Functional Analysis and Linear Control Theory by J R Leigh

Functional Analysis and Linear Control Theory by J R Leigh

Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text, geared toward engineering students, demonstrates the subject's unity. It features a wide range of powerful theorems that illustrate inner product spaces, instability, controllability, and observability. It also discusses minimum norm and time control as well as distributed systems.
The first chapter offers a brief survey of basic mathematics, followed by chapters that contain most of the mathematics needed later in the book. Subsequent chapters establish axioms for linear dynamic systems, linking the axiomatic description to the state space description. They also consider important structural properties of a given system, the formulation of optimization problems, issues of existence and uniqueness, and the characterization of optimal controls. The final chapter returns to some of the concepts and methods discussed earlier, extending the applications of finite dimensional systems to distributed parameter systems. A comprehensive set of references concludes the text.

Leigh, J. R.: -

Professor Leigh was educated at Sheffield City Grammar School, Sheffield College of Technology (Freshgate Scholarship Prizewinner) and at Cambridge and London Universities, from which he holds higher degrees in both Control Engineering and Pure Mathematics. He has worked in both small and large industrial organisations on the development and application of control systems. His last industrial post was Head of Control Systems Research in the Corporate Engineering Laboratory of the British Steel Corporation. In his current appointment as Post Above Reader in the Polytechnic of Central London, he is concerned with control theory and with industrial control applications. These interests are supported by consultancy on novel control applications, particularly in the biotechnological field. He is an editorial adviser on process control to the journal 'Process Engineering'.

He has published or coauthored over 100 research papers and several books, including 'Essentials of nonlinear control theory', 'Applied control theory', 'Modelling and simulation' and 'Modelling and control of fermentation processes'.

He is active in both the London Biotechnology Centre and in the Institute of Biotechnological Studies of which he is an Honorary Associate. He is a Fellow of the Institution of Electrical Engineers, a Member of the Cambridge University Engineers' Association, a Fellow of the Institute of Mathematics and its Applications and a Member of the London Mathematical Society.

SKU	Unavailable
ISBN 13	9780486458137
ISBN 10	048645813X
Title	Functional Analysis and Linear Control Theory
Author	J R Leigh
Series	Dover Books On Engineering
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2007-04-27
Number of pages	160
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.