Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon PDF Download
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Author | : Irena Lasiecka |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2011-04-14 |
Genre | : Mathematics |
ISBN | : 9780521155687 |
Download Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon Book in PDF, ePub and Kindle
Volume II focuses on the optimal control problem over a finite time interval for hyperbolic dynamical systems. The chapters consider some abstract models, each motivated by a particular canonical hyperbolic dynamics, and present numerous new results.
Author | : Irena Lasiecka |
Publisher | : Cambridge University Press |
Total Pages | : 458 |
Release | : 2000-02-13 |
Genre | : Mathematics |
ISBN | : 9780521584012 |
Download Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon Book in PDF, ePub and Kindle
Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.
Author | : Irena Lasiecka |
Publisher | : Cambridge University Press |
Total Pages | : 678 |
Release | : 2000-02-13 |
Genre | : Mathematics |
ISBN | : 9780521434089 |
Download Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems Book in PDF, ePub and Kindle
First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.
Author | : Irena Lasiecka |
Publisher | : |
Total Pages | : |
Release | : 2000 |
Genre | : |
ISBN | : 9781139886734 |
Download Control Theory for Partial Differential Equations Book in PDF, ePub and Kindle
Author | : Fatiha Alabau-Boussouira |
Publisher | : Springer |
Total Pages | : 276 |
Release | : 2019-07-04 |
Genre | : Mathematics |
ISBN | : 3030179494 |
Download Trends in Control Theory and Partial Differential Equations Book in PDF, ePub and Kindle
This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.
Author | : J. F. Pommaret |
Publisher | : Springer Science & Business Media |
Total Pages | : 578 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9780792370352 |
Download Partial Differential Control Theory Book in PDF, ePub and Kindle
Algebraic analysis, that is the algebraic study of systems of partial differential equations by means of module theory and homological algebra, was pioneered around 1970 by M. Kashiwara, B. Malgrange, and V.P. Palamodov. The theory of differential modules, namely modules over a noncommutative ring of differential operators, is a fashionable subject of research today. However, despite its fundamental importance in mathematics, it can only be found in specialist books and papers, and has only been applied in control theory since 1990. This book provides an account of algebraic analysis and its application to control systems defined by partial differential equations. The first volume presents the mathematical tools needed from both commutative algebra, homological algebra, differential geometry and differential algebra. The second volume applies these new methods in order to study the structural and input/output properties of both linear and nonlinear control systems. Hundreds of explicit examples allow the reader to gain insight and experience in these topics.
Author | : Bor-Sen Chen |
Publisher | : CRC Press |
Total Pages | : 459 |
Release | : 2021-12-22 |
Genre | : Mathematics |
ISBN | : 1000514064 |
Download Robust Engineering Designs of Partial Differential Systems and Their Applications Book in PDF, ePub and Kindle
Considers both time‐domain and frequency domain robust design techniques of partial differential systems Illustrates both theoretical robust design techniques and practical applications Discusses partial differential systems with both Dirichlet and Neuman boundary conditions in robust design procedure Addresses deterministic and stochastic partial differential systems Explores theoretical mathematical background, robust signal processing design, robust control system design and robust biological system design with application
Author | : Krzysztof Bartecki |
Publisher | : Springer |
Total Pages | : 165 |
Release | : 2015-12-21 |
Genre | : Technology & Engineering |
ISBN | : 3319275011 |
Download Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws Book in PDF, ePub and Kindle
This monograph focuses on the mathematical modeling of distributed parameter systems in which mass/energy transport or wave propagation phenomena occur and which are described by partial differential equations of hyperbolic type. The case of linear (or linearized) 2 x 2 hyperbolic systems of balance laws is considered, i.e., systems described by two coupled linear partial differential equations with two variables representing physical quantities, depending on both time and one-dimensional spatial variable. Based on practical examples of a double-pipe heat exchanger and a transportation pipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the same spatial point, and anti-collocated, in which the input signals are applied to the two different end points of the system. The results of this book emerge from the practical experience of the author gained during his studies conducted in the experimental installation of a heat exchange center as well as from his research experience in the field of mathematical and computer modeling of dynamic systems. The book presents valuable results concerning their state-space, transfer function and time-domain representations, which can be useful both for the open-loop analysis as well as for the closed-loop design. The book is primarily intended to help professionals as well as undergraduate and postgraduate students involved in modeling and automatic control of dynamic systems.
Author | : Alexander J. Zaslavski |
Publisher | : Springer |
Total Pages | : 570 |
Release | : 2019-07-23 |
Genre | : Mathematics |
ISBN | : 3030201783 |
Download Turnpike Conditions in Infinite Dimensional Optimal Control Book in PDF, ePub and Kindle
This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.
Author | : |
Publisher | : Elsevier |
Total Pages | : 332 |
Release | : 2005-07-12 |
Genre | : Mathematics |
ISBN | : 0080457347 |
Download Infinite Dimensional Linear Control Systems Book in PDF, ePub and Kindle
For more than forty years, the equation y’(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date). The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals. The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y’(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research. Key features: · Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike · Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike