Communications and Control Engineering

The Riccati Equation

Editors: Bittanti, Sergio, Laub, Alan J., Willems, Jan C. (Eds.)

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About this book

Conceived by Count Jacopo Francesco Riccati more than a quarter of a millennium ago, the Riccati equation has been widely studied in the subsequent centuries. Since its introduction in control theory in the sixties, the matrix Riccati equation has known an impressive range of applications, such as optimal control, H? optimization and robust stabilization, stochastic realization, synthesis of linear passive networks, to name but a few. This book consists of 11 chapters surveying the main concepts and results related to the matrix Riccati equation, both in continuous and discrete time. Theory, applications and numerical algorithms are extensively presented in an expository way. As a foreword, the history and prehistory of the Riccati equation is concisely presented.

Table of contents (11 chapters)

Table of contents (11 chapters)
  • Count Riccati and the Early Days of the Riccati Equation

    Pages 1-10

    Bittanti, Sergio

  • Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A Review

    Pages 11-51

    Lancaster, Peter (et al.)

  • Algebraic Riccati Equation: Hermitian and Definite Solutions

    Pages 53-88

    Kučera, Vladimír

  • A Geometric View of the Matrix Riccati Equation

    Pages 89-112

    Shayman, Mark A.

  • The Geometry of the Matrix Riccati Equation and Associated Eigenvalue Methods

    Pages 113-126

    Martin, Clyde F. (et al.)

Buy this book

eBook $149.00
price for USA in USD
  • ISBN 978-3-642-58223-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-540-53099-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $199.99
price for USA in USD
  • ISBN 978-3-642-63508-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
The Riccati Equation
Editors
  • Sergio Bittanti
  • Alan J. Laub
  • Jan C. Willems
Series Title
Communications and Control Engineering
Copyright
1991
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-58223-3
DOI
10.1007/978-3-642-58223-3
Hardcover ISBN
978-3-540-53099-2
Softcover ISBN
978-3-642-63508-3
Series ISSN
0178-5354
Edition Number
1
Number of Pages
X, 338
Topics