Functional Analysis and Linear Control Theory (Dover Books on Engineering) - Softcover

Leigh, J R

 
9780486458137: Functional Analysis and Linear Control Theory (Dover Books on Engineering)

Inhaltsangabe

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.

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Reseña del editor

Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text, geared toward engineering students, demonstrates the subject's unity. A wide range of powerful theorems illustrates inner product spaces; instability, controllability, and observability; minimum norm and time control; and distributed systems. 1980 edition.

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9780124418806: Functional Analysis and Linear Control Theory (Mathematics in Science & Engineering)

Vorgestellte Ausgabe

ISBN 10:  0124418805 ISBN 13:  9780124418806
Verlag: Academic Press Inc, 1997
Hardcover