LMIs in Control/Matrix and LMI Properties and Tools


 * Basic Matrix Theory
 * Notion of Matrix Positivity
 * /Matrix Inequalities and LMIs/
 * /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)/
 * /Young’s Relation-Based Properties/
 * /Schur Stabilizability/
 * /Variable Reduction Lemma/
 * /Ellipsoidal inequality/
 * /Dilation/
 * /Quadratic Schur Stability/
 * /D-Stability Rise Time Poles /
 * /D-Stability Settling Time Poles /
 * /D-Stability Max Percent Overshoot Poles/
 * /Iterative Convex Overbounding/
 * /Strict Projection Lemma/
 * /Non Strict Projection Lemma/
 * /Concatenation Of Matrices/
 * Dicrete-time Algebraic Riccati Equation
 * /Frobenius Norm/
 * /Dualization Lemma/
 * /Negative Imaginary System DC Constraint/