Role of the Observability Gramian in Parameter Estimation: Application to Nonchaotic and Chaotic Systems via the Forward Sensitivity Method

Data assimilation in chaotic regimes is challenging, and among the challenging aspects is placement of observations to induce convexity of the cost function in the space of control. This problem is examined by using Saltzman’s spectral model of convection that admits both chaotic and nonchaotic regi...

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Bibliographic Details
Main Authors: John M. Lewis, Sivaramakrishnan Lakshmivarahan
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Atmosphere
Subjects:
Online Access:https://www.mdpi.com/2073-4433/13/10/1647