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Author : Reid
Publisher : Academic Press
ISBN 13 : 0080955959
Total Pages : 227 pages
Book Rating : 4.0/5 (89 download)
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
Author : Sergio Bittanti
Publisher : Springer Science & Business Media
ISBN 13 : 3642582230
Total Pages : 346 pages
Book Rating : 4.6/5 (425 download)
Download or read book The Riccati Equation written by Sergio Bittanti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 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.
Author : Hisham Abou-Kandil
Publisher : Birkhäuser
ISBN 13 : 3034880812
Total Pages : 584 pages
Book Rating : 4.0/5 (348 download)
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.
Author : Milton Abramowitz
Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Author : Aleksandr Ivanovič Egorov
Publisher : Pensoft Publishers
ISBN 13 : 9789546422965
Total Pages : 390 pages
Book Rating : 4.4/5 (229 download)
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.
Author : Gerhard Jank
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.3/5 (91 download)
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:
Author : William Thomas Reid
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)
Download or read book Riccati Differential Equations written by William Thomas Reid and published by . This book was released on 1972 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ondrej Dosly
Publisher : Elsevier
ISBN 13 : 0080461239
Total Pages : 533 pages
Book Rating : 4.0/5 (84 download)
Download or read book Half-Linear Differential Equations written by Ondrej Dosly and published by Elsevier. This book was released on 2005-07-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE’s with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations. - The first complete treatment of the qualitative theory of half-linear differential equations. - Comparison of linear and half-linear theory. - Systematic approach to half-linear oscillation and asymptotic theory. - Comprehensive bibliography and index. - Useful as a reference book in the topic.
Author : Dario A. Bini
Publisher : SIAM
ISBN 13 : 1611972086
Total Pages : 261 pages
Book Rating : 4.6/5 (119 download)
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.
Author : William Thomas Reid
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.3/5 (91 download)
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:
Author : I. I. Kolodner
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Riccati and Riccati-like Equations Arising in One-dimensional Diffusion Problems written by I. I. Kolodner and published by . This book was released on 1962 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.I. Zelikin
Publisher : Springer Science & Business Media
ISBN 13 : 3662041367
Total Pages : 296 pages
Book Rating : 4.6/5 (62 download)
Download or read book Control Theory and Optimization I written by M.I. Zelikin and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Irena Lasiecka
Publisher : Springer
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential and Algebraic Riccati Equations with Application to Boundary/point Control Problems written by Irena Lasiecka and published by Springer. This book was released on 1991 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Peter Lancaster
Publisher : Clarendon Press
ISBN 13 : 0191591254
Total Pages : 502 pages
Book Rating : 4.1/5 (915 download)
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.
Author : Dieter Schuch
Publisher : Springer
ISBN 13 : 3319655949
Total Pages : 258 pages
Book Rating : 4.3/5 (196 download)
Download or read book Quantum Theory from a Nonlinear Perspective written by Dieter Schuch and published by Springer. This book was released on 2018-01-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.
Author : Calvin Ahlbrandt
Publisher : Springer
ISBN 13 : 9781475724684
Total Pages : 376 pages
Book Rating : 4.7/5 (246 download)
Download or read book Discrete Hamiltonian Systems written by Calvin Ahlbrandt and published by Springer. This book was released on 2013-03-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. In particular, the material of the chapters on continued fractions (Chapter 2), symplectic systems (Chapter 3), and discrete variational theory (Chapter 4) summarize recent literature. Similarly, the material on transforming Riccati equations presented in Chapter 3 gives a self-contained unification of various forms of Riccati equations. Motivation for our approach to difference equations came from the work of Harris, Vaughan, Hartman, Reid, Patula, Hooker, Erbe & Van, and Bohner.
Author : M.K. Jain
Publisher : New Age International
ISBN 13 : 9788122414615
Total Pages : 848 pages
Book Rating : 4.4/5 (146 download)
Download or read book Numerical Methods For Scientific And Engineering Computation written by M.K. Jain and published by New Age International. This book was released on 2003 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
