Partial Differential Control Theory

Name: Partial Differential Control Theory
Brand: Springer Netherlands
SKU: 9789401038454
Price: 1216.93 RON
Availability: InStock

Volume I: Mathematical Tools, Volume II: Control System

Autor: J.-F. Pommaret

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Editura: Springer Netherlands

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The mathematical theory of "open" dynamical systems is a creation of the twentieth century. Its humb...

Informații despre carte

Autor

J.-F. Pommaret

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2014

Pagini

957

EAN

9789401038454

ISBN

9401038457

Enbook ID

05323245

Editura

Springer Netherlands

Greutate

1454

Dimensiuni

155 x 235 x 48

Descriere completă

The mathematical theory of "open" dynamical systems is a creation of the twentieth century. Its humble beginnings focused on ideas of Laplace transforms applied to linear problems of automatic control and to the analysis and synthesis of electrical circuits. However during the second half of the century, it flowered into a field based on an array of sophisticated mathematical concepts and techniques from algebra, nonlinear analysis and differential geometry. The central notion is that of a dynamical system that exchanges matter, energy, or information with its surroundings, i.e. an "open" dynamical system. The mathema tization of this notion evolved considerably over the years. The early development centered around the input/output point of view and led to important results, particularly in controller design. Thinking about open systems as a "black box" that accepts stimuli and produces responses has had a wide influence also in areas outside engineering, for example in biology, psychology, and economics. In the early 1960's, especially through the work of Kalman, input/state/output models came in vogue. This model class accommodates very nicely the internal initial conditions that are essentially always present in a dynamical system. The introduction of input/state/output models led to a tempestuous development that made systems and control into a mature discipline with a wide range of concepts, results, algorithms, and applications.

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Partial Differential Control Theory

Volume I: Mathematical Tools, Volume II: Control System

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