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\begin{document}
\title{\huge\bf Systems and Control:\\ Modeling, Analysis, and Design With Numerical Implementation\\
\bigskip\bigskip{\Large Second Edition}}
%\title{\huge\bf Applied Dynamical Systems}
%\title{\huge\bf Dynamic System Analysis and Design}
%\title{\huge\bf Dynamic System Analysis and Design: A Computational Approach}
%\title{\Huge\bf Systems and Control}
%\title{\huge\bf Dynamical System Modeling, Analysis, and Control}
%\title{\huge\bf EE 675 Lecture Notes}
\author{\Large{Stanislaw H. \.{Z}ak}\\School of Electrical and Computer Engineering\\Purdue University\\West Lafayette, IN 47907}
%\author{\Large{Stanislaw H. \.{Z}ak}\thanks{\copyright 2010 by Stanislaw H. %\.{Z}ak}}
%\author{\vspace*{.5in}by\\
%\Large{\bf Stanislaw H. \.{Z}ak}\\\\
%\Large School of Electrical and Computer Engineering\\
%\Large Purdue University\\
%\Large West Lafayette, IN 47907}
\maketitle
\thispagestyle{empty}
%\pagestyle{empty}
\vspace*{1.75in}
\begin{center}
To\\
J.M.J.
\end{center}
%\clearpage
\pagenumbering{roman}
%\chapter*{Preface}
%\addcontentsline{toc}{chapter}{Preface}
%\section*{Objectives}
%This book presents an introduction to the modeling, analysis, and control of linear and nonlinear dynamical systems. Its objective is to familiarize the reader with the basics of dynamical system theory while, at the same time, equipping him with the tools necessary for control system design. The emphasis is on design in order to show how dynamical system theory fits into practical applications. In particular there is a chapter on the design of proportional-integral-derivative~(PID) controllers as well as a chapter devoted to the model-based predictive control~(MPC) design. In addition there is a chapter presenting a powerful control design tool---the linear matrix inequalities~(LMIs). The above approaches to the controller synthesis are the ``bread and butter'' of control design in industry. Even in chapters that are concerned with analysis, design examples and problems are included wherever possible.
%
%The scope of the book is broad in order to show the multidisciplinary role of dynamics and control. In particular, neural networks, fuzzy systems, and genetic algorithms are presented and an introduction to chaotic systems is provided. Classical methods and techniques of post-modern control engineering, like fuzzy logic, neural networks, and genetic algorithms are presented in a unified fashion.
%%Various methods of a controller design are discussed.
%This book aims to demonstrate how these tools supplement the classical ones.
%
%\section*{Coverage}
%Whenever one wishes to analyze a real world system, the first order of business is the construction of a mathematical model of the system. In this book, we discuss mathematical modeling of systems from mechanical and electrical engineering, as well as from physics and biology. We also construct models of dynamical systems using linguistic descriptions that employ IF-THEN rules.
%
%Two main types of dynamical systems are common in applications: those for which the time variable is discrete and those for which the time variable is continuous. When the time variable is discrete, the dynamics of such systems are usually modeled using difference equations. In the case when the time is continuous, ordinary differential equations are frequently chosen for modeling purposes. Both types of models are considered in the book.
%
%Nonlinear systems are emphasized to acknowledge the critical role that nonlinear phenomena play in science and technology.  The models presented are the ones that can be used to design controllers. They are constructed from the control engineering point of view.  This book is an invitation to the control engineering of complex, nonlinear, dynamical systems using multidisciplinary tools.
%
%Lyapunov's stability theory is used in the analysis of dynamical system models. The objective of the stability analysis is to determine the system behavior without solving the differential, or difference, equations modeling the system. In fact, the Lyapunov theory is used as a unifying medium for the different types of dynamical systems analyzed. In particular, optimal, sliding mode, fuzzy, and chaotic controllers, as well as unknown input observers are all constructed with the aid of the Lyapunov method.
%
%\section*{Changes in the Second Edition}
%Six new chapters were added to this edition. Three chapters are concerned with controller design methods. These chapters make this text more attractive for the reader interested in applications. A chapter on unknown input observers was added to account for recent interest in applying those types of observers in fault detection. A separate chapter collects models of the different dynamical systems that are being referred to throughout the text. Finally, a chapter on linear time-varying (LTV) system was added to make this book also suitable for a first graduate course on dynamical systems. On the other hand, a number of sections in different chapters containing esoteric material at the advanced graduate level were deleted.
%
%
%\section*{Intended Audience}
%This text can be used in a variety of ways. It is suitable for an introductory graduate-level course on systems and control. The text can also be used in an introductory course on nonlinear systems. Finally, it can be used in an introductory course to modern automatic control. No special background is necessary to follow this text beyond basic differential equations and elements of linear algebra. A one semester undergraduate junior level course on feedback systems is all that is needed to enjoy this text. The book is also suitable for self-study. To accomplish this goal, the required mathematical techniques and terminology are reviewed in the Appendix. Depending on the background, the reader may refer to the material in the Appendix as needed.
%
%\section*{Resources}
%
%In addition to worked examples, the book also contains exercises at the end of each chapter. A number of solved problems, as well as the exercises, require the use of a computer. Although there are now many quality software packages available that could be used with this book, MATLAB\footnote{MATLAB is a registered trademark of the MathWorks,~Inc., 24 Prime Park Way, Natick, MA 01760-1500. Phone: 508-647-7000, fax: 508-647-7001, e-mail: info@mathworks.com, http://www.mathworks.com} was chosen because it appears to be the most widely used math-tools program in engineering circles, and it is also popular among science students.
%%Student editions of MATLAB and SIMULINK are sufficient for the worked examples and exercises in this book.
%The solutions manual, with complete solutions to all end-of-chapter exercises, is available from the publisher to the instructors who adopt this book in their courses.
%
%There is a companion web-site for this book, where the current errata are available as well as details of solutions of examples solved in the text along with MATLAB programs used to obtain the solutions.
%%MATLAB m-files of examples solved in the text.
%The URL for the web-site is
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\addcontentsline{toc}{chapter}{Bibliography}
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