The Riccati Equation

The Riccati Equation

Author: Sergio Bittanti

Publisher: Springer Science & Business Media

ISBN: 9783642582233

Category: Technology & Engineering

Page: 338

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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.
The Riccati Equation
Language: en
Pages: 338
Authors: Sergio Bittanti, Alan J. Laub, Jan C. Willems
Categories: Technology & Engineering
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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?
Continued Fraction Solutions of the Riccati Equation
Language: en
Pages: 21
Authors: E. P. Merkes, W. T. Scott
Categories: Riccati equation
Type: BOOK - Published: 1961 - Publisher:

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Language: en
Pages: 383
Authors: A. I. Egorov
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: Pensoft Publishers

Presents the necessary auxiliary facts from algebra, functional analysis and Lie group analysis. This book illustrates theory with solutions of numerous examples. It also presents the matrix Riccati equations. It deals with theoretical questions concerning matrix and operator equations based on various applied problems from mathematical physics.
Advanced Engineering Mathematics
Language: en
Pages: 1184
Authors: Alan Jeffrey
Categories: Mathematics
Type: BOOK - Published: 2001-06-19 - Publisher: Elsevier

Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to
The Control Handbook
Language: en
Pages: 1566
Authors: William S. Levine
Categories: Technology & Engineering
Type: BOOK - Published: 1996-02-23 - Publisher: CRC Press

This is the biggest, most comprehensive, and most prestigious compilation of articles on control systems imaginable. Every aspect of control is expertly covered, from the mathematical foundations to applications in robot and manipulator control. Never before has such a massive amount of authoritative, detailed, accurate, and well-organized information been available