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Numerical Methods for Nonsmooth Dynamical Systems - Applications in Mechanics and Electronics (Hardcover, 2008 ed.)
Loot Price: R8,222
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Numerical Methods for Nonsmooth Dynamical Systems - Applications in Mechanics and Electronics (Hardcover, 2008 ed.)
Series: Lecture Notes in Applied and Computational Mechanics, 35
Expected to ship within 12 - 17 working days
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This book concerns the numerical simulation of dynamical systems
whose trajec- ries may not be differentiable everywhere. They are
named nonsmooth dynamical systems. They make an important class of
systems, rst because of the many app- cations in which nonsmooth
models are useful, secondly because they give rise to new problems
in various elds of science. Usually nonsmooth dynamical systems are
represented as differential inclusions, complementarity systems,
evolution va- ational inequalities, each of these classes itself
being split into several subclasses. The book is divided into four
parts, the rst three parts being sketched in Fig. 0. 1. The aim of
the rst part is to present the main tools from mechanics and
applied mathematics which are necessary to understand how nonsmooth
dynamical systems may be numerically simulated in a reliable way.
Many examples illustrate the th- retical results, and an emphasis
is put on mechanical systems, as well as on electrical circuits
(the so-called Filippov's systems are also examined in some detail,
due to their importance in control applications). The second and
third parts are dedicated to a detailed presentation of the
numerical schemes. A fourth part is devoted to the presentation of
the software platform Siconos. This book is not a textbook on -
merical analysis of nonsmooth systems, in the sense that despite
the main results of numerical analysis (convergence, order of
consistency, etc. ) being presented, their proofs are not provided.
General
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