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Nt1310 Unit 1 Math Paper

Satisfactory Essays
where $\mathbf{x}, \bm{\xi} \in \mathds{R}^n$ are the state vectors of the system, $\mathbf{u_{sat}} = \begin{bmatrix} u^1_{sat},~u^2_{sat},...,~u^n_{sat} \end{bmatrix}^T \in \mathds{R}^n$ is the saturation control input vector of the system,
$\mathbf{d}: \mathds{R}^+ \to \mathds{R}^n$ is a bounded unknown external disturbance vector,
$\mathbf{y} \in R^n$ is the output vector of the system,
$\bm{\nu}: \mathds{R}^+ \to \mathds{R}^n$ is a bounded piecewise continuous measurement noise vector that has a bounded derivative, and $\mathbf{A, B, F} \in \mathds{R}^{n \times n}$ are bounded unknown constant matrices, and $\mathbf{\Pi, G} \in \mathds{R}^{n \times n}$ are assumed to be known constant
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