This volume is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. 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.

Preface Acknowledgments List of Contributors Part I. Statistical Control Introduction and Literature Survey of Statistical Control: Going Beyond the Mean / Chang-Hee Won, Ronald W. Diersing, adn Stephen Yurkovich Cumulant Control Systems: The Cost-Variance, Discrete-Time Case / Luis Cosenza, Michael K. Sain, Ronald W. Diersing, and Chang-Hee Won Statistical Control of Stochastic Systems Incorporating Integral Feedback: Performance Robustness Analysis / Khanh D. Pham Multi-Cumulant and Pareto Solutions for Tactics Change Prediction and Performance Analysis in Stochastic Multi-Team Noncooperative Games \ Khanh D. Pham, Stanley R. Liberty, and Gang Jin A Multiobjective Cumulant Control Problem \ Ronald W. Diersing, Michael K. Sain, and Chang-Hee Won Part II. Algebraic Systems Theory Systems over a Semiring: Realization and Decoupling / Ying Shang and Michael K. Sain Modules of Zeroes for Linear Multivariable Systems / Cheryl B. Schrader and Bostwick F. Wyman Zeroes in Linear Time-Delay Systems / Giuseppe Conte and Anna Maria Perdon Part III. Dynamic Systems Characteristics On the Status of the Stability Theory of Discontinuous Dynamical Systems \ Anthony N. Michel and Ling Hou Direct Adaptive Optimal Control: Biologically Inspired Feedback Control \ Draguna Vrabie and Frank Lewis Characterization and Calculation of Approximate Decentralized Fixed Modes (ADFMs) \ Edward J. Davison and Amir G. Aghdam Some New Nonlinear and Symbol Manipulation Techniques to Mitigate Adverse Effects of High PAPR in OFDM Wireless Communications \ Byung Moo Lee and Rui J. P. de Figueiredo Homogeneous Domination and the Decentralized Control Problem for Nonlinear System Stabilization \ Jason Polendo, Chunjiang Qian, and Cheryl B. Schrader Volterra Control Synthesis \ Patrick M. Sain Part IV. Engineering Education The First Professional Degree: Master of Engineering? \ Peter Dorato Theology and Engineering: A Conversation in Two Languages \ Barbara K. Sain Publications of Michael K. Sain Index