{"product_id":"9781447111610","title":"Communications and Control Engineering: Models, Dynamics and Control","description":"\u003ch1\u003eCommunications and Control Engineering: Models, Dynamics and Control\u003c\/h1\u003e \u003ch2\u003eBrogliato, Bernard\u003c\/h2\u003e \u003cp\u003eThank 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 attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace \u003ci\u003e = {x : f(x, t) 2: O} of the system's state space.\u003c\/i\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-10-05\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781447111610\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4471-0557-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 552\u003c\/p\u003e ","brand":"Springer London","offers":[{"title":"Default Title","offer_id":44359142277260,"sku":"9781447111610","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781447111610.jpg?v=1771515988","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781447111610","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}