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Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay

Part of the book series: Control Engineering ((CONTRENGIN))

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Abstract

The phenomenon of time delay is a commonplace in almost every scientific discipline. Time delay refers to the amount of time it takes for the matter, energy, or information in a dynamic system to transfer from one place to another or to make their full impact on the system after their emergence. Such a lagging effect causes the change of current state of the system to rely on past values of its state and/or input. For instance, the economic model in [127] reveals that economic growth relies on population growth and technological advancement. In particular, the population growth does not take effect on the economic growth until it transitions to the labor growth, which potentially takes a couple of decades. Similarly, the technological advancement does not boost the economy until the productivity of the workforce is improved through technology innovations. Other examples of time delay in the study of biology, physics, mathematics, and engineering are many, and we will mention a few in the following subsection as examples.

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Notes

  1. 1.

    The Prime Number Theorem: \(\lim _{x\rightarrow \infty }\frac {\pi (x)}{\frac {x}{\log (x)}}=1\).

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  1. Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, USA

    Yusheng Wei & Zongli Lin

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Wei, Y., Lin, Z. (2021). Introduction. In: Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay. Control Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-53429-5_1

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