AI 中文总结
本文提出数据驱动尖峰控制方法，用于分布式$\varepsilon$-纳什均衡寻求，通过鲁棒LMI从数据计算增益并以两种尖峰实现，保证最终界和均衡性能。
AI 中文摘要
本文研究如何将由数据直接合成的反馈律通过尖峰控制实现，同时保留博弈论性能保证。我们考虑由具有未知模型和外部扰动的线性动态智能体所进行的网络博弈中的分布式$\varepsilon$-纳什均衡（NE）寻求问题。博弈的伪梯度被视为调节误差，局部内部模型负责处理由已知外系统生成的信号。然后，利用鲁棒线性矩阵不等式直接从含噪的局部输入-状态数据中计算稳定的模拟反馈增益，而无需辨识智能体动力学。为了仅使用固定权重的尖峰来实现这些增益，我们开发了两种尖峰实现方式。第一种实现使用非交互的漏电积分-发放单元，而第二种实现允许神经元单元之间的重置耦合。在两种情况下，一个连续的辅助坐标将脉冲闭环表示为受有界实现误差驱动的稳定模拟系统。该表示产生了前向完备性、无芝诺行为以及伪梯度的最终界，并受连接架构的显式事件处理条件约束。该界意味着，在有限瞬态之后，智能体的输出对于每个高于有限阈值的$\varepsilon$构成一个$\varepsilon$-纳什均衡。一个航天器编队重构示例说明了数据驱动合成、两种尖峰实现及其实际均衡行为。
英文摘要
This paper studies how a feedback law synthesized directly from data can be realized by spiking control while retaining a game-theoretic performance guarantee. We consider distributed $\varepsilon$-Nash equilibrium (NE) seeking in network games played by linear dynamical agents with unknown models and exogenous disturbances. The pseudo-gradient of the game is treated as a regulated error, and local internal models account for signals generated by known exosystems. Robust linear matrix inequalities are then used to compute stabilizing analogue feedback gains directly from noisy local input-state data, without identifying the agent dynamics. To implement these gains using only fixed-weight spikes, we develop two spiking realizations. The first realization uses non-interacting leaky integrate-and-fire units, while the second permits reset coupling among the neuronal units. In both cases, a continuous auxiliary coordinate exposes the impulsive closed loop as the stable analogue system driven by a bounded implementation error. This representation yields forward completeness, Zeno-freeness, and an ultimate bound on the pseudo-gradient, subject to explicit event-processing conditions for the connected architecture. The bound implies that, after a finite transient, the agents' outputs constitute an $\varepsilon$-NE for every $\varepsilon$ above a finite threshold. A spacecraft formation reconfiguration example illustrates the data-driven synthesis, the two spiking realizations, and their practical equilibrium behavior.
Comments15 pages, 7 figures
