Geometric Control of Mechanical Systems

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Release : 2019-06-12
Genre : Science
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Book Rating : 765/5 ( reviews)

Geometric Control of Mechanical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Control of Mechanical Systems write by Francesco Bullo. This book was released on 2019-06-12. Geometric Control of Mechanical Systems available in PDF, EPUB and Kindle. The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.

Tautological Control Systems

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Release : 2014-07-22
Genre : Science
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Book Rating : 383/5 ( reviews)

Tautological Control Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tautological Control Systems write by Andrew D. Lewis. This book was released on 2014-07-22. Tautological Control Systems available in PDF, EPUB and Kindle. This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.

Nonholonomic Mechanics and Control

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Release : 2015-11-05
Genre : Science
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Book Rating : 176/5 ( reviews)

Nonholonomic Mechanics and Control - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonholonomic Mechanics and Control write by A.M. Bloch. This book was released on 2015-11-05. Nonholonomic Mechanics and Control available in PDF, EPUB and Kindle. This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.

On Geometric Control Design for Holonomic and Nonholonomic Mechanical Systems

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Release : 2004
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On Geometric Control Design for Holonomic and Nonholonomic Mechanical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On Geometric Control Design for Holonomic and Nonholonomic Mechanical Systems write by . This book was released on 2004. On Geometric Control Design for Holonomic and Nonholonomic Mechanical Systems available in PDF, EPUB and Kindle.

Control Theory from the Geometric Viewpoint

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Release : 2013-03-14
Genre : Science
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Book Rating : 049/5 ( reviews)

Control Theory from the Geometric Viewpoint - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Control Theory from the Geometric Viewpoint write by Andrei A. Agrachev. This book was released on 2013-03-14. Control Theory from the Geometric Viewpoint available in PDF, EPUB and Kindle. This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about? The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for "free will" in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.