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 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/