level neurodynamic approach for heterogeneous networked game under event-triggered quantized mechanism

Game theory provides important theoretical and methodological support for the application expansion of deep learning in complex interaction scenarios, multi-player systems and other aspects. Networked game as a key problem has been investigated in this paper. Since it is inevitable for neighbor players to communicate with each other, key challenges in practical applications is to reduce the communication cost and improve the convergence rate. Also, as the fast development of cyber physical system, players need to obey identical intrinsic dynamics. Hence, in this paper, the communication channel is equipped with one-to-one gradient-based event trigger and logarithmic quantizer, which effectively alleviate the communication burden and reduce communication frequency. Moreover, the passivity-based strategies is used to compensate the lack of complete information, while a piecewise time-varying function is introduced to ensure prescribed time convergence. Besides, proper control input is designed for heterogeneous dynamics players to track Nash equilibrium(NE). It is proven by Lyapunov method that the two-level neurodynamic owns convergence within adjustable time. Additionally, Zeno behavior is excluded. Finally, a numerical example of connectivity control problem for autonomous mobile robots is provided to demonstrate the effectiveness of the proposed neurodynamic approach.