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Linear Dynamic Systems and Signals
Zoran Gajic, Rutgers University

ISBN-10: 0201618540
ISBN-13: 9780201618549

Publisher: Prentice Hall
Copyright: 2003
Format: Paper; 646 pp
Published: 08/07/2002

Suggested retail price: $148.80
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For sophomore- and junior-level courses in Linear Systems and Signals for electrical engineering, biomedical engineering or mechanical engineering majors.

The author's experience teaching undergraduate- and graduate-level linear systems courses for more than 15 years is reflected in this comprehensive text. It contains detailed linear system theory essentials and presents and develops the unified techniques to recognize and solve linear dynamical system problems regardless of their origin. With this text, students will be well equipped to cope with all types of linear dynamic system problems that may be encountered.

  • The Author's Web site, http://www.ece.rutgers.edu/~gajic/systems.html—Includes the following supplements for the instructor: a Solutions Manual; Solutions to MATLAB Laboratory Experiments; Power Point Slides; PDF-Transparences. Matlab programs and data can be downloaded by the student from the Author's Web site.
  • State space techniques—Extensive coverage of the state space technique in both continuous and discrete-time domains.
    • Provides students with the most up-to-date information on the advances in the field.

  • Solid foundation on linear dynamic systems and corresponding systems.
    • Enables all engineering students to cope with all kinds of linear dynamic system problems, especially those encountered in the follow-up junior/senior engineering courses in controls, robotics, dynamics, signal processing, networking, communications, electrical circuits, electronics, and bioengineering.

  • Parallels continuous- and discrete-time linear systems throughout the text.
    • Helps students to grasp the similarities and differences of each, making the systems easier to understand.

  • Important linear systems concepts are introduced first in the frequency domain.
    • Helps students master the fundamentals before delving into more complex concepts.

  • Examples and problems throughout the text—Most problems are analytical with many real world examples studied.
  • A laboratory experiment is presented after each chapter.
    • Provides students with the opportunity for direct application of text material and demonstrates the theoretical results on numerous real world linear systems taken from electrical, mechanical, aerospace, and biomedical engineering practice.

  • Companion Website—Includes the MATLAB programs and numerical data from the text at www.ece.rutgers.edu/~ gajic/systems.html.
    • Gives students instant access to additional resources and supplementary information.

  • Three-part organization—The text is divided into three major parts: Part I covers frequency-domain approach to linear dynamic systems, Part II covers the time-domain approach to linear dynamic systems, and Part III discusses the linear system approach to electrical engineering.
    • Allows instructors the flexibility to focus on the subject matter as it pertains to the needs of the class without having to wade through more advanced topics.



Preface.


1. Introduction to Linear Systems.

1.1 Continuous and Discrete Linear Systems and Signals. 1.2 System Linearity and Time Invariance. 1.3 Mathematical Modeling of Systems. 1.4 System Classification. 1.5 MATLAB System Computer Analysis and Design. 1.6 Book Organization. 1.7 Chapter One Summary. 1.8 References. 1.9 Problems.



2. Introduction to Signals.

2.1 Common Signals in Linear Systems. 2.2 Signal Operations. 2.3 Signal Classification. 2.4 MATLAB Laboratory Experiment on Signals. 2.5 Chapter Two Summary. 2.6 References. 2.7 Problems.

I. FREQUENCY DOMAIN TECHNIQUES.

3. Fourier Series and Fourier Transform.

3.1 Fourier Series. 3.2 Fourier Transform and Its Properties. 3.3 Fourier Transform in System Analysis. 3.4 Fourier Series in Systems Analysis. 3.5 From Fourier Transform to Laplace Transform. 3.6 Fourier Analysis MATLAB Laboratory Experiment. 3.7 Chapter Three Summary. 3.8 References. 3.9 Problems.

4. Laplace Transform.

4.1 Laplace Transform and Its Properties. 4.2 Inverse Laplace Transform. 4.3 Laplace Transform in Linear System Analysis. 4.4 Block Diagrams. 4.5 From Laplace to the z-Transform. 4.6 MATLAB Laboratory Experiment. 4.7 Chapter Four Summary. 4.8 References. 4.9 Problems.

5. The z Transform.

5.1 The z Transform and Its Properties. 5.2 Inverse of the z Transform. 5.3 The z Transform in Linear System Analysis. 5.4 Block Diagram. 5.5 Discrete-Time Frequency Spectra. 5.6 MATLAB Laboratory Experiment. 5.7 Chapter Five Summary. 5.8 References. 5.9 Problems.

II. TIME DOMAIN TECHNIQUES.

6. Convolution.

6.1 Convolution of Continuous-Time Signals. 6.2 Convolution for Linear Continuous-Time Systems. 6.3 Convolution of Discrete-Time Signals. 6.4 Convolution for Linear Discrete-Time Systems. 6.5 Numerical Convolution Using MATLAB. 6.6 MATLAB Laboratory Experiments on Convolution. 6.7 Chapter Six Summary. 6.8 References. 6.9 Problems.

7. System Response in Time Domain.

7.1 Solving Linear Differential Equations. 7.2 Solving Linear Difference Equations. 7.3 Discrete-Time System Impulse Response. 7.4 Continuous-Time System Impulse Response. 7.5 Complete Continuous-Time System Response. 7.6 Complete Discrete-Time System Response. 7.7 Stability of Continuous-Time Linear Systems. 7.8 Stability of Discrete-Time Linear Systems. 7.9 MATLAB Experiment on Continuous-Time Systems. 7.10 MATLAB Experiment on Discrete-Time Systems. 7.11 Chapter Seven Summary. 7.12 References. 7.13 Problems.

8. State Space Approach.

8.1 State Space Models. 8.2 Time Response from the State Equation. 8.3 Discrete-Time Models. 8.4 System Characteristic Equation and Eigenvalues. 8.5 Cayley-Hamilton Theorem. 8.6 Linearization of Nonlinear System. 8.7 State Space MATLAB Laboratory Experiments. 8.8 Chapter Eight Summary. 8.9 References. 8.10 Problems.

III. SYSTEMS IN ELECTRICAL ENGINEERING.

9. Signals in Digital Signal Processing.

9.1 Sampling Theorem. 9.2 Discrete-Time Fourier Transform (DFDT). 9.3 Double Sided z-Transform. 9.4 Discrete Fourier Transform. 9.5 Discrete-Time Fourier Series. 9.6 Correlation of Discrete-Time Signals. 9.7 FIR and IIR Filters. 9.8 Laboratory Experiment on Digital Signal Processing. 9.9 Chapter Nine Summary. 9.10 References. 9.11 Problems.

10. Signals in Communication Systems.

10.1 Signal Transmission in Communications. 10.2 Signal Correlation, Energy and Power Spectra. 10.3 Hilbert Transform. 10.4 Ideal Filter. 10.5 Modulation and Demodulation. 10.6 Digital Communication System. 10.7 Communication Systems Laboratory Experiment. 10.8 Chapter Ten Summary. 10.9 References. 10.10 Problems.

11. Linear Electric Circuits.

11.1 Basic Relations. 11.2 First-Order Linear Electrical Circuits. 11.3 Second-Order Linear Electrical Circuits. 11.4 Higher-Order Linear Electrical Circuits. 11.5 Chapter Eleven Summary. 11.6 References. 11.7 MATLAB Laboratory Experiment. 11.8 Problems.

12. Linear Controls Systems.

12.1 The Essence of Feedback. 12.2 Transient Response of Second-Order Systems. 12.3 Feedback System Steady State Errors. 12.4 Feedback System Frequency Characteristics. 12.5 Bode Diagrams. 12.6 Common Dynamic Controllers: PD, PI, PID. 12.7 Laboratory Experiment on Control Systems. 12.8 Chapter Twelve Summary. 12.9 References. 12.10 Problems.

Appendices.

A. Linear Algebra. B. Some Results from Calculus. C. Introduction to MATLAB. D. Introduction to SIMULINK.

Index.

Zoran Gajic. Professor Zoran Gajic has been teaching linear systems, controls, and networking courses in the Electrical and Computer Engineering Department at Rutgers University, New Jersey since 1984. He is the author or coauthor of more than fifty journal papers, primarily published in IEEE Transactions on Automatic Control and IFAC Automatica journals, and seven books in the fields of linear and bilinear control systems published by Academic Press, Prentice Hall International, Marcel Dekker, and Springer Verlag. Professor Gajic has delivered two plenary lectures at international conferences and presented almost 100 conference papers. He serves on the editorial board of the journal Dynamics of Continuous, Discrete, and Impulsive Systems, and has been a guest editor of a special issue of that journal, on control systems technology. Professor Gajic received the B.S. and M.S. degrees in Electrical Engineering from the University of Belgrade, and the M.S. degree in Applied Mathematics and the Ph.D. degree in Systems Science Engineering from Michigan State University. He is a life master of the U.S. Chess Federation and a master of the World Chess Federation.

This book, intended for the sophomore junior level, presents both continuous- and discrete-time linear systems and signals. Divided into three major parts:

  • Frequency-domain approach to linear dynamic systems and signals
  • Time-domain approach to linear dynamic systems
  • Linear systems and signals approach to electrical engineering (digital signal processing, communications, electrical circuits, and control systems)
Key Features:
  • Flexible organization
  • All linear system concepts are introduced in the frequency domain and then interpreted in the time domain
  • Requires only elementary knowledge of linear algebra and differential equations
  • Detailed coverage of the frequency domain transforms
  • Detailed coverage of the convolution concept
  • Detailed coverage of the state-space technique
  • Self-study guide on linear dynamics systems and signals provides the foundation for other junior-senior courses in engineering (electrical, computer, biomedical, mechanical, and aerospace)
  • MATLAB laboratory experiments after each chapter
  • Numerous real-world examples from diverse areas of engineering: electrical, mechanical, biomedical, aerospace, industrial, computer networks and economics
  • Companion Web site contains all MATLAB programs and numerical data for examples, problems, and MATLAB-oriented laboratory experiments

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