Riccati Differential Equations
Title | Riccati Differential Equations PDF eBook |
Author | Reid |
Publisher | Academic Press |
Pages | 227 |
Release | 1972-08-22 |
Genre | Computers |
ISBN | 0080955959 |
Riccati Differential Equations
The Riccati Equation
Title | The Riccati Equation PDF eBook |
Author | Sergio Bittanti |
Publisher | Springer Science & Business Media |
Pages | 346 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 3642582230 |
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.
Matrix Riccati Equations in Control and Systems Theory
Title | Matrix Riccati Equations in Control and Systems Theory PDF eBook |
Author | Hisham Abou-Kandil |
Publisher | Birkhäuser |
Pages | 584 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 3034880812 |
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.
Riccati Equations
Title | Riccati Equations PDF eBook |
Author | Aleksandr Ivanovič Egorov |
Publisher | Pensoft Publishers |
Pages | 390 |
Release | 2007 |
Genre | Mathematics |
ISBN | 9789546422965 |
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.
Matrix Riccati Differential Equations
Title | Matrix Riccati Differential Equations PDF eBook |
Author | Gerhard Jank |
Publisher | |
Pages | 122 |
Release | 2005 |
Genre | Differential equations |
ISBN |
Handbook of Mathematical Functions
Title | Handbook of Mathematical Functions PDF eBook |
Author | Milton Abramowitz |
Publisher | Courier Corporation |
Pages | 1068 |
Release | 1965-01-01 |
Genre | Mathematics |
ISBN | 9780486612720 |
An extensive summary of mathematical functions that occur in physical and engineering problems
Riccati Differential Equations
Title | Riccati Differential Equations PDF eBook |
Author | William Thomas Reid |
Publisher | |
Pages | 240 |
Release | 1972 |
Genre | Differential equations |
ISBN |