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math.OC2024
Picard Iteration for Parameter Estimation in Nonlinear Ordinary Differential Equations using Low-Quality Data
Aleksandr Talitckii, Matthew M. Peet
We consider the problem of using experimental time-series data for parameter estimation in nonlinear ordinary differential equations, focusing on the case where the data is noisy,…
math.OC2024
A Computational Method for -optimal Estimator and State Feedback Controller Synthesis for PDEs
Sachin Shivakumar, Matthew Peet
In this paper, we present solvable, convex formulations of -optimal state estimation and state-feedback control problems for a general class of linear Partial Differential Equ…
math.OC2022
Representation of PDE Systems with Delay and Stability Analysis using Convex Optimization -- Extended Version
Declan S. Jagt, Matthew M. Peet
Partial Integral Equations (PIEs) have been used to represent both systems with delay and systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this…