Stability of Observations of Partial Differential Equations under Uncertain Perturbations (CROSBI ID 229204)
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Podaci o odgovornosti
Lazar, Martin
engleski
Stability of Observations of Partial Differential Equations under Uncertain Perturbations
We demonstrate the stability of observability estimates for solutions to wave and Schrodinger equations subjected to additive perturbations. This work generalises recent averaged observability/control results by allowing for systems consisting of operators of different types. We also consider the simultaneous observability problem by which one tries to estimate the energy of each component of a system under consideration. Our analysis relies on microlocal defect tools, in particular on standard H-measures when the main system dynamic is governed by the wave operator, and parabolic H-measures in the case of the Schrodinger operator.
averaged control ; robust observability ; parabolic H-measures
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Podaci o izdanju
24 (1)
2018.
45-61
objavljeno
1292-8119
1262-3377
10.1051/cocv/2016074