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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.
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Editors and Affiliations
Bibliographic Information
Book Title: The Riccati Equation
Editors: Sergio Bittanti, Alan J. Laub, Jan C. Willems
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-3-642-58223-3
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1991
Hardcover ISBN: 978-3-540-53099-2Published: 28 August 1991
Softcover ISBN: 978-3-642-63508-3Published: 23 October 2012
eBook ISBN: 978-3-642-58223-3Published: 06 December 2012
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: X, 338
Topics: Control, Robotics, Mechatronics, Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Mathematical and Computational Engineering, Engineering, general, Communications Engineering, Networks