Written by an internationally recognized authority in the field of systems theory, this monograph describes systems theory in the context of infinite dimensional spaces. The book offers engineers a powerful and elegant approach to the study of mathematical system theory using fairly advanced techniques of operator theory in Hilbert spaces, with an emphasis on the theory of invariant subspaces. In addition, mathematicians will appreciate the presentation of system theory as an intellectually exciting field that possesses many interesting problems with some physical intuition as a guide.Appropriate for students with no previous experience of operator theory, the three-part approach covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. The treatment's most significant feature lies in its focus on the centrality of module structure in several settings. Linear algebra, structure of self-adjoint and unitary transformation, and the structure of restricted shift operators are developed in similar ways, with emphasis on the connections between their theorems. Each section concludes with notes and references.

Linear Systems and Operators in Hilbert Space

Science & Math

Fuhrmann, Paul A.

Mathematics

McGraw=Hill

Written by an internationally recognized authority in the field of systems theory, this monograph describes systems theory in the context of infinite dimensional spaces. The book offers engineers a powerful and elegant approach to the study of mathematical system theory using fairly advanced techniques of operator theory in Hilbert spaces, with an emphasis on the theory of invariant subspaces. In addition, mathematicians will appreciate the presentation of system theory as an intellectually exciting field that possesses many interesting problems with some physical intuition as a guide. Appropriate for students with no previous experience of operator theory, the three-part approach covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. The treatment's most significant feature lies in its focus on the centrality of module structure in several settings. Linear algebra, structure of self-adjoint and unitary transformation, and the structure of restricted shift operators are developed in similar ways, with emphasis on the connections between their theorems. Each section concludes with notes and references.

Linear Systems and Operators in Hilbert Space (Dover Books on Mathematics)

Dover Publications

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular.

A Polynomial Approach to Linear Algebra (Universitext)

Reference

Springer

This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in Algebraic System Theory, while Part II serves for a second, advanced, course on linear systems. 
Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. “Mathematics of Networks of Linear Systems” contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.

The Mathematics of Networks of Linear Systems (Universitext)

Helmke, Uwe

See the best price to sell, buy, or rent books by Fuhrmann, Paul A.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Fuhrmann, Paul A.

See the best price to sell, buy, or rent books by Fuhrmann, Paul A.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Linear Systems and Operators in Hilbert Space

Linear Systems and Operators in Hilbert Space (Dover Books on Mathematics)

A Polynomial Approach to Linear Algebra (Universitext)

The Mathematics of Networks of Linear Systems (Universitext)