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2 results

10 - Hierarchical Games
from Part II - The Game Theoretic Approach
Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
Book:

Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization

Published online:

10 October 2019

Print publication:

24 October 2019, pp 137-148
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Summary

Hierarchical optimalrecovery games are defined using a hierarchy of measurement functions. The sequence of optimal mixed minmax solutions is shown to be a martingale. Sparse rank-revealing representations of Gaussian fields are established.

Control for the sine-gordon equation
Madalina Petcu, Roger Temam
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 10 / Issue 4 / October 2004

Published online by Cambridge University Press:

15 October 2004, pp. 553-573

Print publication:

October 2004
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In this article we apply the optimal andthe robust control theory to the sine-Gordon equation. In our casethe control is given by the boundary conditions and we work in a finitetime horizon. We present at the beginning the optimal control problemand we derive a necessary condition of optimality and we continue byformulating a robust control problem for which existence and uniquenessof solutions are derived.

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2 results

10 - Hierarchical Games

Summary

Control for the sine-gordon equation