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Finite Dimensional Linear Systems

Finite Dimensional Linear Systems

Part of Classics in Applied Mathematics

  • Date Published: August 2015
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9781611973877

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  • Originally published in 1969, this classic textbook provides a solid foundation for learning about dynamical systems, and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for fifty years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much applied mathematical analysis, a firm grounding in its central ideas is essential. This book touches upon many standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of examples and many exercises. The book is recommended for first-year graduate students. The topics covered form the core of fields such as optimal control, estimation, stability, electrical networks, and control of distributed systems.

    • Develops the theory of linear systems in a systematic way
    • Touches upon many central topics in applied mathematics, making it essential reading for a wide range of researchers and students
    • Contains many nontrivial examples and exercises to elucidate the theory
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    Product details

    • Date Published: August 2015
    • format: Paperback
    • isbn: 9781611973877
    • length: 260 pages
    • dimensions: 228 x 152 x 15 mm
    • weight: 0.36kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    Preface to the classics edition
    Preface
    1. Linear differential equations
    2. Linear systems
    3. Least squares theory
    4. Stability
    References
    Glossary of notation
    Index.

  • Author

    Roger W. Brockett, Harvard University, Massachusetts
    Roger W. Brockett is the An Wang Research Professor of Electrical Engineering and Computer Science in the School of Engineering and Applied Sciences at Harvard University. He taught for six years in the Electrical Engineering Department at the Massachusetts Institute of Technology before joining the Harvard faculty in 1969. He has contributed to the theory of automatic control with work on stability, nonlinear control, feedback linearization, nonlinear estimation, pole placement, hybrid systems, and robotics. Professor Brockett has been recognized with awards from the American Automatic Control Council, IEEE, ASME, and SIAM for his contributions to research and education. He is a fellow of the IEEE, SIAM, and AMS and is a member of the US National Academy of Engineering.

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