Learn · Variational Calculus and its applications in Control Theory and Nanomechanics

Lecture 53 of 69Week 9

Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 05

Prof. Sarthok Sircar · IIIT Delhi

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Variational Calculus and its applications in Control Theory and Nanomechanics, IIIT Delhi (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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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. Introduction / Euler Lagrange Equations - Part 1 Video
  2. Introduction / Euler Lagrange Equations - Part 2 Video
  3. Introduction / Euler Lagrange Equations - Part 3 Video
  4. Introduction / Euler Lagrange Equations - Part 4 Video
  5. Introduction / Euler Lagrange Equations - Part 5 Video
  6. Introduction / Euler Lagrange Equations - Part 6 Video
  7. Special cases / Invariance, Existence and Uniqueness of solutions - Part 01 Video
  8. Special cases / Invariance, Existence and Uniqueness of solutions - Part 02 Video
  9. Special cases / Invariance, Existence and Uniqueness of solutions - Part 03 Video
  10. Special cases / Invariance, Existence and Uniqueness of solutions - Part 04 Video
  11. Special cases / Invariance, Existence and Uniqueness of solutions - Part 05 Video
  12. Special cases / Invariance, Existence and Uniqueness of solutions - Part 06 Video
  13. Generalization / Numerical solution of Euler Lagrange Equations - Part 01 Video
  14. Generalization / Numerical solution of Euler Lagrange Equations - Part 02 Video
  15. Generalization / Numerical solution of Euler Lagrange Equations - Part 03 Video
  16. Generalization / Numerical solution of Euler Lagrange Equations - Part 04 Video
  17. Generalization / Numerical solution of Euler Lagrange Equations - Part 05 Video
  18. Generalization / Numerical solution of Euler Lagrange Equations - Part 06 Video
  19. Isoperimetric Problems - Part 01 Video
  20. Isoperimetric Problems - Part 02 Video
  21. Isoperimetric Problems - Part 03 Video
  22. Isoperimetric Problems - Part 04 Video
  23. Isoperimetric Problems - Part 05 Video
  24. Isoperimetric Problems - Part 06 Video
  25. "Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 01" Video
  26. "Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 02" Video
  27. "Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 03" Video
  28. Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 04 Video
  29. Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 05 Video
  30. Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 06 Video
  31. Broken extremals / Hamiltonian Formulation - Part 01 Video
  32. Broken extremals / Hamiltonian Formulation - Part 02 Video
  33. Broken extremals / Hamiltonian Formulation - Part 03 Video
  34. Broken extremals / Hamiltonian Formulation - Part 04 Video
  35. Broken extremals / Hamiltonian Formulation - Part 05 Video
  36. Broken extremals / Hamiltonian Formulation - Part 06 Video
  37. Hamilton-Jacobi Equations - Part 01 Video
  38. Hamilton-Jacobi Equations - Part 02 Video
  39. Hamilton-Jacobi Equations - Part 03 Video
  40. Hamilton-Jacobi Equations - Part 04 Video
  41. Hamilton's equations, Symplectic Maps, Hamilton-Jacobi Equations, Conservative systems, Video
  42. Hamilton-Jacobi Equations - Part 06 Video
  43. Noether's Theorem / Introduction to Second Variation - Part 01 Video
  44. Noether's Theorem / Introduction to Second Variation - Part 02 Video
  45. Noether's Theorem / Introduction to Second Variation - Part 03 Video
  46. Noether's Theorem / Introduction to Second Variation - Part 04 Video
  47. Noether's Theorem / Introduction to Second Variation - Part 05 Video
  48. Noether's Theorem / Introduction to Second Variation - Part 06 Video
  49. Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 01 Video
  50. Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 02 Video
  51. Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 03 Video
  52. Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 04 Video
  53. Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 05 Video
  54. Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 06 Video
  55. Constrained Optimization in Optimal Control Theory - Part 01 Video
  56. Constrained Optimization in Optimal Control Theory - Part 02 Video
  57. Constrained Optimization in Optimal Control Theory - Part 03 Video
  58. Constrained Optimization in Optimal Control Theory - Part 04 Video
  59. Constrained Optimization in Optimal Control Theory - Part 05 Video
  60. Constrained Optimization in Optimal Control Theory - Part 06 Video
  61. Introduction to Nanomechanics - Part 01 Video
  62. Introduction to Nanomechanics - Part 02 Video
  63. Introduction to Nanomechanics - Part 03 Video
  64. Introduction to Nanomechanics - Part 04 Video
  65. Introduction to Nanomechanics - Part 05 Video
  66. Introduction to Nanomechanics - Part 06 Video
  67. Live Session 27-02-2021 Video
  68. Live Session 13-02-2022 Video
  69. Live Session 29-03-2022 Video