Learn · Advanced process dynamics

Lecture 51 of 60week-11

Lecture 51: Analysis of dynamics of discrete-time systems

Prof. Parag A. Deshpande · IIT Kharagpur

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Advanced process dynamics, IIT Kharagpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 01: Introduction and motivation Video
  2. Lecture 02: Dynamics of linear first order autonomous systems Video
  3. Lecture 03: Dynamics of linear first order autonomous systems continued Video
  4. Lecture 04: Lumped parameter analysis of cooling of a body Video
  5. Lecture 05: Lumped parameter analysis of cooling of a body continued Video
  6. Lecture 06: Introduction to higher order systems Video
  7. Lecture 07: Phase plane analysis of linear autonomous second order systems Video
  8. Lecture 08: Phase plane analysis of linear autonomous second order systems continued Video
  9. Lecture 09: Analysis of a free spring-mass system Video
  10. Lecture 10: Analysis of a free spring-mass system continued... Video
  11. Lecture 11: Dynamics of non-autonomous systems Video
  12. Lecture 12: Similarity solution for non-autonomous higher order dynamics Video
  13. Lecture 13: Similarity solution for non-autonomous higher order dynamics continued Video
  14. Lecture 14: Analysis of a forced spring-mass system Video
  15. Lecture 15: Analysis of a forced spring-mass system continued Video
  16. Lecture 16: Phase portraits of linear autonomous systems of order three and higher Video
  17. Lecture 17: Phase portraits of linear autonomous systems of order three and higher continued... Video
  18. Lecture 18: Analysis of complex reaction systems Video
  19. Lecture 19: Analysis of complex reaction systems continued... Video
  20. Lecture 20: Analysis of complex reaction systems continued... Video
  21. Lecture 21: Introduction to non-linear systems Video
  22. Lecture 22: Logistic population growth model Video
  23. Lecture 23: Logistic population growth model continued... Video
  24. Lecture 24: Logistic population growth with harvesting Video
  25. Lecture 25: Logistic population growth with harvesting continued... Video
  26. Lecture 26: Logistic population growth with threshold population Video
  27. Lecture 27: Logistic population growth with threshold population continued... Video
  28. Lecture 28: Analysis of population dynamics in discrete domain Video
  29. Lecture 29: Analysis of fixed points and bifurcation in discrete domain Video
  30. Lecture 30: Analysis of fixed points and bifurcation in discrete domain continued... Video
  31. Lecture 31: More on bifurcations in non-linear systems Video
  32. Lecture 32: Non-linear systems in higher dimensions Video
  33. Lecture 33: Reactor stability analysis Video
  34. Lecture 34: Reactor stability analysis continued... Video
  35. Lecture 35: Reactor stability analysis continued... Video
  36. Lecture 36: Analysis of infectious disease dynamics Video
  37. Lecture 37: Analysis of infectious disease dynamics continued... Video
  38. Lecture 38: Analysis of infectious disease dynamics continued... Video
  39. Lecture 39: Analysis of atmosphere dynamics using Lorenz equations Video
  40. Lecture 40: Analysis of atmosphere dynamics using Lorenz equations continued... Video
  41. Lecture 41: Analysis of system dynamics in transform domain Video
  42. Lecture 42: Analysis of first order system subjected to ideal forcing functions Video
  43. Lecture 43: Analysis of first order system subjected to ideal forcing functions continued... Video
  44. Lecture 44: Analysis of response of second order systems Video
  45. Lecture 45: Analysis of response of second order systems continued... Video
  46. Lecture 46: Analysis of (p,q) order systems Video
  47. Lecture 47: Analysis of (p,q) order systems continued... Video
  48. Lecture 48: Analysis of multiple input - multiple output systems Video
  49. Lecture 49: Block diagrams and inter-conversion of state-space and transform domain models Video
  50. Lecture 50: Analysis of inverse response systems Video
  51. Lecture 51: Analysis of dynamics of discrete-time systems Video
  52. Lecture 52: Sampling and reconstruction of continuous signals Video
  53. Lecture 53: Conversion of continuous models to discrete-time models Video
  54. Lecture 54: Introduction to z-transforms Video
  55. Lecture 55: z-transforms continued Video
  56. Lecture 56: Response of discrete-time systems Video
  57. Lecture 57: Response of discrete-time systems continued... Video
  58. Lecture 58: Response of discrete-time systems continued... Video
  59. Lecture 59: Stability analysis in transform domain Video
  60. Lecture 60: Review of the course Video