📘 control theory

1. **Problem Statement:** Given the linear system:

1. Problem statement: Determine stability using the Jury test for the polynomial $p(z)=z^6+2z^5+3z^4+23z^3+0z^2+4z+16$. 2. Recall the Jury test rules: For a polynomial of degree $n

1. The problem asks to determine all values of \(\alpha \in \mathbb{R}\) such that the system \(\dot{x}(t) = Ax(t)\) contains as many modes as possible. Given \[ A = \begin{bmatrix