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Gathering the most important and promising results in subfields of nonlinear control theory - previously available only in journals - this comprehensive volume presents the state of the art in geometric methods, their applications in optimal control, and feedback transformations. Supplemented with over 1200 references, equations, and drawings, this readily accessible resource is excellent for pure and applied mathematicians, analysts, and applied geometers specializing in control theory, differential equations, calculus of variations, differential geometry, and singularity theory, and graduate-level students in these disciplines.

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