Mathematical systems theory II Control, observation, realization, and feedback Diederich Hinrichsen, Anthony J. Pritchard, Fritz Colonius, Tobias Damm, Achim Ilchmann, Birgit Jacob, Fabian R. Wirth

Format:

Book

Author/Creator:

Hinrichsen, Diederich, 1939- author.

Pritchard, A. J., author.

Colonius, Fritz, author.

Damm, Tobias, author.

Ilchmann, Achim, 1956- author.

Jacob, Birgit, author.

Series:

Texts in applied mathematics ; 85.

Texts in applied mathematics 2196-9949 volume 85

Language:

English

Subjects (All):

System theory--Mathematics.

System theory.

System analysis--Mathematics.

System analysis.

Physical Description:

1 online resource

Other Title:

Control, observation, realization, and feedback

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"This is the second volume of a three-volume treatise which presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed and mathematically rigorous way. The work combines the features of a detailed introductory textbook with those of a reference source. Volume II concentrates on problems of control, measurement and feedback control for time-varying and time-invariant linear systems. Special features are: a comprehensive treatment of controllability and observability; an analysis of reachable sets under bounded controls with applications to the time-optimal control problem; a detailed construction of canonical forms for controllable systems under similarity transformations, including an application of these forms to the topological analysis of system spaces; a new module-theoretic approach to Rosenbrock systems in time domain; an introduction to balancing and model reduction by balanced truncation; an introduction to a general feedback control theory of input-output systems; a detailed treatment of stabilization and observation problems for time-invariant linear systems; a self-contained proof of Rosenbrock’s theorem by state space methods. Throughout the book there are many examples, figures and exercises illustrating the text which help bring out the intuitive ideas behind the mathematical constructions. The book should be accessible to mathematics students after two years of study and also to engineering students with a good mathematical background. It will be of value for researchers in systems theory as well as for mathematicians and engineers who wish to learn about the mathematical foundations of the above topics"-- Springer Nature

Contents:

Controllability and observability

Realization and model reduction

Feedback

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature, viewed January 30, 2026)

Other Format:

Print version Hinrichsen, Diederich Mathematical systems theory

ISBN:

9783032083203

3032083206

OCLC:

1569857991

Access Restriction:

Restricted for use by site license