Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics [electronic resource] : A Tribute to Michael K. Sain / edited by Chang-Hee Won, Cheryl B. Schrader, Anthony N. Michel.

Statistical Control -- and Literature Survey of Statistical Control: Going Beyond the Mean -- Cumulant Control Systems: The Cost-Variance, Discrete-Time Case -- Statistical Control of Stochastic Systems Incorporating Integral Feedback: Performance Robustness Analysis -- Multi-Cumulant and Pareto Solutions for Tactics Change Prediction and Performance Analysis in Stochastic Multi-Team Noncooperative Games -- A Multiobjective Cumulant Control Problem -- Algebraic Systems Theory -- Systems over a Semiring: Realization and Decoupling -- Modules of Zeros for Linear Multivariable Systems -- Zeros in Linear Time-Delay Systems -- Dynamical System Characteristics -- On the Status of the Stability Theory of Discontinuous Dynamical Systems -- Direct Adaptive Optimal Control: Biologically Inspired Feedback Control -- Characterization and Calculation of Approximate Decentralized Fixed Modes (ADFMs) -- Some New Nonlinear and Symbol Manipulation Techniques to Mitigate Adverse Effects of High PAPR in OFDM Wireless Communications -- Homogeneous Domination and the Decentralized Control Problem for Nonlinear System Stabilization -- Volterra Control Synthesis -- Engineering Education -- The First Professional Degree: Master of Engineering? -- Theology and Engineering: A Conversation in Two Languages.

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.