Abstract | Keywords | Export | Availability | Bookmark

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematics. --- Systems Theory, Control. --- Control, Robotics, Mechatronics. --- Calculus of Variations and Optimal Control; Optimization. --- Applications of Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Dynamical Systems and Ergodic Theory. --- Differentiable dynamical systems. --- Systems theory. --- Mathematical optimization. --- Mathématiques --- Dynamique différentiable --- Optimisation mathématique --- Nonlinear control theory. --- Stochastic control theory. --- System analysis. --- Stochastic control theory --- Nonlinear control theory --- System analysis --- Differentiable dynamical systems --- Civil & Environmental Engineering --- Operations Research --- Engineering & Applied Sciences --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Network theory --- Systems analysis --- Algebra. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Calculus of variations. --- Probabilities. --- Control engineering. --- Robotics. --- Mechatronics. --- Probability Theory and Stochastic Processes. --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Network analysis --- Network science --- System theory --- Mathematical optimization --- Control theory --- Nonlinear theories --- Stochastic processes --- Distribution (Probability theory. --- Systems, Theory of --- Systems science --- Science --- Math --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- Mathematics --- Philosophy --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Engineering --- Engineering analysis --- Control engineering --- Control equipment --- Engineering instruments --- Programmable controllers --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Isoperimetrical problems --- Variations, Calculus of