Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.
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Inside This Book
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First Sentence:
A BASIC understanding of Differential Geometry is assumed. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
purely kinematic case, kinematic controllability, nonholonomic integrator, simple mechanical control systems, configuration controllability, variational integrators, nonholonomic systems, input vector fields, nonholonomic mechanical systems, nonholonomic mechanics, nonholonomic problem, good bracket, robotic locomotion, algorithms respect, momentum mapping, lifted action, geometric mechanics, jump rule, mechanical integrators, controllability analysis, discrete principle, special subcase, nonholonomic constraints, discrete forces, rolling disk Key Phrases - Capitalized Phrases (CAPs): (learn more)
Consider the Lie, Constrained Coordinate Formulation, Calculus of Variations New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A BASIC understanding of Differential Geometry is assumed. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
purely kinematic case, kinematic controllability, nonholonomic integrator, simple mechanical control systems, configuration controllability, variational integrators, nonholonomic systems, input vector fields, nonholonomic mechanical systems, nonholonomic mechanics, nonholonomic problem, good bracket, robotic locomotion, algorithms respect, momentum mapping, lifted action, geometric mechanics, jump rule, mechanical integrators, controllability analysis, discrete principle, special subcase, nonholonomic constraints, discrete forces, rolling disk Key Phrases - Capitalized Phrases (CAPs): (learn more)
Consider the Lie, Constrained Coordinate Formulation, Calculus of Variations New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
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44
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- Nonholonomic Motion Planning (The Springer International Series in Engineering and Computer Science) by Zexiang Li in Back Matter (1), and Back Matter (2)
- Forward-Backward Stochastic Differential Equations and their Applications (Lecture Notes in Mathematics) by Jin Ma in Back Matter (1), and Back Matter (2)
- Nonlinear Control Systems (Communications and Control Engineering) by Alberto Isidori in Back Matter (1), and Back Matter (2)
- Grothendieck Duality and Base Change (Lecture Notes in Mathematics) by Brian Conrad in Back Matter
- Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems (Fields Institute Communications) by Michael J. Enos in Back Matter
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- Big Queues (Lecture Notes in Mathematics) by Ayalvadi J. Ganesh in Back Matter
- The Valuative Tree (Lecture Notes in Mathematics) by Charles Favre in Back Matter
- Geometry of Müntz Spaces and Related Questions (Lecture Notes in Mathematics) by Vladimir I. Gurariy in Back Matter
- Asymptotics for Dissipative Nonlinear Equations (Lecture Notes in Mathematics) by Nakao Hayashi in Back Matter
- Diophantine Approximation: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries) by David Masser in Back Matter
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