Optimal Impulsive Control

Author : Aram Arutyunov
Publisher : Springer
ISBN 13 : 3030022609
Total Pages : 174 pages
Book Rating : 4.00/5 ( download)

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Download or read book Optimal Impulsive Control written by Aram Arutyunov and published by Springer. This book was released on 2018-12-17 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin’s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints. The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.

Author : Boris M. Miller
Publisher : Springer Science & Business Media
ISBN 13 : 1461500958
Total Pages : 454 pages
Book Rating : 4.57/5 ( download)

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Download or read book Impulsive Control in Continuous and Discrete-Continuous Systems written by Boris M. Miller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.

Author : Tao Yang
Publisher : Springer
ISBN 13 : 3540477101
Total Pages : 356 pages
Book Rating : 4.05/5 ( download)

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Download or read book Impulsive Control Theory written by Tao Yang and published by Springer. This book was released on 2003-07-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of impulsive control and its mathematical foundation called - pulsive di?erential equations,or di?erential equations with impulse e?ects,or di?erential equations with discontinuous righthand sides have a long history. In fact, in mechanical systems impulsive phenomena had been studied for a long time under di?erent names such as: mechanical systems with impacts. The study of impulsive control systems (control systems with impulse e?ects) has also a long history that can be traced back to the beginning of modern control theory. Many impulsive control methods were successfully developed under the framework of optimal control and were occasionally called impulse control. The so called impulse control is not exactly the impulsive control as will be de?ned in this book. The reader should not mixup these two kinds of control methods though in many papers they were treated as the same. - cently, there is a tendency of integrating impulsive control into hybrid control systems. However, this e?ort does not have much help to the development of impulsive control theory because impulsive systems can only be studied by the very mathematical tool based on impulsive di?erential equations. The e?ort to invent a very general framework of hybrid control system for stu- ing impulsive control and other hybrid control problems will contribute no essential knowledge to impulsive control.

Author : João P. Belfo
Publisher : Springer Nature
ISBN 13 : 3030504883
Total Pages : 108 pages
Book Rating : 4.85/5 ( download)

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Download or read book Optimal Impulsive Control for Cancer Therapy written by João P. Belfo and published by Springer Nature. This book was released on 2020-06-19 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Springer brief discusses the use of control engineering methods to plan a cancer therapy which tends to reduce tumour size in patients, striking a balance that minimizes the toxic effects of the treatment. The authors address the design and computation of impulsive control therapies, a methodology previously underexplored in the application of control methods to medical modelling. This allows simulation of such discrete events as taking a pill rather than relying on the supply of therapy being continuous and steady. The book begins with an introduction to the topic, before moving onto pharmacokinetic, pharmacodynamical and tumour-growth models and explaining how they describe the relationship between a certain therapy plan and the evolution of cancer. This is placed firmly in the context of work introducing impulsive differential equations. The final chapter summarizes the research presented and suggests future areas of research to encourage readers in taking the subject forward. This book is of interest to biomedical engineers, researchers and students, particularly those with a background in systems and control engineering.

Author : Boris S. Mordukhovich
Publisher : Springer Science & Business Media
ISBN 13 : 1461384893
Total Pages : 256 pages
Book Rating : 4.92/5 ( download)

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Download or read book Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control written by Boris S. Mordukhovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory. " The purpose of this workshop was to concentrate on powerful mathematical techniques that have been de veloped in deterministic optimal control theory after the basic foundations of the theory (existence theorems, maximum principle, dynamic program ming, sufficiency theorems for sufficiently smooth fields of extremals) were laid out in the 1960s. These advanced techniques make it possible to derive much more detailed information about the structure of solutions than could be obtained in the past, and they support new algorithmic approaches to the calculation of such solutions. We thank Boris S. Mordukhovich and Hector J. Sussmann for organiz ing the workshop and editing the proceedings. We also take this oppor tunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control held at the Institute for Mathematics and its Applications on February 8-17, 1993 during a special year devoted to Control Theory and its Applications. The workshop-whose organizing committee consisted of V. J urdjevic, B. S. Mordukhovich, R. T. Rockafellar, and H. J.

Author : Mary Nhin
Publisher : Ninja Life Hacks
ISBN 13 : 9781637312148
Total Pages : 0 pages
Book Rating : 4.48/5 ( download)

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Download or read book Impulsive Ninja written by Mary Nhin and published by Ninja Life Hacks. This book was released on 2021-07-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Impulsive Ninja learns how to use an underused superpower to respond to frustration, anger, and criticism. Children without impulse control act or talk before they think, often unable to control their initial response to a situation. The ability to self-regulate is absent and they don't pause to think about future consequences. Impulsivity is related to acting without thought. As a result, children do things like take unnecessary risks, blurt things out, don't wait their turn, or interrupt conversations. This book is a perfect resource for children with autism, ADD, ADHD, or SPD. " --Amazon.com

Author :
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.15/5 ( download)

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Download or read book Optimal Impulsive Control written by and published by . This book was released on 1993 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Eric Hollander
Publisher : American Psychiatric Pub
ISBN 13 : 1585626643
Total Pages : 372 pages
Book Rating : 4.49/5 ( download)

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Download or read book Clinical Manual of Impulse-Control Disorders written by Eric Hollander and published by American Psychiatric Pub. This book was released on 2007-04-02 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visibility of impulse-control disorders (ICDs) has never been greater than it is today, both in the field of psychiatry and in popular culture. Changes in both society and technology have contributed to the importance of conceptualizing, assessing, and treating impulse-control disorders (ICDs). The ground-breaking Clinical Manual of Impulse-Control Disorders focuses on all of the different ICDs as a group. Here, 25 recognized experts provide cutting-edge, concise, and practical information about ICDs, beginning with the phenomenology, assessment, and classification of impulsivity as a core symptom domain that cuts across and drives the expression of these complex disorders. Subsequent chapters discuss Intermittent explosive disorder, an often overlooked ICD characterized by impulsive aggression. Childhood conduct disorder and the antisocial spectrum. Self-injurious behavior and its relationship to impulsive aggression and childhood trauma. Sexual compulsions and their serious public health implications. Binge eating, a highly familial disorder associated with serious medical complications and psychopathology. Trichotillomania, which may be related to obsessive-compulsive disorder, skin picking, and nail biting. Kleptomania, a heterogeneous disorder that shares features with ICDs as well as with mood, anxiety, and addictive disorders. Compulsive shopping, more common in women, with treatments ranging from self-help and financial counseling to trials with selective serotonin reuptake inhibitors. Pyromania and how it differs from arson. Pathological gambling, a maladaptive behavioral addiction that is increasing in step with legalized and Internet gambling. Internet addiction, ranging from excessive seeking of medical information to dangerous sexual behaviors. The remarkable Clinical Manual of Impulse-Control Disorders sheds light on the complex world of ICDs. As such, it will be welcomed not only by clinicians and researchers but also by individuals and family members coping with these disorders.

Author : Tao Yang
Publisher : Springer
ISBN 13 : 9783662203958
Total Pages : 348 pages
Book Rating : 4.52/5 ( download)

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Download or read book Impulsive Control Theory written by Tao Yang and published by Springer. This book was released on 2014-10-08 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of impulsive control and its mathematical foundation called - pulsive di?erential equations,or di?erential equations with impulse e?ects,or di?erential equations with discontinuous righthand sides have a long history. In fact, in mechanical systems impulsive phenomena had been studied for a long time under di?erent names such as: mechanical systems with impacts. The study of impulsive control systems (control systems with impulse e?ects) has also a long history that can be traced back to the beginning of modern control theory. Many impulsive control methods were successfully developed under the framework of optimal control and were occasionally called impulse control. The so called impulse control is not exactly the impulsive control as will be de?ned in this book. The reader should not mixup these two kinds of control methods though in many papers they were treated as the same. - cently, there is a tendency of integrating impulsive control into hybrid control systems. However, this e?ort does not have much help to the development of impulsive control theory because impulsive systems can only be studied by the very mathematical tool based on impulsive di?erential equations. The e?ort to invent a very general framework of hybrid control system for stu- ing impulsive control and other hybrid control problems will contribute no essential knowledge to impulsive control.

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 1400865247
Total Pages : 522 pages
Book Rating : 4.46/5 ( download)

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Download or read book Impulsive and Hybrid Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2014-09-08 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems. Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems.