Introduction to Mathematical Systems Theory

Name: Introduction to Mathematical Systems Theory
Brand: Springer, Berlin
SKU: 9780387357638
Price: 67.62 EUR
Availability: InStock

A Behavioral Approach

Автор: Jan W. Polderman, Jan C. Willems

Език:

Корици: С твърди корици

Издател: Springer, Berlin

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This is a book about modelling, analysis and control of linear time- invariant systems. The book use...

Информация за книгата

Автор

Jan W. Polderman, Jan C. Willems

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2016

страници

424

EAN

9780387357638

Enbook ID

01381999

Издател

Springer, Berlin

Теглоt

762

Размери

155 x 235

Пълно описание

This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. In the first part of the book the structure of the set of trajectories that such dynamical systems generate is analyzed. Conditions are obtained for two systems of differential equations to be equivalent in the sense that they define the same behavior. It is further shown that the trajectories of such linear differential systems can be partitioned in free inputs and bound outputs. In addition the memory structure of the system is analyzed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. In the third part control problems are considered, more specifically stabilization and pole placement questions. This text is suitable for advanced undergraduate or beginning graduate students in mathematics and engineering. It contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

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Introduction to Mathematical Systems Theory

A Behavioral Approach

Информация за книгата

Пълно описание

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