Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics: A Tribute to Michael K. Sain (Systems & Control: Foundations & Applications)

Authors:Chang-Hee Won, Cheryl B. SchraderAnthony N. Michel
Publisher: Birkhäuser Boston
Keywords: systems, amp, control, michael, sain, foundations, applications, tribute, dynamic, statistical, algebraic, theory, advances, characteristics
Number of Pages: 366
Published: 2008-10-06
List price: $99.00
ISBN-10: 0817647945
ISBN-13: 9780817647940

Book Description:

This volume—dedicated to Michael K. Sain on the occasion of his seventieth birthday—is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts in their respective fields, the chapters are thematically organized into four parts:

* Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants. In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control.

* Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linear multivariable systems, and zeros in linear time-delay systems.

* Part III discusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixed modes, direct optimal adaptive control, and stability of nonlinear systems with limited information.

* Part IV covers engineering education and includes a unique chapter on theology and engineering, one of Sain’s latest research interests.

The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory.


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