LMIs in Control/Matrix and LMI Properties and Tools

1. Basic Matrix Theory
2. Notion of Matrix Positivity
3. /Matrix Inequalities and LMIs/
4. /KYP Lemmas/
5. /Continuous Time/
6. /Discrete Time/
7. Deduced LMI Conditions for H-infinity Index
8. Deduced LMI Conditions for H₂ Index
9. Dissipativity of Systems
10. D-Stabilization
11. H-Stabilization
12. H-2 Norm of the System
13. Algebraic Riccati Equation
14. System Zeros without feedthrough
15. System zeros with feedthrough
16. Negative Imaginary Lemma
17. Small Gain Theorem
18. Tangential Nevanlinna-Pick Interpolation
19. Nevanlinna-Pick Interpolation with Scaling
20. Generalized $H_2$ Norm
21. /Passivity and Positive Realness/
22. /Non-expansivity and Bounded Realness/
23. /Change of Subject/
24. /Congruence Transformation/
25. /Finsler's Lemma/
26. /Young’s Relation (Completion of the Squares)/
27. /Young’s Relation-Based Properties/
28. /Schur Stabilizability/
29. /Variable Reduction Lemma/
30. /Ellipsoidal inequality/
31. /Dilation/
32. /Quadratic Schur Stability/
33. /D-Stability Rise Time Poles /
34. /D-Stability Settling Time Poles /
35. /D-Stability Max Percent Overshoot Poles/
36. /Iterative Convex Overbounding/
37. /Strict Projection Lemma/
38. /Non Strict Projection Lemma/
39. /Concatenation Of Matrices/
40. Dicrete-time Algebraic Riccati Equation
41. /Frobenius Norm/
42. /Dualization Lemma/
43. /Negative Imaginary System DC Constraint/