Analysis and control of complex nonlinear processes in physics, chemistry and biology,
Автор: Hobbie, Russell K., Roth, Bradley J Название: Intermediate Physics for Medicine and Biology. ISBN: 3319126814 ISBN-13(EAN): 9783319126814 Издательство: Springer Рейтинг: Цена: 8414 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As with the previous edition, the first half of the text is primarily biological physics, emphasizing the use of ideas from physics to understand biology and physiology, and the second half is primarily medical physics, describing the use of physics in medicine for diagnosis (mainly imaging) and therapy.
Описание: Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.
Описание: Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade.
Implementations of these methods for experimental data are now widely accepted and fairly routine; however, genuinely useful applications remain rare. This book focuses on the
practice of applying these methods to solve real problems.
To illustrate the usefulness of these methods, a wide variety of physical and physiological systems are considered.
The technical tools utilized in this book fall into three distinct, but interconnected areas: quantitative measures of nonlinear dynamics, Monte-Carlo statistical hypothesis testing, and
nonlinear modeling. Ten highly detailed applications serve as case studies of fruitful applications and illustrate the mathematical techniques described in the text.
Описание: Although nonlinear control is traditionally an area of interest in process systems engineering which is of great practical importance, many process engineers
have difficulty with the paradigms and resul
s of modern nonlinear control theory because they lack the mathematical background usually associated with such methods or because of their computational difficulty and small-scale
applicability in the general case. This textbook overcomes these barriers. The features include: mathematical preliminaries for readers from a process engineering background; constant
reference to the finite-dimensional linear time-invariant continuous case as a basis for extension to the nonlinear situation; theories and analytical methods laid out clearly and
straightforwardly with exercises to reaffirm the techniques as they are taught; emphasis on process knowledge and first-principles-based models in obtaining feasible and effective
solutions in particular circumstances from general cases; and simple examples and case studies.
Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.
Описание: Divided into two parts, this volume gathers a spectrum of dynamic systems related papers written by experts in their fields. The first part is dedicated to problems of decision encountered in the area of production and inventory systems. The second part is dedicated to large scale system problems occurring in other areas of engineering.
Описание: Contains contributions in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas. This book covers topics including differential geometry, partial differential equations, integrable systems and mathematical physics.
Описание: * Follows a new approach of including graph theory from a mathematical perspective with specific applications of graph theory in biomedical and computational sciences. * Of ever increasing significance for novel computational areas in biomedical sciences such as systems biology or neuronal network analysis.
Описание: Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.
Описание: Focuses on the use of nonlinear analysis and synthesis techniques for aircraft control. This book addresses closed-loop control problems for aircraft `on-ground` that is speed and directional control of aircraft before take-off and after touch down. It is suitable for those in control engineering and aircraft control.
Описание: This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. By "complex systems", in this book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a unified geometrical approach to dynamics of complex systems of various kinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. Using sophisticated machinery composed of differential geometry, topology and path integrals, this book proposes a unified approach to complex dynamics вЂ“ of predictive power much greater than the currently popular "soft-science" approach to complex systems. The main objective of this book is to show that high-dimensional nonlinear systems in "real life" can be modeled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems.The book has two chapters and an appendix. The first chapter develops the geometrical machinery in both an intuitive and rigorous manner. The second chapter applies this geometrical machinery to a number of examples of complex systems, including mechanical, physical, control, biomechanical, robotic, neurodynamical and psycho-social-economical systems. The appendix gives all the necessary background for comprehensive reading of this book.
Описание: Thepastthree decadeshaveseenrapiddevelopmentin the areaofmodelpred- tive control with respect to both theoretical and application aspects. This is one of the reasons why nonlinear model predictive control (NMPC) has - joyed signi?cant attention over the past years,with a number of recent advances on both the theoretical and application frontier.
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