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LMIs in Control/Matrix and LMI Properties and Tools

< LMIs in Control
The latest reviewed version was checked on 30 November 2021. There are 7 pending changes awaiting review.
  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 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
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