On a Class of Rational Matrix Differential Equations Arising in Stochastic Control

On a Class of Rational Matrix Differential Equations Arising in Stochastic Control PDF Author: Gerhard Freiling
Publisher:
ISBN:
Category :
Languages : en
Pages : 23

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Rational Matrix Equations in Stochastic Control

Rational Matrix Equations in Stochastic Control PDF Author: Tobias Damm
Publisher: Springer Science & Business Media
ISBN: 9783540205166
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This book is the first comprehensive treatment of rational matrix equations in stochastic systems, including various aspects of the field, previously unpublished results and explicit examples. Topics include modelling with stochastic differential equations, stochastic stability, reformulation of stochastic control problems, analysis of the rational matrix equation and numerical solutions. Primarily a survey in character, this monograph is intended for researchers, graduate students and engineers in control theory and applied linear algebra.

Analysis and Optimization of Differential Systems

Analysis and Optimization of Differential Systems PDF Author: Viorel Barbu
Publisher: Springer
ISBN: 0387356908
Category : Mathematics
Languages : en
Pages : 449

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Book Description
Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Systems of Matrix Rational Differential Equations Arising in Connection with Linear Stochastic Systems with Markovian Jumping

Systems of Matrix Rational Differential Equations Arising in Connection with Linear Stochastic Systems with Markovian Jumping PDF Author: Vasile Dragan
Publisher:
ISBN:
Category :
Languages : en
Pages : 43

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Mathematical Methods in Robust Control of Linear Stochastic Systems

Mathematical Methods in Robust Control of Linear Stochastic Systems PDF Author: Vasile Dragan
Publisher: Springer Science & Business Media
ISBN: 0387359249
Category : Science
Languages : en
Pages : 320

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Book Description
The book covers the necessary pre-requisites from probability theory, stochastic processes, stochastic integrals and stochastic differential equations. It includes detailed treatment of the fundamental properties of stochastic systems subjected both to multiplicative white noise and to jump Markovian perturbations. Systematic presentation leads the reader in a natural way to the original results. New theoretical results accompanied by detailed numerical examples, and the book proposes new numerical algorithms to solve coupled matrix algebraic Riccati equations.

Applied Stochastic Differential Equations

Applied Stochastic Differential Equations PDF Author: Simo Särkkä
Publisher: Cambridge University Press
ISBN: 1316510085
Category : Business & Economics
Languages : en
Pages : 327

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Book Description
With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Matrix Riccati Equations in Control and Systems Theory

Matrix Riccati Equations in Control and Systems Theory PDF Author: Hisham Abou-Kandil
Publisher: Birkhäuser
ISBN: 3034880812
Category : Science
Languages : en
Pages : 584

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Book Description
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.

Positive Systems

Positive Systems PDF Author: Rafael Bru
Publisher: Springer
ISBN: 3642028942
Category : Technology & Engineering
Languages : en
Pages : 385

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Book Description
This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.

Stochastic Differential Systems, Stochastic Control Theory and Applications

Stochastic Differential Systems, Stochastic Control Theory and Applications PDF Author: Wendell Fleming
Publisher: Springer Science & Business Media
ISBN: 1461387620
Category : Mathematics
Languages : en
Pages : 601

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Book Description
This IMA Volume in Mathematics and its Applications STOCHASTIC DIFFERENTIAL SYSTEMS, STOCHASTIC CONTROL THEORY AND APPLICATIONS is the proceedings of a workshop which was an integral part of the 1986-87 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) WendeIl Flerning Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We es pecially thank WendeIl Fleming and Pierre-Louis Lions for organizing an interesting and productive workshop in an area in which mathematics is beginning to make significant contributions to real-world problems. George R. Seil Hans Weinberger PREFACE This volume is the Proceedings of a Workshop on Stochastic Differential Systems, Stochastic Control Theory, and Applications held at IMA June 9-19,1986. The Workshop Program Commit tee consisted of W.H. Fleming and P.-L. Lions (co-chairmen), J. Baras, B. Hajek, J.M. Harrison, and H. Sussmann. The Workshop emphasized topics in the following four areas. (1) Mathematical theory of stochastic differential systems, stochastic control and nonlinear filtering for Markov diffusion processes. Connections with partial differential equations. (2) Applications of stochastic differential system theory, in engineering and management sci ence. Adaptive control of Markov processes. Advanced computational methods in stochas tic control and nonlinear filtering. (3) Stochastic scheduling, queueing networks, and related topics. Flow control, multiarm bandit problems, applications to problems of computer networks and scheduling of complex manufacturing operations.

Introduction To Differential Equations, An: Stochastic Modeling, Methods And Analysis (Volume 2)

Introduction To Differential Equations, An: Stochastic Modeling, Methods And Analysis (Volume 2) PDF Author: Anilchandra G Ladde
Publisher: World Scientific Publishing Company
ISBN: 9814397393
Category : Mathematics
Languages : en
Pages : 634

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Book Description
Volume 1: Deterministic Modeling, Methods and Analysis For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. The advancement of knowledge in stochastic differential equations is spreading rapidly across the graduate and postgraduate programs in universities around the globe. This will be the first available book that can be used in any undergraduate/graduate stochastic modeling/applied mathematics courses and that can be used by an interdisciplinary researcher with a minimal academic background. An Introduction to Differential Equations: Volume 2 is a stochastic version of Volume 1 (“An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis”). Both books have a similar design, but naturally, differ by calculi. Again, both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus. Errata Errata (32 KB)