is related to control theory, dynamic optimization and statistical methods to build mathematical models based on some measured data.

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Identification of linear regression function under $\ell_1$-norm criterion.

Consider a linear system \begin{align*} y = \theta^Tx + e, \end{align*} where $x\in\mathbb{R}^n$ and $e\in\mathbb{R}$ are independent Gaussian random variables with distribution $\mathcal{N}(0,I_n)$ ...
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Fitting data with an AR-model

An experiment involves a discrete time dynamical system with inputs u and outputs y. $ U = \left( \begin{array}{c} -2\\ 1\\ 0\\ 0\\ -1 \end{array} \right)$ and Y = $ \left( \begin{array}{c} -1\\ ...
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Identification of real functions

this my second question, so I'm still new... thanks in advance for any help! Basically, I'm looking for some references and tools to study the following problem. Consider the following function ...
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Automatic component identification/extraction of a system

This may probably be a nonsensical question, but here goes… A definition of a system could be: “a set of interacting components, which give structure and behaviour to the system”. E.g. say, a car (a ...
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Identifiability of a state space system

I'm trying to solve assignment 4E.5 from this sheet (ship steering dynamics). My question are: Do I need to perform the Laplace Transform in order to check for identifiability? The state space model ...
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Explain the existence of limit in Persistence Excitation — mostly zero and non-existent?

Definitions Persistence Excitation on page 121 here or shortly here and here. A signal is PE if this limit exists $$r_u(\tau)=\lim_{N\rightarrow\infty}\frac 1 N \sum_{t=1}^{N} ...