Learn · Linear Dynamical Systems

Lecture 11 of 44Week 2

BIBO vs Lyapunov Stability

Prof. Tushar Jain · IIT Mandi

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From
Linear Dynamical Systems, IIT Mandi (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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All the lectures

  1. Response and state-space solution of Linear systems Video
  2. Solution of LTV systems Video
  3. Solution of LTI systems Video
  4. Equivalent State Equations Video
  5. Realization of LTI and LTV Systems Video
  6. Tutorial-1 Video
  7. Introduction to Stability Analysis Video
  8. Lyapunov Stability (Part-I) Video
  9. Lyapunov Stability (Part-II) Video
  10. Proof of lyapunov stability theorem Video
  11. BIBO vs Lyapunov Stability Video
  12. BIBO vs Lyapunov Stability Video
  13. Tutorial-2 Video
  14. Introduction to Controllability Video
  15. Reachability and Controllability Gramians Video
  16. Controllability Matrix Video
  17. Discrete-time Reachability and Controllability Gramians Video
  18. Tests for controllability-I Video
  19. Tests for controllability-II Video
  20. Tutorial-3 Video
  21. Tests for controllability-III Video
  22. Tests for controllability-IV Video
  23. Controllable Decomposition-I Video
  24. Stabilizable Systems Video
  25. Tests for Stabilizability Video
  26. Tutorial-4 Video
  27. State Feeback- I Video
  28. State Feeback-II Video
  29. Lyapunov Method of State Feedback Design Video
  30. Regulation and Tracking Video
  31. Tutorial-5 Video
  32. Robust Tracking and Disturbance Rejection Video
  33. State Feedback design for Multi-input systems Video
  34. Linear Quadratic Regulator Video
  35. Tutorial-6 Video
  36. Output feedback and observability Video
  37. Duality and Observability tests Video
  38. Decompostions and Detectability Video
  39. Minimal Realisations Video
  40. Observer Design and Output Feedback Video
  41. Observer Design and Output Feedback Video
  42. UIO Video
  43. Tutorial- 7 and 8 (combined) Video
  44. Live Session 17-03-2021 Video