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

1. Basic Matrix Theory
2. Notion of Matrix Positivity
3. KYP Lemmas
4. Continuous Time
5. Discrete Time
6. Deduced LMI Conditions for H-infinity Index
7. Deduced LMI Conditions for H₂ Index
8. Dissipativity of Systems
9. D-Stabilization
10. H-Stabilization
11. H-2 Norm of the System
12. Algebraic Riccati Equation
13. System Zeros without feedthrough
14. System zeros with feedthrough
15. Negative Imaginary Lemma
16. Small Gain Theorem
17. Tangential Nevanlinna-Pick Interpolation
18. Nevanlinna-Pick Interpolation with Scaling
19. Generalized $H_{2}$ Norm
20. Passivity and Positive Realness
21. Non-expansivity and Bounded Realness
22. Change of Subject
23. Congruence Transformation
24. Finsler's Lemma
25. Young’s Relation (Completion of the Squares)
26. Schur Stabilizability
27. Variable Reduction Lemma
28. Ellipsoidal inequality
29. Dilation