User:Margav06/sandbox/Click here to continue/Matrix and LMI Properties and Tools


 * Basic Matrix Theory
 * Notion of Matrix Positivity
 * /KYP Lemmas/
 * /Continuous Time/
 * /Discrete Time/
 * Deduced LMI Conditions for H-infinity Index
 * Deduced LMI Conditions for H2 Index
 * Dissipativity of Systems
 * D-Stabilization
 * H-Stabilization
 * H-2 Norm of the System
 * Algebraic Riccati Equation
 * System Zeros without feedthrough
 * System zeros with feedthrough
 * Negative Imaginary Lemma
 * Small Gain Theorem
 * Tangential Nevanlinna-Pick Interpolation
 * Nevanlinna-Pick Interpolation with Scaling
 * Generalized $ H_{2} $ Norm
 * /Passivity and Positive Realness/
 * /Non-expansivity and Bounded Realness/
 * /Change of Subject/
 * /Congruence Transformation/
 * /Finsler's Lemma/
 * /Young’s Relation (Completion of the Squares)/
 * /Schur Stabilizability/
 * /Variable Reduction Lemma/
 * Ellipsoidal inequality
 * /Dilation/