Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics

A Tribute to Michael K. Sain

  • Chang-Hee Won
  • Cheryl B. Schrader
  • Anthony N. Michel

Part of the Systems & Control: Foundations & Applications book series (SCFA)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Statistical Control

    1. Front Matter
      Pages 1-1
    2. Chang-Hee Won, Ronald W. Diersing, Stephen Yurkovich
      Pages 3-27
    3. Luis Cosenza, Michael K. Sain, Ronald W. Diersing, Chang-Hee Won
      Pages 29-41
    4. Ronald W. Diersing, Michael K. Sain, Chang-Hee Won
      Pages 99-125
  3. Algebraic Systems Theory

    1. Front Matter
      Pages 1-1
    2. Ying Shang, Michael K. Sain
      Pages 129-143
    3. Cheryl B. Schrader, Bostwick F. Wyman
      Pages 145-158
    4. Giuseppe Conte, Anna Maria Perdon
      Pages 159-169
  4. Dynamical System Characteristics

  5. Engineering Education

    1. Front Matter
      Pages 1-1
  6. Back Matter
    Pages 331-364

About this book


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.


Analysis Statistical Control algebra algebraic systems theory direct o infinite-horizon minimal-cost variance linear multivariable systems multi-objective statistical control optimal cost function stability of discontinuous dynamic system time-delay linear systems

Editors and affiliations

  • Chang-Hee Won
    • 1
  • Cheryl B. Schrader
    • 2
  • Anthony N. Michel
    • 3
  1. 1.Dept. Electrical &, Computer EngineeringTemple University PhiladelphiaU.S.A.
  2. 2.College of EngineeringBoise State UniversityBoiseU.S.A.
  3. 3.Department of Electrical EngineeringUniversity of Notre DameNotre DameU.S.A.

Bibliographic information