书目名称 | Nonsmooth Mechanics | 副标题 | Models, Dynamics and | 编辑 | Bernard Brogliato | 视频video | | 概述 | This monograph contains the latest research results in the area of impact problems for rigid bodies.It contains a complete overview of the main problems of interest in this field.This edition has been | 丛书名称 | Communications and Control Engineering | 图书封面 |  | 描述 | Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system‘s state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attai | 出版日期 | Book 19992nd edition | 关键词 | Control; Control Theory; Impact; Nonsmooth Mechanics; Rigid Bodies; Shock Dynamics; Sobolev space; Stabilit | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4471-0557-2 | isbn_softcover | 978-1-4471-1161-0 | isbn_ebook | 978-1-4471-0557-2Series ISSN 0178-5354 Series E-ISSN 2197-7119 | issn_series | 0178-5354 | copyright | Springer-Verlag London 1999 |
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