Functional Analysis and Linear Control Theory

 
9780124110335: Functional Analysis and Linear Control Theory

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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Ultrasound has found an increasing number of applications in recent years due to greatly increased computing power. Ultrasound devices are often preferred over other devices because of their lower cost, portability, and non-invasive nature. Patients using ultrasound can avoid the dangers of radiological imaging devices such as x-rays, CT scans, and radioactive media injections. Ultrasound is also a preferred and practical method of detecting material fatique and defects in metals, composites, semiconductors, wood, etc.Detailed appendices contain useful formulas and their derivations, technical details of relevant theories The FAQ format is used where a concept in one answer leads to a new Q A

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J. R. Leigh
Published by Academic Press
ISBN 10: 0124110339 ISBN 13: 9780124110335
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Revaluation Books
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Book Description Academic Press. Paperback. Book Condition: Brand New. 170 pages. 9.00x6.00x0.39 inches. In Stock. Bookseller Inventory # zk0124110339

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