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Geometric Control Theory and Sub-Riemannian Geometry (Hardcover, 2014 ed.): Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier,... Geometric Control Theory and Sub-Riemannian Geometry (Hardcover, 2014 ed.)
Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti
R3,490 Discovery Miles 34 900 Ships in 12 - 17 working days

Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume, etc.

Deterministic Observation Theory and Applications (Hardcover): Jean-Paul Gauthier, Ivan Kupka Deterministic Observation Theory and Applications (Hardcover)
Jean-Paul Gauthier, Ivan Kupka
R3,045 Discovery Miles 30 450 Ships in 12 - 17 working days

This work presents a general theory as well as constructive methodology in order to solve "observation problems," namely, those problems that pertain to reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but practical applications in the chemical and petroleum industries are shown.

A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and... A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (Paperback, 1st ed. 2018)
Dario Prandi, Jean-Paul Gauthier
R1,421 Discovery Miles 14 210 Ships in 10 - 15 working days

This book proposes a semi-discrete version of the theory of Petitot and Citti-Sarti, leading to a left-invariant structure over the group SE(2,N), restricted to a finite number of rotations. This apparently very simple group is in fact quite atypical: it is maximally almost periodic, which leads to much simpler harmonic analysis compared to SE(2). Based upon this semi-discrete model, the authors improve on previous image-reconstruction algorithms and develop a pattern-recognition theory that also leads to very efficient algorithms in practice.

Geometric Control Theory and Sub-Riemannian Geometry (Paperback, Softcover reprint of the original 1st ed. 2014): Gianna... Geometric Control Theory and Sub-Riemannian Geometry (Paperback, Softcover reprint of the original 1st ed. 2014)
Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti
R3,885 Discovery Miles 38 850 Ships in 10 - 15 working days

Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume, etc.

Deterministic Observation Theory and Applications (Paperback): Jean-Paul Gauthier, Ivan Kupka Deterministic Observation Theory and Applications (Paperback)
Jean-Paul Gauthier, Ivan Kupka
R1,079 Discovery Miles 10 790 Ships in 12 - 17 working days

This 2001 book presents a general theory as well as a constructive methodology to solve 'observation problems', that is, reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but also practical applications in the chemical and petroleum industries are shown. This book is intended for use by scientists in the areas of automatic control, mathematics, chemical engineering and physics.

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