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Hamilton-Jacobi equations and synthesis of nonlinear control processes in Hilbert spaces

✍ Scribed by Viorel Barbu; Giuseppe Da Prato


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
938 KB
Volume
48
Category
Article
ISSN
0022-0396

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Many nonlinear optimal control and estimation problems can be formulated as Tikhonov variational problems in an infinite dimensional reproducing kernel Hilbert space. This paper shows that any closed ball contained in such spaces is compact in the sup-norm topology. This result is exploited to obtai