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Fast-and-Secure State-Estimation in Dynamic-Control Over Communication Channels: A Game-Theoretical Viewpoint
IEEE Transactions on Signal and Information Processing over Networks ( IF 3.2 ) Pub Date : 2020-08-20 , DOI: 10.1109/tsipn.2020.3018327
Makan Zamanipour

“Control over noisy communication-channels” invented by Sahai-Mitter-and-Tatikonda is a prominent topic. In this context, the latency-and-reliability trade-off is considered by responding to the following: How much fast? How much secure? For a stochastic-mean-field-game (S-MFG), we assign the source-codes as the agents. Additionally, the total-Reward is the Volume of the maximum secure lossy source-coding-rate achievable between a set of Sensors, and the Fusion-Centre (FC) set – including intercepting-Byzantines. The total-Reward is guaranteed by a set of private Helpers. We consider 2 cases for the population in our game: (i) the finite-games-partially-sufficiently-many-agents (FG-PSuMA) case in-accordance with finite-blocklength which causes us to experience $\epsilon$ -equilibria; and (ii) the infinite-games-infinite-agents (IG-IA) case in-correspondence to the Mean-Field-Limit issue. Consequently, we evaluate the steady-state of our S-MFG via a time-varying graph while evaluating the stabilisability through the principles of the Kolmogorov-Distance (K-D) and Nyquist . A novel calculation for the information-flux over the Riemannian-Manifold is also proposed by translating the wavy-wall boundary-conditions. Finally, the correctness of our novelties is evaluated.

中文翻译:

通讯通道动态控制中快速安全的状态估计:一种博弈论的观点

发明了“控制嘈杂的通信通道” 萨海·密特和塔蒂康达是一个突出的话题。在这种情况下,通过响应以下因素来考虑延迟和可靠性之间的权衡:有多快?多少安全?对于随机平均场游戏(S-MFG),我们将源代码分配为代理。此外,总奖励是最大安全有损源编码率在一组传感器和融合中心(FC)组之间(包括拦截拜占庭式)可以实现。总奖励由一组私人帮助者保证。我们在游戏中考虑了2种情况:(i)有限游戏,部分代理,数量足够 (FG-PSuMA)与有限块长不符的情况,这使我们体验到 $ \ epsilon $ 均衡 和(ii)无限游戏无限代理 (IG-IA)案件与 平均场限问题。因此,我们通过时变图评估S-MFG的稳态,同时评估稳定性 通过 柯尔莫哥洛夫距离 (KD)和 奈奎斯特 。通过平移黎曼流形上的信息流,还提出了一种新颖的计算方法。波浪墙边界条件。最后,评估了我们新颖性的正确性。
更新日期:2020-09-11
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