Articles liés à Introduction to Mathematical Systems Theory: A Behavioral...

Introduction to Mathematical Systems Theory: A Behavioral Approach - Couverture souple

Polderman, Jan Willem; Willems, Jan C.

 
9781475729559: Introduction to Mathematical Systems Theory: A Behavioral Approach

Synopsis

Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

This is a book about modelling, analysis and control of linear time invariant systems. It uses the behavioural approach for which the authors are well regarded. It is a suitable text for senior undergraduates or beginning graduate students in mathematics and engineering and contains numerous exercises, including simulation problems and examples, notably of mechanical systems and electrical circuits.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.