Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering: An Approach Based on Symmetry and Similarity: 14 (Studies in Systems, Decision and Control, 14) - Softcover

Nava, Jaime; Kreinovich, Vladik

Softcover

ISBN 10: 3662511592 ISBN 13: 9783662511596

Publisher: Springer, 2016

Synopsis

This book demonstrates how to describe and analyze a system's behavior and extract the desired prediction and control algorithms from this analysis. A typical prediction is based on observing similar situations in the past, knowing the outcomes of these past situations, and expecting that the future outcome of the current situation will be similar to these past observed outcomes. In mathematical terms, similarity corresponds to symmetry, and similarity of outcomes to invariance.

This book shows how symmetries can be used in all classes of algorithmic problems of sciences and engineering: from analysis to prediction to control. Applications cover chemistry, geosciences, intelligent control, neural networks, quantum physics, and thermal physics. Specifically, it is shown how the approach based on symmetry and similarity can be used in the analysis of real-life systems, in the algorithms of prediction, and in the algorithms of control.

About this title

From the Back Cover

This book demonstrates how to describe and analyze a

system's behavior and extract the desired prediction and control

algorithms from this analysis. A typical prediction is based on observing similar

situations in the past, knowing the outcomes of these past

situations, and expecting that the future outcome of the current

situation will be similar to these past observed outcomes. In

mathematical terms, similarity corresponds to symmetry, and

similarity of outcomes to invariance.

This book shows how symmetries can be used in all classes of algorithmic problems of

sciences and engineering: from analysis to prediction to control.

Applications cover chemistry, geosciences, intelligent control,

neural networks, quantum physics, and thermal physics.

Specifically, it is shown how the approach based

on symmetry and similarity can be used in the analysis of real-life systems, in the

algorithms of prediction, and in the algorithms of control.

Edition details

• Publisher: Springer
• Publication date: 2016
• Language: English
• ISBN 10: 3662511592
• ISBN 13: 9783662511596
• Binding: Paperback
• Number of pages: 163