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Nonsmooth Analysis and Control Theory, Francis H. Clarke; Yuri S. Ledyaev; Ronald J. Ster


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Автор: Francis H. Clarke; Yuri S. Ledyaev; Ronald J. Ster
Название:  Nonsmooth Analysis and Control Theory
ISBN: 9781475771671
Издательство: Springer
Классификация: ISBN-10: 1475771673
Обложка/Формат: Paperback
Страницы: 278
Вес: 0.42 кг.
Дата издания: 10.03.2013
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 16
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, than had been thought. In recent years, it has come to play a role in functional analysis, optimization, optimal design, mechanics and plasticity, differential equations, control theory, and, increasingly, in analysis. This volume presents the essentials of the subject clearly and succinctly, together with some of its applications and a generous supply of interesting exercises. The book begins with an introductory chapter which gives the reader a sampling of what is to come while indicating at an early stage why the subject is of interest. The next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject leading to an efficient, natural, yet powerful body of theory. The last chapter, as its name implies, is a self-contained introduction to the theory of control of ordinary differential equations. End-of-chapter problems also offer scope for deeper understanding. The authors have incorporated in the text a number of new results which clarify the relationships between the different schools of thought in the subject. Their goal is to make nonsmooth analysis accessible to a wider audience. In this spirit, the book is written so as to be used by anyone who has taken a course in functional analysis.


Nonsmooth Mechanics and Analysis

Автор: Pierre Alart; Olivier Maisonneuve; R. Tyrrell Rock
Название: Nonsmooth Mechanics and Analysis
ISBN: 1441939768 ISBN-13(EAN): 9781441939760
Издательство: Springer
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Цена: 28732.00 р.
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Описание: Convex and Nonsmooth Analysis.- Moreau's Proximal Mappings and Convexity in Hamilton-Jacobi Theory.- Three Optimization Problems in Mass Transportation Theory.- Some Geometrical and Algebraic Properties of Various Types of Convex Hulls.- A Note on the Legendre-Fenchel Transform of Convex Composite Functions.- What Is to be a Mean?.- Nonsmooth Mechanics.- Thermoelastic Contact with Frictional Heating.- A Condition for Statical Admissibility in Unilateral Structural Analysis.- Min-Max Duality and Shakedown Theorems in Plasticity.- Friction and Adhesion.- The Clausius-Duhem Inequality, an Interesting and Productive Inequality.- Unilateral Crack Identification.- Penalty Approximation of Painlevй Problem.- Discrete Contact Problems with Friction: A Stress-Based Approach.- Fluid Mechanics.- A Brief History of Drop Formation.- Semiclassical Approach of the "Tetrad Model" of Turbulence.- Multibody Dynamics: Numerical Aspects.- The Geometry Of Newton's Cradle.- Using Nonsmooth Analysis for Numerical Simulation of Contact Mechanics.- Numerical Simulation of a Multibody Gas.- Granular Media and Ballasted Railway Tracks Milieux Granulaires Et Voies Ballastйes.- Scaling Behaviour of Velocity Fluctuations in Slow Granular Flows.- Topics in Nonsmooth Science.- Morphological Equations and Sweeping Processes.- Higher Order Moreau's Sweeping Process.- An Existence Result in Non-Smooth Dynamics.- Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction.- Canonical Duality in Nonsmooth, Constrained Concave Minimization.

Regularity Concepts in Nonsmooth Analysis

Автор: Messaoud Bounkhel
Название: Regularity Concepts in Nonsmooth Analysis
ISBN: 1489989374 ISBN-13(EAN): 9781489989376
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. The second part gathers the most prominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis.

Adaptive Control of Nonsmooth Dynamic Systems

Автор: Gang Tao; Frank L. Lewis
Название: Adaptive Control of Nonsmooth Dynamic Systems
ISBN: 1849968691 ISBN-13(EAN): 9781849968690
Издательство: Springer
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Цена: 26120.00 р.
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Описание: Many of the non-smooth, non-linear phenomena covered in this well-balanced book are of vital importance in almost any field of engineering. Contributors from all over the world ensure that no one area`s slant on the subjects predominates.

Optimal Control, Stabilization and Nonsmooth Analysis

Автор: Marcio S. de Queiroz; Michael Malisoff; Peter Wole
Название: Optimal Control, Stabilization and Nonsmooth Analysis
ISBN: 3540213309 ISBN-13(EAN): 9783540213307
Издательство: Springer
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Цена: 26122.00 р.
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Описание: This edited book contains selected papers presented at the Louisiana Conference on Mathematical Control Theory (MCT`03), which brought together over 35 prominent world experts in mathematical control theory and its applications.

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control

Автор: Boris S. Mordukhovich; Hector J. Sussmann
Название: Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control
ISBN: 1461384915 ISBN-13(EAN): 9781461384915
Издательство: Springer
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Цена: 14673.00 р.
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Описание: 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.

Qualitative Analysis of Nonsmooth Dynamics

Автор: Leger Alain
Название: Qualitative Analysis of Nonsmooth Dynamics
ISBN: 1785480944 ISBN-13(EAN): 9781785480942
Издательство: Elsevier Science
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Цена: 15159.00 р.
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Описание:

Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and properties of periodic solutions of elementary mechanical systems, where no classical results issued from the theory of ordinary differential equations are readily available, such as stability, continuation or approximation of solutions. The authors focus on unilateral contact in presence of Coulomb friction and show, in particular, how any regularization would greatly simplify the mathematics but lead to unacceptable physical responses.

Constructive Nonsmooth Analysis and Related Topics

Автор: Vladimir F. Demyanov; Panos M. Pardalos; Mikhail B
Название: Constructive Nonsmooth Analysis and Related Topics
ISBN: 1493946315 ISBN-13(EAN): 9781493946310
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.

Constructive Nonsmooth Analysis and Related Topics

Автор: Vladimir F. Demyanov; Panos M. Pardalos; Mikhail B
Название: Constructive Nonsmooth Analysis and Related Topics
ISBN: 1461486149 ISBN-13(EAN): 9781461486145
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.

Optimal Control of Nonsmooth Distributed Parameter Systems

Автор: Dan Tiba
Название: Optimal Control of Nonsmooth Distributed Parameter Systems
ISBN: 3540535241 ISBN-13(EAN): 9783540535249
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control.


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