Won, Chang-Hee <br/><br/>
Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics  A Tribute to Michael K. Sain/  [electronic resource]: 
edited by Chang-Hee Won, Cheryl B. Schrader, Anthony N. Michel. 
 - Boston:  Birkhäuser Boston:  Imprint: Birkhäuser,  2008. 
 - XVIII, 366 p. 59 illus.  digital. 
 - Systems & Control: Foundations & Applications .
 - Systems & Control: Foundations & Applications .
<br/><br/>Preface -- Part I. Statistical Control -- Survey of Statistical Control -- Infinite Horizon Minimal Cost Variance Control -- Discrete Time Statistical Control -- Multi-objective Statistical Control -- Cost Cumulant Games -- Part II. Algebraic System Theory -- Modules of Zeroes in Linear Multivariate Systems -- Zeros in Linear Time-Delay Systems -- Semimodule Morphic Systems -- Part III. Dynamic System Characteristics -- Discontinuous Dynamical Systems -- Decentralized Control -- Direct Optimal Adaptive Control -- Nonlinear Dynamic Systems with Limited Information -- Part IV. Engineering Applications and Education -- Structural Control Systems Using Hybrid Simulation -- Biomedical Applications -- Automotive Engineering -- Engineering Education -- Index . 
<br/><br/> 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 . 
<br/><br/><label>ISBN: </label>9780817647957 
<br/><br/><label>Standard No.: </label>10.1007/978-0-8176-4795-7  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics<br/>Differentiable dynamical systems.<br/>Systems Theory.<br/>Mathematical optimization<br/>Mathematics<br/>Systems Theory, Control<br/>Control, Robotics, Mechatronics<br/>Calculus of Variations and Optimal Control; Optimization<br/>APPLICATIONS OF MATHEMATICS.<br/>Game Theory, Economics, Social and Behav. Sciences<br/>Dynamical Systems and Ergodic Theory
<br/><br/><label>Dewey Class. No.: </label>519