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Published by Cambridge University Press, 1996
ISBN 10: 0521455138 ISBN 13: 9780521455138
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Language: English
Published by Cambridge University Press, 1996
ISBN 10: 0521455138 ISBN 13: 9780521455138
First Edition
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Language: English
Published by Israel Program For Scientific Translations, Jerusalem, 1965
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Language: English
Published by Cambridge University Press, 2011
ISBN 10: 0521172772 ISBN 13: 9780521172776
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Published by Cambridge University Press, 1997
ISBN 10: 052145512X ISBN 13: 9780521455121
Hardcover. Condition: ex library-very good. Encyclopedia of Mathematics and its Applications Vol. 56. x, 246 p. 24 cm. Red cloth. Ex library with labels on spine and front cover, ink stamps on top edge and title page.
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Language: English
Published by Springer International Publishing AG, Cham, 2022
ISBN 10: 3031020723 ISBN 13: 9783031020728
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First Edition
Paperback. Condition: new. Paperback. This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory. The concise presentation provides an accessible treatment of the subject for advanced undergraduate and graduate students in theoretical and applied mathematics, as well as to experts in classic control theory for whom geometric methods may be introduced. Theory is accompanied by characteristic examples such as stopping a train, motion of mobile robot, Euler elasticae, Dido's problem, and rolling of the sphere on the plane. Quick foundations to some recent topics of interest like control on Lie groups and sub-Riemannian geometry are included. Prerequisites include only a basic knowledge of calculus, linear algebra, and ODEs; preliminary knowledge of control theory is not assumed. The applications problems-oriented approach discusses core subjects and encourages the reader to solve related challenges independently. Highly-motivated readers can acquire working knowledge of geometric control techniques and progress to studying control problems and more comprehensive books on their own. Selected sections provide exercises to assist in deeper understanding of the material.Controllability and optimal control problems are considered for nonlinear nonholonomic systems on smooth manifolds, in particular, on Lie groups. For the controllability problem, the following questions are considered: controllability of linear systems, local controllability of nonlinear systems, NaganoSussmann Orbit theorem, RashevskiiChow theorem, Krener's theorem. For the optimal control problem, Filippov's theorem is stated, invariant formulation of Pontryagin maximum principle on manifolds is given, second-order optimality conditions are discussed, and the sub-Riemannian problem is studied in detail. Pontryagin maximum principle is proved for sub-Riemannian problems, solution to the sub-Riemannian problems on the Heisenberggroup, the group of motions of the plane, and the Engel group is described. For the optimal control problem, Filippov's theorem is stated, invariant formulation of Pontryagin maximum principle on manifolds is given, second-order optimality conditions are discussed, and the sub-Riemannian problem is studied in detail. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Cambridge University Press, 2011
ISBN 10: 0521172772 ISBN 13: 9780521172776
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Condition: New. This 1997 book explores the role of probabilistic methods for solving combinatorial problems. Translator(s): Vatutin, V. A. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 258 pages, black & white illustrations. BIC Classification: PBT; PBV. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 14. Weight in Grams: 370. . 2011. Reissue. paperback. . . . .
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Add to basketCondition: New. A 1996 account of some complex problems of discrete mathematics in a simple and unified form. Translator(s): Kolchin, V. F. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 322 pages, black & white illustrations, diagrams, figures. BIC Classification: PBV. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 17. Weight in Grams: 450. . 2011. Illustrated. paperback. . . . .
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Condition: New. This 1997 book explores the role of probabilistic methods for solving combinatorial problems. Translator(s): Vatutin, V. A. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 258 pages, black & white illustrations. BIC Classification: PBT; PBV. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 14. Weight in Grams: 370. . 2011. Reissue. paperback. . . . . Books ship from the US and Ireland.
Language: English
Published by Cambridge University Press, 2011
ISBN 10: 0521172764 ISBN 13: 9780521172769
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Condition: New. A 1996 account of some complex problems of discrete mathematics in a simple and unified form. Translator(s): Kolchin, V. F. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 322 pages, black & white illustrations, diagrams, figures. BIC Classification: PBV. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 17. Weight in Grams: 450. . 2011. Illustrated. paperback. . . . . Books ship from the US and Ireland.
Language: English
Published by Springer International Publishing AG, Cham, 2022
ISBN 10: 3031020723 ISBN 13: 9783031020728
Seller: AussieBookSeller, Truganina, VIC, Australia
First Edition
Paperback. Condition: new. Paperback. This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory. The concise presentation provides an accessible treatment of the subject for advanced undergraduate and graduate students in theoretical and applied mathematics, as well as to experts in classic control theory for whom geometric methods may be introduced. Theory is accompanied by characteristic examples such as stopping a train, motion of mobile robot, Euler elasticae, Dido's problem, and rolling of the sphere on the plane. Quick foundations to some recent topics of interest like control on Lie groups and sub-Riemannian geometry are included. Prerequisites include only a basic knowledge of calculus, linear algebra, and ODEs; preliminary knowledge of control theory is not assumed. The applications problems-oriented approach discusses core subjects and encourages the reader to solve related challenges independently. Highly-motivated readers can acquire working knowledge of geometric control techniques and progress to studying control problems and more comprehensive books on their own. Selected sections provide exercises to assist in deeper understanding of the material.Controllability and optimal control problems are considered for nonlinear nonholonomic systems on smooth manifolds, in particular, on Lie groups. For the controllability problem, the following questions are considered: controllability of linear systems, local controllability of nonlinear systems, NaganoSussmann Orbit theorem, RashevskiiChow theorem, Krener's theorem. For the optimal control problem, Filippov's theorem is stated, invariant formulation of Pontryagin maximum principle on manifolds is given, second-order optimality conditions are discussed, and the sub-Riemannian problem is studied in detail. Pontryagin maximum principle is proved for sub-Riemannian problems, solution to the sub-Riemannian problems on the Heisenberggroup, the group of motions of the plane, and the Engel group is described. For the optimal control problem, Filippov's theorem is stated, invariant formulation of Pontryagin maximum principle on manifolds is given, second-order optimality conditions are discussed, and the sub-Riemannian problem is studied in detail. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.