论文标题
远程状态估计问题：沿第二种Lyapunov方法的大道达到数据率限制
Remote state estimation problem: towards the data-rate limit along the avenue of the second Lyapunov method
论文作者
论文摘要
在信息限制下的控制和估计的背景下，恢复熵测量最小所需的数据速率，可以估算系统状态，以便估计质量不会随着时间的推移而降低，相反，可以改善。假定此处的远程观察者通过有限的位率容量的通信渠道接收其数据。在本文中，我们提供了修复熵的新特征，该熵不需要计算任何时间极限，即渐近量。我们的新公式是基于在状态空间上找到特定的riemannian度量的想法，这使得对恢复熵的指标依赖性上限估计很紧。
In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimated so that the estimation quality does not degrade over time and, conversely, can be improved. The remote observer here is assumed to receive its data through a communication channel of finite bit-rate capacity. In this paper, we provide a new characterization of the restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding a specific Riemannian metric on the state space which makes the metric-dependent upper estimate of the restoration entropy as tight as one wishes.
