Recent Advances In Differential Equations And Control Theory

Author : Concepción Muriel,Carmen Pérez-Martinez
Publisher : Springer Nature
Page : 102 pages
File Size : 41,9 Mb
Release : 2021-03-13
Category : Mathematics
ISBN : 9783030618759

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Recent Advances in Differential Equations and Control Theory by Concepción Muriel,Carmen Pérez-Martinez Pdf

This book collects the latest results and new trends in the application of mathematics to some problems in control theory, numerical simulation and differential equations. The work comprises the main results presented at a thematic minisymposium, part of the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), held in Valencia, Spain, from 15 to 18 July 2019. The topics covered in the 6 peer-review contributions involve applications of numerical methods to real problems in oceanography and naval engineering, as well as relevant results on switching control techniques, which can have multiple applications in industrial complexes, electromechanical machines, biological systems, etc. Problems in control theory, as in most engineering problems, are modeled by differential equations, for which standard solving procedures may be insufficient. The book also includes recent geometric and analytical methods for the search of exact solutions for differential equations, which serve as essential tools for analyzing problems in many scientific disciplines.

Author : Balakumar Balachandran,Tamás Kalmár-Nagy,David E. Gilsinn
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 52,8 Mb
Release : 2009-04-05
Category : Technology & Engineering
ISBN : 9780387855950

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Delay Differential Equations by Balakumar Balachandran,Tamás Kalmár-Nagy,David E. Gilsinn Pdf

Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.

Author : Roberto Conti
Publisher : Elsevier
Page : 462 pages
File Size : 54,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483273914

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Recent Advances in Differential Equations by Roberto Conti Pdf

Recent Advances in Differential Equations contains the proceedings of a meeting held at the International Center for Theoretical Physics in Trieste, Italy, on August 24-28, 1978 under the auspices of the U.S. Army Research Office. The papers review the status of research in the field of differential equations (ordinary, partial, and functional). Both theoretical aspects (differential operators, periodic solutions, stability and bifurcation, asymptotic behavior of solutions, etc.) and problems arising from applications (reaction-diffusion equations, control problems, heat flow, etc.) are discussed. Comprised of 33 chapters, this book first examines non-cooperative trajectories of n-person dynamical games and stable non-cooperative equilibria, followed by a discussion on the determination and application of Vekua resolvents. The reader is then introduced to generalized Hopf bifurcation; some Cauchy problems arising in computational methods; and boundary value problems for pairs of ordinary differential operators. Subsequent chapters focus on degenerate evolution equations and singular optimal control; stability of neutral functional differential equations; local exact controllability of nonlinear evolution equations; and turbulence and higher order bifurcations. This monograph will be of interest to students and practitioners in the field of mathematics.

Author : Fatiha Alabau-Boussouira,Fabio Ancona,Alessio Porretta,Carlo Sinestrari
Publisher : Springer
Page : 276 pages
File Size : 41,6 Mb
Release : 2019-07-04
Category : Mathematics
ISBN : 9783030179496

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Trends in Control Theory and Partial Differential Equations by Fatiha Alabau-Boussouira,Fabio Ancona,Alessio Porretta,Carlo Sinestrari Pdf

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 : H-H Dai,P.L. Sachdev
Publisher : CRC Press
Page : 260 pages
File Size : 51,7 Mb
Release : 2020-01-30
Category : Mathematics
ISBN : 9781000724547

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Recent Advances in Differential Equations by H-H Dai,P.L. Sachdev Pdf

The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:

Author : Z. Deng,Z. Liang,G. Lu,S. Ruan
Publisher : CRC Press
Page : 544 pages
File Size : 47,7 Mb
Release : 2020-11-25
Category : Mathematics
ISBN : 9781000105322

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Differential Equations and Control Theory by Z. Deng,Z. Liang,G. Lu,S. Ruan Pdf

This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.

Author : Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza
Publisher : Springer
Page : 244 pages
File Size : 42,9 Mb
Release : 2019-01-04
Category : Mathematics
ISBN : 9783030003418

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Recent Advances in Differential Equations and Applications by Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza Pdf

This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Author : Dr. K.S. Lakshmi ,Dr. J. Sathya Priya ,Dr. Sujatha Seshadri ,Dr. R. Om Gayathri
Publisher : Allied Publishers
Page : 196 pages
File Size : 53,7 Mb
Release : 2017-08-10
Category : Mathematics
ISBN : 9789385926785

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Recent Advances in Differential Equations and its Applications (DEAPP–2017) by Dr. K.S. Lakshmi ,Dr. J. Sathya Priya ,Dr. Sujatha Seshadri ,Dr. R. Om Gayathri Pdf

Differential Equations serve as mathematical models for virtually any natural or physical phenomena in science and technology and has applications even in diverse fields such as economics, medicine, ecology, etc. The seminar was organized to throw light on the recent advances in the applications of differential equations and to provide a platform for sharing the knowledge with experts in the field with young students and researchers. The Researchers and educators in the field of differential equations were invited to attend and share their rich experience. As for everything else. so for a mathematical theory. beauty can be perceived but not explained.

Author : Rudolf Emil Kalman
Publisher : Unknown
Page : 522 pages
File Size : 42,7 Mb
Release : 1987
Category : Control theory
ISBN : UCAL:B5008631

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Recent Advances in Communication and Control Theory by Rudolf Emil Kalman Pdf

Author : Hartmut Logemann,Eugene P. Ryan
Publisher : Springer
Page : 333 pages
File Size : 52,9 Mb
Release : 2014-07-08
Category : Mathematics
ISBN : 9781447163985

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Ordinary Differential Equations by Hartmut Logemann,Eugene P. Ryan Pdf

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory control theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.

Author : Tomás Chacón Rebollo,Rosa Donat,Inmaculada Higueras
Publisher : Springer Nature
Page : 276 pages
File Size : 45,5 Mb
Release : 2022
Category : Electronic
ISBN : 9783030862367

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Recent Advances in Industrial and Applied Mathematics by Tomás Chacón Rebollo,Rosa Donat,Inmaculada Higueras Pdf

This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.

Author : F.H. Clarke,R.J. Stern
Publisher : Springer Science & Business Media
Page : 614 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401145602

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Nonlinear Analysis, Differential Equations and Control by F.H. Clarke,R.J. Stern Pdf

Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.

Author : C. T. Leondes
Publisher : Elsevier
Page : 376 pages
File Size : 55,6 Mb
Release : 2014-12-01
Category : Technology & Engineering
ISBN : 9781483194653

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Advances in Control Systems by C. T. Leondes Pdf

Advances in Control Systems: Theory and Applications, Volume 1 provides information pertinent to the significant progress in the field of automatic control. This book presents several fundamental approaches to algorithms for the determination of optimum control inputs to a system. Organized into six chapters, this volume begins with an overview of the optimal method of controlling a given system with respect to the given criterion of performance. This text then summarizes some of the basic results of the maximum principle and illustrates how they may be exploited in control system studies. Other chapters consider the fundamental approach underlying almost all the existing works on the control of distributed parameter systems. This book discusses as well some important concepts in the theory of optimal control. The final chapter deals with the problem of controlling processes under the condition of uncertain changes in the process to be controlled. This book is a valuable resource for practicing engineers, applied mathematicians, and scientists.

Author : Qi Lü,Xu Zhang
Publisher : Springer Nature
Page : 592 pages
File Size : 49,5 Mb
Release : 2021-10-19
Category : Science
ISBN : 9783030823313

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Mathematical Control Theory for Stochastic Partial Differential Equations by Qi Lü,Xu Zhang Pdf

This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.

Author : Guenter Leugering,Oleg Imanuvilov,Bing-Yu Zhang,Roberto Triggiani
Publisher : CRC Press
Page : 416 pages
File Size : 52,6 Mb
Release : 2005-05-27
Category : Mathematics
ISBN : 9781420028317

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Control Theory of Partial Differential Equations by Guenter Leugering,Oleg Imanuvilov,Bing-Yu Zhang,Roberto Triggiani Pdf

The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a