Title
Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52),Used
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This book describes the mathematical theory inspired by the irreversible nature of timeevolving events. The first part of the book deals with the ability to steer a system from any point of departure to any desired destination. The second part deals with optimal controlthe problem of finding the best possible course. The author demonstrates an overlap with mathematical physics using the maximum principle, a fundamental concept of optimality arising from geometric control, which is applied to timeevolving systems governed by physics as well as to manmade systems governed by controls. He draws applications from geometry, mechanics, and control of dynamical systems. The geometric language in which the author expresses the results allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.
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