Linear System Theory

Linear System Theory

NPTEL-NOC IITM via YouTube Direct link

mod12lec47-Properties of LMIs and Delay LMIs

47 of 47

47 of 47

mod12lec47-Properties of LMIs and Delay LMIs

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Classroom Contents

Linear System Theory

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  1. 1 System Models - Part 01
  2. 2 Linear Algebra - Span, Basis and Subspaces
  3. 3 Introduction to Linear Systems
  4. 4 System Models - Part 02
  5. 5 System Models - Part 03
  6. 6 General Representation
  7. 7 Sets, Functions and Fields
  8. 8 Linear Algebra - Vector Spaces and Metric Spaces
  9. 9 Linear Algebra - Linear Maps and Matrices
  10. 10 Tutorial 1 on Linear Algebra
  11. 11 Linear Algebra - Diagonalization and Jordan Forms
  12. 12 Linear Algebra - Eigen Decomposition and Singular Value Decomposition
  13. 13 Tutorial 2 on Linear Algebra
  14. 14 Linear Algebra - Change of Basis and Similarity Transformation
  15. 15 Linear Algebra - Invariant Subspaces, Eigen Values & Eigen Vectors
  16. 16 Linear Algebra - Fundamental Subspaces and Rank-Nullity
  17. 17 Solutions to LTI Systems
  18. 18 State Transition Matrix for LTI systems
  19. 19 Forced Reponse of Continuous and Discrete LTI system
  20. 20 State Transition Matrix and Solutions to LTV systems
  21. 21 mod05lec21-Equilibrium Points
  22. 22 mod05lec22-Limit Cycles and Linearization
  23. 23 Supplementary Lecture: Comparison Lemma and Lyapunov Stabilty
  24. 24 Stability of Discrete Time Systems
  25. 25 Lyapunov Stability
  26. 26 Stability Analysis & Types of Stability
  27. 27 Stabilizability
  28. 28 Controllable Decomposition
  29. 29 Controllability of Discrete Time Systems
  30. 30 Controllability Tests
  31. 31 Controllability Matrix and Controllable Systems
  32. 32 Controllability and Reachability
  33. 33 Observability for Discrete Time Systems and Observability Tests
  34. 34 Gramians and Duality
  35. 35 Observability
  36. 36 Observable Decompositon and Detectability
  37. 37 Tutorial for Modules 9 and 10
  38. 38 Control Design using Pole Placement
  39. 39 Canonical Forms and State Feedback Control
  40. 40 Kalman Decomposition and Minimal Realisation
  41. 41 mod10lec42-Design of Observer and Observer based Controller
  42. 42 mod10lec41-State Estimation and Output Feedback
  43. 43 mod11lec45-Tutorial for Module 11
  44. 44 mod11lec44-Feedback Invariant and Algebraic Ricatti Equation
  45. 45 mod11lec43-Optimal Control and Linear Quadratic Regulator (LQR)
  46. 46 mod12lec46-Linear Matrix Inequalities
  47. 47 mod12lec47-Properties of LMIs and Delay LMIs

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