线性系统的复杂性:一种基于率失真理论和仿真系统的方法

Eric D. B. Wendel, J. Baillieul, Joseph Hollmann
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引用次数: 0

摘要

我们将连续时间线性系统的复杂性定义为描述其向前增量到所需保真度水平所需的最小位数,并使用这些增量中的高斯不确定性源的速率失真函数来计算该数量。线性系统的复杂性在需要基于采样数据表示的局部和动态决策的控制通信环境中具有相关性。我们将这种复杂性的概念与注意力变化控制器的设计联系起来,并展示了一种通过所谓仿真系统的端点图构建源代码的新方法,具有对未知动态系统进行非参数、基于数据的仿真和分析的潜力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the complexity of linear systems: an approach via rate distortion theory and emulating systems
We define the complexity of a continuous-time linear system to be the minimum number of bits required to describe its forward increments to a desired level of fidelity, and compute this quantity using the rate distortion function of a Gaussian source of uncertainty in those increments. The complexity of a linear system has relevance in control-communications contexts requiring local and dynamic decision-making based on sampled data representations. We relate this notion of complexity to the design of attention-varying controllers, and demonstrate a novel methodology for constructing source codes via the endpoint maps of so-called emulating systems, with potential for non-parametric, data-based simulation and analysis of unknown dynamical systems.
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