User:Margav06/sandbox/Click here to continue/Fundamentals of Matrix and LMIs

Fundamentals of Matrix and LMIs

Fundamentals of Matrix and LMIs Properties of LMIs
 * 1) /Basic Matrix Theory/
 * 2) /Notion of Matrix Positivity/
 * 3) /Matrix Inequalities and LMIs/
 * 4) /Convexity of LMIs/
 * 5) /Concatenation of LMIs/
 * 1) /Change of Subject/
 * 2) /Congruence Transformation/
 * 3) /Young’s Relation (Completion of the Squares)/
 * 4) /Young’s Relation-Based Properties/
 * 5) /Special Cases of Young’s Relation/
 * 6) /Iterative Convex Overbounding/
 * 7) /Projection Lemma (Matrix Elimination Lemma)/
 * 8) /Strict Projection Lemma/
 * 9) /Non Strict Projection Lemma/
 * 10) /Reciprocal Projection Lemma/
 * 11) /Projection Lemma-Based Properties/
 * 12) /Ellipsoidal inequality/
 * 13) Continuous Time Properties
 * 14) /Schur Complement/
 * 15) /Strict Schur Complement/
 * 16) /Non-Strict Schur Complement/
 * 17) /Schur Complement Lemma-Based Properties/
 * 18) Eigenvalue related Problems
 * 19) /Matrix Eigen Value Minimization/
 * 20) /Continuous Time/Eigenvalue Problem/
 * 21) /LMI for Generalized eigenvalue problem/
 * 22) /Matrix Norm Minimization/
 * 23) /LMI for Generalized Eigenvalue Problem/
 * 24) /LMI for Linear Programming/
 * 25) /LMI for Feasibility Problem/
 * 26) /Continuous Time/Structured Singular Value/
 * 27) /LMI for Minimizing Condition Number of Positive Definite Matrix/
 * 28) /Continuous time quadratic stability/
 * 29) Discrete Time Properties
 * 30) /Discrete Time Minimum Gain Lemma/
 * 31) /Discrete Time Modified Minimum Gain Lemma/
 * 32) /Finsler’s Lemma/
 * 33) /Dilation/
 * 34) /Tangential Nevanlinna Pick/
 * 35) /Nevanlinna Pick Interpolation with Scaling/
 * 36) /Deduced LMI Conditions for Hinf Index/
 * 37) /Deduced LMI Conditions for H2 Index/
 * 38) /Dissipativity of Systems/
 * 39) /Generalized H2 Norm/
 * 40) /Passivity and Positive Realness/
 * 41) /Non-Expansivity and boundedness Realness/
 * 42) /Variable Reduction Lemma/
 * 43) /D-stability Rise Poles/
 * 44) /D-stability Settling time poles/
 * 45) /D-stability Max Percent Overshoot Poles/
 * 46) /Iterative Convex Overbounding/
 * 47) /Frobenius Norm/
 * 48) /Dualization Lemma/