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Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case

โœ Scribed by V.Yu. Buchnev


Publisher
Elsevier Science
Year
1990
Weight
492 KB
Volume
30
Category
Article
ISSN
0041-5553

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Asymptotic Solution of the Singularly Pe
โœ Valery Y. Glizer ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 329 KB

A singularly perturbed linear-quadratic optimal control problem in an infinite dimensional Hilbert space is considered. An asymptotic solution of the corresponding operator Riccati equation is constructed. This result is illustrated by its application to the asymptotic solution of a set of integral-