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Entropies and Capacities in Networked Control Systems

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Analysis and Design of Networked Control Systems

Part of the book series: Communications and Control Engineering ((CCE))

Abstract

In this chapter, we introduce some basic concepts and results in communication and information theories.

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Notes

  1. 1.

    Intuitively, the asymptotic equipartition property indicates that “almost all events are almost equally surprising”; see, e.g., Chap. 3 of [1] for more details.

  2. 2.

    We note that, for the erasure channel model considered in the control community, e.g., [7], the data is lost in the unit of packet (a collection of bits) rather than bit.

  3. 3.

    Note that transmission rate in information theory [1] is defined as the rate at which information is processed by a transmission facility. Its unit is usually expressed as bits per second.

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Authors and Affiliations

  1. Department of Automation, Tsinghua University, Beijing, China

    Keyou You

  2. Future Urban Mobility Interdisciplinary Research Group, Singapore-MIT Alliance for Research and Technology Centre, Singapore, Singapore

    Nan Xiao

  3. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lihua Xie

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  1. Keyou You
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  2. Nan Xiao
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  3. Lihua Xie
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Correspondence to Keyou You .

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You, K., Xiao, N., Xie, L. (2015). Entropies and Capacities in Networked Control Systems. In: Analysis and Design of Networked Control Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-6615-3_2

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