Impulsive Control Theory
Impulsive Control Theory

Author: Tao Yang

Publisher: Springer Science & Business Media

Published: 2001-08-14

Total Pages: 356

ISBN-13: 354042296X

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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.

Impulsive Control Theory
Impulsive Control Theory

Author: Tao Yang

Publisher: Springer

Published: 2003-07-01

Total Pages: 356

ISBN-13: 3540477101

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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.

Impulsive Control in Continuous and Discrete-Continuous Systems
Impulsive Control in Continuous and Discrete-Continuous Systems

Author: Boris M. Miller

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 454

ISBN-13: 1461500958

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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.

The Oxford Handbook of Impulse Control Disorders
The Oxford Handbook of Impulse Control Disorders

Author: Jon E. Grant

Publisher: Oxford University Press

Published: 2012

Total Pages: 592

ISBN-13: 0195389719

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Research in the area of impulse control disorders has expanded exponentially. The Oxford Handbook of Impulse Control Disorders provides researchers and clinicians with a clear understanding of the developmental, biological, and phenomenological features of a range of impulse control disorders, as well as detailed approaches to their treatment.

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control
Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control

Author: Boris S. Mordukhovich

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 256

ISBN-13: 1461384893

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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.

Mathematical Control Theory
Mathematical Control Theory

Author: Jerzy Zabczyk

Publisher: Springer Science & Business Media

Published: 2008

Total Pages: 276

ISBN-13: 9780817647322

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In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.

Theory Of Impulsive Differential Equations
Theory Of Impulsive Differential Equations

Author: Vangipuram Lakshmikantham

Publisher: World Scientific

Published: 1989-05-01

Total Pages: 287

ISBN-13: 9814507261

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Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

Optimal Impulsive Control
Optimal Impulsive Control

Author: Aram Arutyunov

Publisher: Springer

Published: 2018-12-17

Total Pages: 197

ISBN-13: 3030022609

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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.

Impulsivity
Impulsivity

Author: Christopher D. Webster

Publisher: Guilford Press

Published: 1997-06-20

Total Pages: 488

ISBN-13: 9781572302259

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Impulsivity features prominently in contemporary descriptions of many psychiatric disorders, and is also a key element in the clinical risk assessment of violence. Thoroughly examining the nature, assessment, and treatment of impulsive conduct, this up-to-date volume brings together contributions from prominent researchers and clinicians in both mental health and correctional settings. Chapters illuminate our current understanding of impulsive behavior from conceptual, legal, and biological perspectives, and address the challenges of describing and measuring it. With special emphasis on how the likelihood of future violent or destructive behavior can best be gauged in specific cases, the volume includes several newly developed risk assessment tools. Impulsivity also provides an invaluable overview of the current state of the research and delineates a broad, clinically pertinent agenda for future study. Impulsivity is an invaluable resource for clinicians working in private practice, correctional facilities, health care settings, and community-based programs. It also serves as a primary or supplementary text for advanced undergraduate and graduate-level courses.

Impulsive and Hybrid Dynamical Systems
Impulsive and Hybrid Dynamical Systems

Author: Wassim M. Haddad

Publisher: Princeton University Press

Published: 2014-09-08

Total Pages: 522

ISBN-13: 1400865247

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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.