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This book offers an introduction to multiple impacts. It examines how they differ from single impacts and details various classes of models for impacts. In addition, the book emphasizes granular chains of aligned balls.
Focuses on a class of nonsmooth hybrid dynamical systems, namely finite-dimensional mechanical systems subject to unilateral constraints. This book contains overview of the main problems in mathematics, mechanics, stability and control. It discusses such topics as: shock dynamics; multiple impacts; feedback control; and, Moreau's sweeping process.
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.
This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. 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.
This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
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