A tutorial on linear and bilinear matrix inequalities

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Time‐delayed dynamic output feedback ℋ︁∞ controller design for civil structures: A decentralized approach through homotopic transformation (2011, background): “Because both G and P are unknown variables, the problem has a bilinear matrix inequality (BMI) constraint [26].”
On relaxed LMI-based designs for fuzzy regulators and fuzzy observers (2001, methodology): “Applying the Schur complement [15], [ 19 ], this condition is also equivalent to”