Abstract
The result of the preceding lecture gives necessary conditions for a local minimum in the space L∞, (with u variable). In the classical calculus of variations, such conditions are known as weak extremum conditions (they are obtained by comparing an optimal trajectory with trajectories in a weak neighborhood, i.e., trajectories which approach the optimal one uniformly in both x and u).
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© 1972 Springer-Verlag Berlin · Heidelberg
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Girsanov, I.V., Poljak, B.T. (1972). Problem of Optimal Control. Maximum Principle. In: Poljak, B.T. (eds) Lectures on Mathematical Theory of Extremum Problems. Lecture Notes in Economics and Mathematical Systems, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80684-1_14
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DOI: https://doi.org/10.1007/978-3-642-80684-1_14
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