New Trends In Differential Equations Control Theory And Optimization

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New Trends in Differential Equations, Control Theory and Optimization

Viorel Barbu,Cătălin Lefter,Ioan I Vrabie
New Trends in Differential Equations Control Theory and Optimization Book PDF

Author : Viorel Barbu,Cătălin Lefter,Ioan I Vrabie
Publisher : World Scientific
Page : 348 pages
File Size : 48,7 Mb
Release : 2016-06-17
Category : Mathematics
ISBN : 9789813142879

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New Trends in Differential Equations, Control Theory and Optimization by Viorel Barbu,Cătălin Lefter,Ioan I Vrabie Pdf

The volume contains a collection of original papers and surveys in various areas of Differential Equations, Control Theory and Optimization written by well-known specialists and is thus useful for PhD students and researchers in applied mathematics. Contents:Dirichlet Problems with Mean Curvature Operator in Minkowski Space (Cristian Bereanu, Petru Jebelean and Călin Şerban)Free Boundary Fluid-Elasticity Interactions: Adjoint Sensitivity Analysis (Lorena Bociu and Kristina Martin)Non-Smooth Regularization of a Forward-Backward Parabolic Equation (Elena Bonetti, Pierluigi Colli and Giuseppe Tomassetti)Approaching Monotone Inclusion Problems via Second Order Dynamical Systems with Linear and Anisotropic Damping (Radu Ioan Boţ and Ernö Robert Csetnek)On the Solutions of a Quadratic Integral Inclusion (Aurelian Cernea)On the Bounded and Stabilizing Solution of a Generalized Riccati Differential Equation with Periodic Coefficients Arising in Connection with a Zero Sum Linear Quadratic Stochastic Differential Game (Vasile Dragan and Toader Morozan)A Maximum Principle for a Class of First Order Differential Operators (Maria Fărcăşeanu, Mihai Mihăilescu and Denisa Stancu-Dumitru)Differentiability and Integrability Properties for Solutions to Nonlocal Equations (Mikil Foss and Petronela Radu)Ferroelectric Thin Structures (Antonio Gaudiello and Kamel Hamdache)Sliding Modes for a Phase-Field System (Gianni Gilardi)Uniformly Hyperbolic Viable Sets in Affine IFS (Vasile Glavan and Valeriu Guţu)Some Support Considerations in the Asymptotic Optimality of Two-Scale Controlled PDMP (Dan Goreac and Oana Silvia Serea)Inverse Problems for Control Theory (Mohammed Al Horani and Angelo Favini)On the Ill-Posedness of Active Scalar Equations with Odd Singular Kernels (Igor Kukavica, Vlad Vicol and Fei Wang)Equilibrium in an Individual — Societal SIR Vaccination Model in Presence of Discounting and Finite Vaccination Capacity (Laetitia Laguzet, Gabriel Turinici and Ghozlane Yahiaoui)On Some Minimization Problems in RN (Mihai Mariş)Recent Results on Multiple Periodic Solutions of Forced Relativistic Pendulum-Type Continuous and Discrete Systems (Jean Mawhin)On the Anisotropic Caginalp Phase-Field System with Singular Nonlinear Terms (Alain Miranville)Space, Time, Similarity (Umberto Mosco)Singularly Perturbed Problems for Abstract Differential Equations of Second Order in Hilbert Spaces (Andrei Perjan and Galina Rusu)Global Controllability and Mixing for the Burgers Equation with Localised Finite-Dimensional External Force (Armen Shirikyan)Boundary Observation in Shape Optimization (Dan Tiba)Recent Progress on Steady Gravity Water Waves (Eugen Vărvărucă) Readership: Researchers in partial differential equations, calculus of variations and optimal control, difference and functional equations.

Trends in Control Theory and Partial Differential Equations

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

Author : Fatiha Alabau-Boussouira,Fabio Ancona,Alessio Porretta,Carlo Sinestrari
Publisher : Springer
Page : 276 pages
File Size : 55,8 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.

New Trends in Differential Equations, Control Theory, and Optimization

Viorel Barbu,Catalin Lefter,Ioan I. Vrabie
New Trends in Differential Equations Control Theory and Optimization Book PDF

Author : Viorel Barbu,Catalin Lefter,Ioan I. Vrabie
Publisher : Unknown
Page : 348 pages
File Size : 53,6 Mb
Release : 2016
Category : Control theory
ISBN : 9813142863

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New Trends in Differential Equations, Control Theory, and Optimization by Viorel Barbu,Catalin Lefter,Ioan I. Vrabie Pdf

"The volume contains a collection of original papers and surveys in various areas of Differential Equations, Control Theory and Optimization written by well-known specialists and is thus useful for PhD students and researchers in applied mathematics."--

Recent Advances in Differential Equations and Control Theory

Concepción Muriel,Carmen Pérez-Martinez
Recent Advances in Differential Equations and Control Theory Book PDF

Author : Concepción Muriel,Carmen Pérez-Martinez
Publisher : Springer Nature
Page : 102 pages
File Size : 53,9 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.

Global Methods in Optimal Control Theory

Vadim Krotov
Global Methods in Optimal Control Theory Book PDF

Author : Vadim Krotov
Publisher : CRC Press
Page : 410 pages
File Size : 44,9 Mb
Release : 1995-10-13
Category : Mathematics
ISBN : 0824793293

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Global Methods in Optimal Control Theory by Vadim Krotov Pdf

This work describes all basic equaitons and inequalities that form the necessary and sufficient optimality conditions of variational calculus and the theory of optimal control. Subjects addressed include developments in the investigation of optimality conditions, new classes of solutions, analytical and computation methods, and applications.

Recent Trends in Optimization Theory and Applications

R P Agarwal
Recent Trends in Optimization Theory and Applications Book PDF

Author : R P Agarwal
Publisher : World Scientific
Page : 496 pages
File Size : 49,5 Mb
Release : 1995-11-07
Category : Mathematics
ISBN : 9789814499996

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Recent Trends in Optimization Theory and Applications by R P Agarwal Pdf

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. This volume contains 30 research articles on the theory of optimization and its applications by the leading scientists in the field. It is hoped that the material in the present volume will open new vistas in research. Contributors: B D O Anderson, M Bertaja, O J Boxma, O Burdakov, A Cantoni, D J Clements, B D Craven, J B Cruz, Jr., P Diamond, S V Drakunov, Y G Evtushenko, N M Filatov, I Galligani, J C Geromel, F Giannessi, M J Grimble, G O Guardabassi, D-W Gu, C H Houpis, D G Hull, C Itiki, X Jian, M A Johnson, R E Kalaba, J C Kalkkuhl, M R Katebi, T J Kim, P Kloeden, T Kobylarz, A J Laub, C S Lee, G Leitmann, B-G Liu, J Liu, Z-Q Luo, K A Lurie, P Maponi, J B Matson, A Mess, G Pacelli, M Pachter, I Postlethwaite, T Rapcsak, M C Recchioni, Y Sakawa, S V Savastyuk, K Schittkowski, Y Shi, M A Sikora, D D Siljak, K L Teo, C Tovey, P Tseng, F E Udwadia, H Unbehauen, A Vladimirov, B Vo, J F Whidborne, R Xu, P L Yu, V G Zhadan, F Zirilli. Contents:Dual Cones in Spaces of Convex Sets and Fuzzy Sets (P Diamond et al.)Dual Barrier-Projection Methods in Linear Programming (Y G Evtushenko & V G Zhadan)Solving Parameter Identification Problems on a Parallel-Vector Computer (I Galligani & M Bertaja)Appell's Equations of Motion and the Generalized Inverse Form (C Itiki et al.)Dynamic Nonlinear Optimisation Using the Gate Function Approach (M R Katebi et al.)Control Strategies for an Endemic Disease in the Presence of Uncertainty (C S Lee & G Leitmann)On Global Convergence of an Algorithm for Optimal Control of Discrete-Time Systems (Y Sakawa)Parameter Estimation in Differential Equations (K Schittkowski)A Sliding Mode Based Leader-Follower Strategy for Multi-Level Hierarchies (M A Sikora et al.)Synthesis of Adaptive Controllers Using Bicriterial Optimization and Lyapunov Functions (H Unbehauen & N M Filatov)and other papers Readership: Researchers in applied mathematics and mathematical physics. keywords:Optimization Theory

Mathematical Control Theory for Stochastic Partial Differential Equations

Qi Lü,Xu Zhang
Mathematical Control Theory for Stochastic Partial Differential Equations Book PDF

Author : Qi Lü,Xu Zhang
Publisher : Springer Nature
Page : 592 pages
File Size : 54,8 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.

Optimal Control Theory for Applications

David G. Hull
Optimal Control Theory for Applications Book PDF

Author : David G. Hull
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 46,9 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9781475741803

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Optimal Control Theory for Applications by David G. Hull Pdf

The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.

Differential Equations and Control Theory

Z. Deng,Z. Liang,G. Lu,S. Ruan
Differential Equations and Control Theory Book PDF

Author : Z. Deng,Z. Liang,G. Lu,S. Ruan
Publisher : CRC Press
Page : 543 pages
File Size : 54,8 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.

Optimization and Optimal Control

Altannar Chinchuluun,Panos M. Pardalos,Rentsen Enkhbat,Ider Tseveendorj
Optimization and Optimal Control Book PDF

Author : Altannar Chinchuluun,Panos M. Pardalos,Rentsen Enkhbat,Ider Tseveendorj
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 51,6 Mb
Release : 2010-08-05
Category : Mathematics
ISBN : 9780387894966

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Optimization and Optimal Control by Altannar Chinchuluun,Panos M. Pardalos,Rentsen Enkhbat,Ider Tseveendorj Pdf

Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization and optimal control can be applied.

New Trends in Nonlinear Control Theory

J. Descusse,Michel Fliess,A. Isidori,D. Leborgne
New Trends in Nonlinear Control Theory Book PDF

Author : J. Descusse,Michel Fliess,A. Isidori,D. Leborgne
Publisher : Springer
Page : 544 pages
File Size : 49,7 Mb
Release : 1989-06-16
Category : Language Arts & Disciplines
ISBN : UCAL:B4405498

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New Trends in Nonlinear Control Theory by J. Descusse,Michel Fliess,A. Isidori,D. Leborgne Pdf

This conference on nonlinear control theory was organized within a special "Nonlinear Year" of the French "Centre National de la Recherche Scientifique". This volume is a collection of invited papers giving an overview of new trends in research all over the world. It was the aim of the editors to bring together theoretical contributions by pure mathematicians and more applied communications dedicated to robotics, electrical engines, biology and computer science.

Introduction to Optimal Control Theory

Jack Macki,Aaron Strauss
Introduction to Optimal Control Theory Book PDF

Author : Jack Macki,Aaron Strauss
Publisher : Springer Science & Business Media
Page : 179 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461256717

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Introduction to Optimal Control Theory by Jack Macki,Aaron Strauss Pdf

This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations. It is not intended as a state-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced undergraduates in mathematics who want a concise introduction to a field which contains nontrivial interesting applications of mathematics (for example, weak convergence, convexity, and the theory of ordinary differential equations); (2) economists, applied scientists, and engineers who want to understand some of the mathematical foundations. of optimal control theory. In general, we have emphasized motivation and explanation, avoiding the "definition-axiom-theorem-proof" approach. We make use of a large number of examples, especially one simple canonical example which we carry through the entire book. In proving theorems, we often just prove the simplest case, then state the more general results which can be proved. Many of the more difficult topics are discussed in the "Notes" sections at the end of chapters and several major proofs are in the Appendices. We feel that a solid understanding of basic facts is best attained by at first avoiding excessive generality. We have not tried to give an exhaustive list of references, preferring to refer the reader to existing books or papers with extensive bibliographies. References are given by author's name and the year of publication, e.g., Waltman [1974].

Mathematical Control Theory

John B. Baillieul,J.C. Willems
Mathematical Control Theory Book PDF

Author : John B. Baillieul,J.C. Willems
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214168

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Mathematical Control Theory by John B. Baillieul,J.C. Willems Pdf

This volume on mathematical control theory contains high quality articles covering the broad range of this field. The internationally renowned authors provide an overview of many different aspects of control theory, offering a historical perspective while bringing the reader up to the very forefront of current research.

Optimal Control and Differential Games

Lev Semenovich Pontri︠a︡gin
Optimal Control and Differential Games Book PDF

Author : Lev Semenovich Pontri︠a︡gin
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 52,8 Mb
Release : 1990
Category : Mathematics
ISBN : 0821831348

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Optimal Control and Differential Games by Lev Semenovich Pontri︠a︡gin Pdf

A collection of 22 papers devoted to questions of optimal control theory and differential games, providing an overview of current trends of research in the area of control systems. Numerous optimization methods are covered as well as necessary and sufficient conditions for optimality."

Constrained Optimization In The Calculus Of Variations and Optimal Control Theory

J Gregory
Constrained Optimization In The Calculus Of Variations and Optimal Control Theory Book PDF

Author : J Gregory
Publisher : CRC Press
Page : 242 pages
File Size : 48,6 Mb
Release : 2018-01-18
Category : Mathematics
ISBN : 9781351087766

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Constrained Optimization In The Calculus Of Variations and Optimal Control Theory by J Gregory Pdf

The major purpose of this book is to present the theoretical ideas and the analytical and numerical methods to enable the reader to understand and efficiently solve these important optimizational problems.The first half of this book should serve as the major component of a classical one or two semester course in the calculus of variations and optimal control theory. The second half of the book will describe the current research of the authors which is directed to solving these problems numerically. In particular, we present new reformulations of constrained problems which leads to unconstrained problems in the calculus of variations and new general, accurate and efficient numerical methods to solve the reformulated problems. We believe that these new methods will allow the reader to solve important problems.