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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...

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...

Complete with examples and simulation results, this volume explores the nonsmooth dynamical systems (NSDS) modeling approach, using piecewise-linear and multivalued models of electronic devices. Readers will find a comparison of SPICE and hybrid methods, which demonstrates the power of the NSDS approach.

Complete with examples and simulation results, this volume explores the nonsmooth dynamical systems (NSDS) modeling approach, using piecewise-linear and multivalued models of electronic devices. Readers will find a comparison of SPICE and hybrid methods, which demonstrates the power of the NSDS approach.