The Riccati Equation
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The Riccati Equation
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Author : Sergio Bittanti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Riccati Equation written by Sergio Bittanti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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.
Riccati Equations
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Author : Aleksandr Ivanovič Egorov
language : en
Publisher: Pensoft Publishers
Release Date : 2007
Riccati Equations written by Aleksandr Ivanovič Egorov and has been published by Pensoft Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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.
Algebraic Riccati Equations
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Author : Peter Lancaster
language : en
Publisher: Clarendon Press
Release Date : 1995-09-07
Algebraic Riccati Equations written by Peter Lancaster and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-07 with Mathematics categories.
This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an exciting collection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HD*W*w control and total least squares methods.
Matrix Riccati Equations In Control And Systems Theory
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Author : Hisham Abou-Kandil
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Matrix Riccati Equations In Control And Systems Theory written by Hisham Abou-Kandil and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The authors present the theory of symmetric (Hermitian) matrix Riccati equations and contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control. The volume offers a complete treatment of generalized and coupled Riccati equations. It deals with differential, discrete-time, algebraic or periodic symmetric and non-symmetric equations, with special emphasis on those equations appearing in control and systems theory. Extensions to Riccati theory allow to tackle robust control problems in a unified approach. The book makes available classical and recent results to engineers and mathematicians alike. It is accessible to graduate students in mathematics, applied mathematics, control engineering, physics or economics. Researchers working in any of the fields where Riccati equations are used can find the main results with the proper mathematical background.
Control Theory And Optimization I
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Author : M.I. Zelikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Control Theory And Optimization I written by M.I. Zelikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.
Numerical Solution Of Algebraic Riccati Equations
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Author : Dario A. Bini
language : en
Publisher: SIAM
Release Date : 2012-03-31
Numerical Solution Of Algebraic Riccati Equations written by Dario A. Bini and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-31 with Mathematics categories.
This treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars. It is the first book in which nonsymmetric algebraic Riccati equations are treated in a clear and systematic way. Some proofs of theoretical results have been simplified and a unified notation has been adopted. Readers will find a unified discussion of doubling algorithms, which are effective in solving algebraic Riccati equations as well as a detailed description of all classical and advanced algorithms for solving algebraic Riccati equations and their MATLAB codes. This will help the reader gain an understanding of the computational issues and provide ready-to-use implementation of the different solution techniques.
Riccati Differential Equations
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Author : Reid
language : en
Publisher: Academic Press
Release Date : 1972-08-22
Riccati Differential Equations written by Reid and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-08-22 with Mathematics categories.
Riccati Differential Equations
On Riccati And Riccati Like Equations Arising In One Dimensional Diffusion Problems
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Author : I. I. Kolodner
language : en
Publisher:
Release Date : 1962
On Riccati And Riccati Like Equations Arising In One Dimensional Diffusion Problems written by I. I. Kolodner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Differential equations categories.
The Schr Dinger And Riccati Equations
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Author : Serafin Fraga
language : en
Publisher: Springer
Release Date : 1999
The Schr Dinger And Riccati Equations written by Serafin Fraga and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
The linear Schrödinger equation is central to Quantum Chemistry. It is presented within the context of relativistic Quantum Mechanics and analysed both in time-dependent and time-independent forms. The Riccati equation is used to study the one-dimensional Schrödinger equation. The authors develop the Schrödinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schrödinger equation.
Differential And Algebraic Riccati Equations With Application To Boundary Point Control Problems
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Author : Irena Lasiecka
language : en
Publisher: Springer
Release Date : 1991
Differential And Algebraic Riccati Equations With Application To Boundary Point Control Problems written by Irena Lasiecka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
This book provides, in a unified framework, an updated and rather comprehensive treatment contered on the theory of ot- pimal control with quadratic cost functional for abstract linear systems with application to boundary/point control problems for partial differential equations (distributed pa- rameter systems). The book culminates with the analysisof differential and algebraic Riccati equations which arise in the pointwisefe- edback synthesis of the optimal pair. It incorporates the critical topics of optimal irregularity of solutions to mi- xed problems for partial differential equations, exact con- trollability, and uniform feedback stabilization. It covers the main results of the theory - which has reached a consi- derable degree of maturity over the last few years - as well asthe authors' basic philosophy behind it. Moreover, it provides numerous illustrative examples of boundary/point control problems for partial differential equations, where the abstract theory applies. However, in line with the purpose of the manuscript, many technical pro- ofs are referred to in the literature. Thus, the manuscript should prove useful not only to mathematicians and theoreti- cal scientists with expertise in partial differential equa- tions, operator theory, numerical analysis, control theory, etc., but also to those who simple wish to orient themselves with the scope and status of the theory presently available. Both continuous theory and numerical approximation theory thereof are included.