Counterexamples in Optimal Control Theory (Inverse and Ill-Posed Problems)
Counterexamples in Optimal Control Theory (Inverse and Ill-Posed Problems)
Editorial Reviews
Book Description
This monograph deals with relatively simple examples of the theory of optimal control which, nevertheless are far from being trivial. It deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these "bad" examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.
Counterexamples in Optimal Control Theory (Inverse and Ill-Posed Problems),S. Ya. Serovaiskii,Brill Academic Publishers,9067644005,Calculus,Control theory,Engineering - General,General,Interior Design - General,Mathematical optimization,Mathematics,Science/Mathematics,Technology
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Book Contents
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