Advanced Mathematical Tools For Automatic Control Engineers Volume 2

Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Advanced Mathematical Tools for Control Engineers: Volume 1 provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Advanced Mathematical Tools for Control Engineers: Volume 1 provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

This book is designed to serve as a textbook for courses offered to undergraduate students enrolled in Electrical Engineering and related disciplines. The book provides a comprehensive coverage of linear system theory. In this book, the concepts around each topic are well discussed with a full-length presentation of numerical examples. Each example is unique in its way, and it is graded sequentially. This book highlights simple methods for solving problems. Even though, the subject requires a very strong mathematical foundation, wherever possible, rigorous mathematics is simplified for a quick understanding of the basic concepts. The book also includes select numerical problems to test the capability of the students. Time and frequency domain approaches for the analysis and design of linear automatic control systems have been explained using state-space and transfer function models of physical systems. All the chapters include a short theoretical summary of the topic followed by exercises on solving complex problems using MATLAB commands. In addition, each chapter offers a large number of end-of-chapter homework problems. This second edition includes a new chapter on state-space modeling and analysis. Detailed conceptual coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in electrical engineering and related programs.

Discontinuously working elements (on-off controls) are widely used in automatic control systems. From an engineering point of view they are attractive because they are nearly always Simpler, more rugged, and cheaper to build than continuous controls. But prediction of their effects in the controlled system is sometimes so complicated that engineers have avoided discontinuous control where it would have been preferable to continuous control. Originally published in 1953. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

For students or professionals in science, math, or industry--with or without a background in control theory--explains and illustrates the basic concepts underlying the theory, with references to more detailed treatments. Intended as a companion to more traditional approaches, begins with simple concepts such as feedback and stability, and advances to optimization, distributed parameter systems, and other complex ideas. Annotation copyrighted by Book News, Inc., Portland, OR