Download or read book Properties of Solutions of a Riccati Matrix Differential Equation written by William Thomas Reid and published by . This book was released on 1959 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Properties of Solutions of a Riccati Matrix Differential Equation written by William Thomas Reid and published by . This book was released on 1959 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Riccati Differential Equations written by Reid and published by Academic Press. This book was released on 1972-08-22 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riccati Differential Equations
Download or read book Riccati Equations written by Aleksandr Ivanovič Egorov and published by Pensoft Publishers. This book was released on 2007 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Matrix Riccati Differential Equations written by W. J. Coles and published by . This book was released on 1964 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scalar Riccati equation y' = p(t) Y to the second power + q(t) y+r(t) has the following well-known properties: (I) If one solution is known, the complete solution is obtainable by two quadratures; (II) If two solutions are known, the complete solution is obtainable by one quadrature; (III) The crossratio of any four distinct solutions is constant. The scalar Riccati equation has been generalized to systems. Adoption of one or the other of two particular viewpoints leads to the matrix equations u' = Au - u alpha u (u is n x 1) and Y' = KY + L - YMY - YN (Y is n x m). This paper shows that there is an expression for the complete solution of equations of the first type, and that an expression for the complete solution of equations of the second type can be obtained by quadratures from the complete solution of the first type. Following this, properties corresponding to (II) and (III) are established for the first equation. (Author).
Download or read book Properties and Solutions of the Riccati Differential Equation written by Gary L. Grimes and published by . This book was released on 1970 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Riccati Differential Equations written by Gerhard Jank and published by . This book was released on 2005 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Riccati Equation written by Sergio Bittanti and published by Springer. This book was released on 1991 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Matrix Riccati Equations in Control and Systems Theory written by Hisham Abou-Kandil and published by Birkhäuser. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations written by Ivan Kiguradze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
Download or read book Algebraic Riccati Equations written by Peter Lancaster and published by Clarendon Press. This book was released on 1995-09-07 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Solution of Algebraic Riccati Equations written by Dario A. Bini and published by SIAM. This book was released on 2012-03-31 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Hydrologic Optics written by Rudolph W. Preisendorfer and published by . This book was released on 1976 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Surfaces written by Rudolph W. Preisendorfer and published by . This book was released on 1976 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hydrologic Optics Surfaces written by Rudolph W. Preisendorfer and published by . This book was released on 1976 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics in Science and Engineering written by and published by . This book was released on 1972 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer. This book was released on 2016-09-02 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.
