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Author : Ahmad a Bahnasawi
Publisher : Springer
ISBN 13 : 9783662206232
Total Pages : 248 pages
Book Rating : 4.2/5 (62 download)
Download or read book Control of Partially-Known Dynamical Systems written by Ahmad a Bahnasawi and published by Springer. This book was released on 2014-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Vapnik
Publisher : Springer
ISBN 13 : 9780387511443
Total Pages : 0 pages
Book Rating : 4.5/5 (114 download)
Download or read book Estimation of Dependences Based on Empirical Data written by V. Vapnik and published by Springer. This book was released on 2011-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-?ve years have passed since the publication of the Russian version of the book Estimation of Dependencies Based on Empirical Data (EDBED for short). Twen- ?ve years is a long period of time. During these years many things have happened. Looking back, one can see how rapidly life and technology have changed, and how slow and dif?cult it is to change the theoretical foundation of the technology and its philosophy. I pursued two goals writing this Afterword: to update the technical results presented in EDBED (the easy goal) and to describe a general picture of how the new ideas developed over these years (a much more dif?cult goal). The picture which I would like to present is a very personal (and therefore very biased) account of the development of one particular branch of science, Empirical - ference Science. Such accounts usually are not included in the content of technical publications. I have followed this rule in all of my previous books. But this time I would like to violate it for the following reasons. First of all, for me EDBED is the important milestone in the development of empirical inference theory and I would like to explain why. S- ond, during these years, there were a lot of discussions between supporters of the new 1 paradigm (now it is called the VC theory ) and the old one (classical statistics).
Author : Andrea Manzoni
Publisher : Springer Nature
ISBN 13 : 3030772268
Total Pages : 507 pages
Book Rating : 4.0/5 (37 download)
Download or read book Optimal Control of Partial Differential Equations written by Andrea Manzoni and published by Springer Nature. This book was released on 2022-01-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.
Author : V.I. Vorotnikov
Publisher : Springer Science & Business Media
ISBN 13 : 1461241502
Total Pages : 442 pages
Book Rating : 4.4/5 (612 download)
Download or read book Partial Stability and Control written by V.I. Vorotnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.
Author : Steven L. Brunton
Publisher : Cambridge University Press
ISBN 13 : 1009098489
Total Pages : 615 pages
Book Rating : 4.0/5 (9 download)
Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Author : Alain Bensoussan
Publisher : Springer
ISBN 13 : 3319754564
Total Pages : 547 pages
Book Rating : 4.3/5 (197 download)
Download or read book Estimation and Control of Dynamical Systems written by Alain Bensoussan and published by Springer. This book was released on 2018-05-23 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of classical and advanced topics in estimation and control of dynamical systems with an emphasis on stochastic control. Many aspects which are not easily found in a single text are provided, such as connections between control theory and mathematical finance, as well as differential games. The book is self-contained and prioritizes concepts rather than full rigor, targeting scientists who want to use control theory in their research in applied mathematics, engineering, economics, and management science. Examples and exercises are included throughout, which will be useful for PhD courses and graduate courses in general. Dr. Alain Bensoussan is Lars Magnus Ericsson Chair at UT Dallas and Director of the International Center for Decision and Risk Analysis which develops risk management research as it pertains to large-investment industrial projects that involve new technologies, applications and markets. He is also Chair Professor at City University Hong Kong.
Author : B. Fiedler
Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.
Author : N. U. Ahmed
Publisher : Springer Nature
ISBN 13 : 3030821390
Total Pages : 328 pages
Book Rating : 4.0/5 (38 download)
Download or read book Optimal Control of Dynamic Systems Driven by Vector Measures written by N. U. Ahmed and published by Springer Nature. This book was released on 2021-09-13 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.
Author : Magdi S. Mahmoud
Publisher : CRC Press
ISBN 13 : 1439838178
Total Pages : 610 pages
Book Rating : 4.4/5 (398 download)
Download or read book Decentralized Control and Filtering in Interconnected Dynamical Systems written by Magdi S. Mahmoud and published by CRC Press. This book was released on 2010-11-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the many approaches available for dealing with large-scale systems (LSS), Decentralized Control and Filtering in Interconnected Dynamical Systems supplies a rigorous framework for studying the analysis, stability, and control problems of LSS. Providing an overall assessment of LSS theories, it addresses model order reduction, parametric un
Author : Felix L. Chernous'ko
Publisher : Springer Science & Business Media
ISBN 13 : 3540707840
Total Pages : 398 pages
Book Rating : 4.5/5 (47 download)
Download or read book Control of Nonlinear Dynamical Systems written by Felix L. Chernous'ko and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. Various constraints are imposed on control inputs and state variables or their combinations. The book contains an introduction to the theory of optimal control and the theory of stability of motion, and also a description of some known methods based on these theories. Major attention is given to new methods of control developed by the authors over the last 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange’s equations are considered. General methods are proposed for an effective construction of the required control, often in an explicit form. The book contains various techniques including the decomposition of nonlinear control systems with many degrees of freedom, piecewise linear feedback control based on Lyapunov’s functions, methods which elaborate and extend the approaches of the conventional control theory, optimal control, differential games, and the theory of stability. The distinctive feature of the methods developed in the book is that the c- trols obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in ?nite time. Explicit upper estimates for the time of the process are given. In all cases, the control algorithms and the estimates obtained are strictly proven.
Author : Rachel Natalie Graves
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (665 download)
Download or read book A Method to Accomplish the Optimal Control of Continuous Dynamical Systems with Impulse Controls Via Discrete Optimal Control and Utilizing Optimal Control Theory to Explore the Emergence of Synchrony written by Rachel Natalie Graves and published by . This book was released on 2010 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research concerns the development of new optimal control methodologies and applications. In the first chapter we consider systems of ordinary differential equations subject to a restricted number of impulse controls. Examples of such systems include tumor growth, in which case the impulsive control is the administration of medication, and ecological invasion, in which case the impulse control is the release of predator species. Impulse control problems are typically solved via related partial differential equations known as quasi-variational inequalities. We show that these types of impulse control problems can be formulated as a discrete optimal control problems. Furthermore, this formulation is advantageous because it simplifies numerical calculations. In the second chapter we consider how optimal control can be used to investigate the emergence of synchrony in networks of coupled oscillators. In particular, we apply optimal control to a network of Kuramoto oscillators with time-varying coupling in order to relate network synchrony to network connectivity. To the best of our knowledge this is the first such use of optimal control theory.
Author : A.G. Butkovskiy
Publisher : Springer Science & Business Media
ISBN 13 : 9401132585
Total Pages : 179 pages
Book Rating : 4.4/5 (11 download)
Download or read book Phase Portraits of Control Dynamical Systems written by A.G. Butkovskiy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Bensoussan
Publisher : Springer Science & Business Media
ISBN 13 : 0817645810
Total Pages : 589 pages
Book Rating : 4.8/5 (176 download)
Download or read book Representation and Control of Infinite Dimensional Systems written by Alain Bensoussan and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.
Author : Lamberto Cesari
Publisher : Academic Press
ISBN 13 : 1483262030
Total Pages : 366 pages
Book Rating : 4.4/5 (832 download)
Download or read book Dynamical Systems written by Lamberto Cesari and published by Academic Press. This book was released on 2014-05-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Systems: An International Symposium, Volume 1 contains the proceedings of the International Symposium on Dynamical Systemsheld at Brown University in Providence, Rhode Island, on August 12-16, 1974. The symposium provided a forum for reviewing the theory of dynamical systems in relation to ordinary and functional differential equations, as well as the influence of this approach and the techniques of ordinary differential equations on research concerning certain types of partial differential equations and evolutionary equations in general. Comprised of 29 chapters, this volume begins with an introduction to some aspects of the qualitative theory of differential equations, followed by a discussion on the Lefschetz fixed-point formula. Nonlinear oscillations in the frame of alternative methods are then examined, along with topology and nonlinear boundary value problems. Subsequent chapters focus on bifurcation theory; evolution governed by accretive operators; topological dynamics and its relation to integral equations and non-autonomous systems; and non-controllability of linear time-invariant systems using multiple one-dimensional linear delay feedbacks. The book concludes with a description of sufficient conditions for a relaxed optimal control problem. This monograph will be of interest to students and practitioners in the field of applied mathematics.
Author : C.T. Leonides
Publisher : Elsevier
ISBN 13 : 032315333X
Total Pages : 379 pages
Book Rating : 4.3/5 (231 download)
Download or read book Control and Dynamic Systems V15 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Application, Volume 15 deals with the application of control and dynamic systems to complex and/or large-scale engineering systems. It presents various techniques for approaching applied systems problems. This book first discusses optimization policies for clinical drug prescription. It then turns to the methods of modeling chemical engineering systems and water resource systems. This book also examines the optimization of large scale structures and advances in linear adaptive filtering theory. This book is a useful reference for those seeking a comprehensive text about optimization techniques for chemical engineering systems and large-scale systems.
Author : Fabio Ancona
Publisher : American Mathematical Soc.
ISBN 13 : 0821837664
Total Pages : 416 pages
Book Rating : 4.8/5 (218 download)
Download or read book Control Methods in PDE-Dynamical Systems written by Fabio Ancona and published by American Mathematical Soc.. This book was released on 2007 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: While rooted in controlled PDE systems, this 2005 AMS-IMS-SIAM Summer Research Conference sought to reach out to a rather distinct, yet scientifically related, research community in mathematics interested in PDE-based dynamical systems. Indeed, this community is also involved in the study of dynamical properties and asymptotic long-time behavior (in particular, stability) of PDE-mixed problems. It was the editors' conviction that the time had become ripe and the circumstances propitious for these two mathematical communities--that of PDE control and optimization theorists and that of dynamical specialists--to come together in order to share recent advances and breakthroughs in their respective disciplines. This conviction was further buttressed by recent discoveries that certain energy methods, initially devised for control-theoretic a-priori estimates, once combined with dynamical systems techniques, yield wholly new asymptotic results on well-established, nonlinear PDE systems, particularly hyperb These expectations are now particularly well reflected in the contributions to this volume, which involve nonlinear parabolic, as well as hyperbolic, equations and their attractors; aero-elasticity, elastic systems; Euler-Korteweg models; thin-film equations; Schrodinger equations; beam equations; etc. in addition, the static topics of Helmholtz and Morrey potentials are also prominently featured. A special component of the present volume focuses on hyperbolic conservation laws, to take advantage of recent theoretical advances with significant implications also on applied problems. in all these areas, the reader will find state-of-the-art accounts as stimulating starting points for further research.
Author : Ricardo Zavala Yoe
Publisher : Springer
ISBN 13 : 3540787356
Total Pages : 164 pages
Book Rating : 4.5/5 (47 download)
Download or read book Modelling and Control of Dynamical Systems: Numerical Implementation in a Behavioral Framework written by Ricardo Zavala Yoe and published by Springer. This book was released on 2008-06-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Behavioral Approach for systems and control deals directly with the solution of the differential equations which represent the system. This book reviews this approach and offers new theoretic results. The programs and algorithms are MATLAB based.
