7 problems

Rigid convexity characterization conjecture. $\mathcal C$ has an LMI representation if and only if it is rigidly convex.

Let $M_{0}$ be the halving parameter, and let $(P^{*}(M_{0}),\beta^{*}(M_{0}))$ denote the solution of the LMI parameterized by $M_{0}$. Consider the open set of values of $M_{0}$…

Let the system be in the mode-independent feedback setting, and let the LMIs associated with a De Bruijn graph of order $l\in\mathbb{N}$ be the conditions used to design stabilizin…

Miller–De Callafon's conjecture. The matrix $A$ satisfies $\lambda(A)\subseteq\operatorname{cl}(\mathcal{D})$ if and only if

Rank-characterization conjecture. When $A$ is singular, the LMI $$ should have the same solution set as the equation

Let $A(x)$ be a linear matrix inequality with feasible set … An optimality conjecture asserts that the algorithm's output parametrization has a degree matching the algebraic degree…

Common-solvability conjecture. The $k$ LMIs