Introduction to mathematical systems theory (Texts in applied mathematics, Vol. 26) (2^nd Ed.)

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. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. 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. The book contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Preface.- Dynamical Systems.- Introduction.- Models.- The universum and the behavior.- Behavioral equations.- Latent variables.- Dynamical systems.- The basic concept.- Latent variables in dynamical systems.- Linearity and time-invariance.- Dynamical behavioral equations.- Recapitulation .- Notes and references.- Exercises.- Systems defined by Linear Differential Equations.- Notation.