# Dynamical System and Control

- Institution: IIT Roorkee
- Department: Mathematics
- Teacher: Prof. N. Sukavanam Prof. D. N Pandey
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111107118)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111107118)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Formulation of Dynamical Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/1618ef909a2e) (Video)
2. [Formulation of Dynamical Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/b6e6bd7ee330) (Video)
3. [Existence and Uniqueness Theorem-I](https://invisiblenetwork.ai/learn/nptel/111107118/22f27e7393a8) (Video)
4. [Existence and Uniqueness Theorem-II](https://invisiblenetwork.ai/learn/nptel/111107118/458f9b6fd083) (Video)
5. [Linear Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/c990fedac97e) (Video)
6. [Linear Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/06a8e27ec16e) (Video)
7. [Solutions of Linear Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/e9de5ab00bdb) (Video)
8. [Solutions of Linear Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/bd7f6f79ab7c) (Video)
9. [Solutions of Linear Systems-III](https://invisiblenetwork.ai/learn/nptel/111107118/1895438709f0) (Video)
10. [Fundamental Matrix-I](https://invisiblenetwork.ai/learn/nptel/111107118/431259171d26) (Video)
11. [Fundamental Matrix-II](https://invisiblenetwork.ai/learn/nptel/111107118/b045df31173f) (Video)
12. [Fundamental Matrix for Non-Autonomous systems](https://invisiblenetwork.ai/learn/nptel/111107118/ae2e9a73d84b) (Video)
13. [Solutions of Non-Homogeneous Systems](https://invisiblenetwork.ai/learn/nptel/111107118/267c590edf7f) (Video)
14. [Stability of Systems: Equilibrium Points](https://invisiblenetwork.ai/learn/nptel/111107118/988eaf10016d) (Video)
15. [Stability of Linear Autonomous Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/e3329972abc2) (Video)
16. [Stability of Linear Autonomous Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/5de8bb57b0a0) (Video)
17. [Stability of Linear Autonomous Systems-III](https://invisiblenetwork.ai/learn/nptel/111107118/b124772ba983) (Video)
18. [Stability of Weakly Non-Linear Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/011d85c87ff4) (Video)
19. [Stability of Weakly Non-Linear Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/4b383461b8be) (Video)
20. [Stability of Non-Linear Systems using Linearization](https://invisiblenetwork.ai/learn/nptel/111107118/014a02aca364) (Video)
21. [Properties of Phase Portrait](https://invisiblenetwork.ai/learn/nptel/111107118/85525b39ffc4) (Video)
22. [Properties of Orbits](https://invisiblenetwork.ai/learn/nptel/111107118/8d8dfadc31cf) (Video)
23. [Phase Portrait: Types of Critical Points](https://invisiblenetwork.ai/learn/nptel/111107118/b9e3f1442d8e) (Video)
24. [Phase Portrait of Linear Differential Equations- I](https://invisiblenetwork.ai/learn/nptel/111107118/f24fcf981283) (Video)
25. [Phase Portrait of Linear Differential Equations- II](https://invisiblenetwork.ai/learn/nptel/111107118/4dd18b8f6791) (Video)
26. [Phase Portrait of Linear Differential Equations-III](https://invisiblenetwork.ai/learn/nptel/111107118/b76aa1773505) (Video)
27. [Poincare Bendixson Theorem](https://invisiblenetwork.ai/learn/nptel/111107118/213397cb4630) (Video)
28. [Limit Cycle](https://invisiblenetwork.ai/learn/nptel/111107118/312301780803) (Video)
29. [Lyapunov Stability-I](https://invisiblenetwork.ai/learn/nptel/111107118/74eb9add1ef5) (Video)
30. [Lyapunov Stability-II](https://invisiblenetwork.ai/learn/nptel/111107118/5745ee2479c9) (Video)
31. [Introduction to Control Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/f783b8280e7b) (Video)
32. [Introduction to Control Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/cb7db6a0d428) (Video)
33. [Controllability of Autonomous Systems](https://invisiblenetwork.ai/learn/nptel/111107118/72b04681382c) (Video)
34. [Controllability of Non-autonomous Systems](https://invisiblenetwork.ai/learn/nptel/111107118/c519bc69b0e9) (Video)
35. [Observability-I](https://invisiblenetwork.ai/learn/nptel/111107118/9c5059b4a27a) (Video)
36. [Observability-II](https://invisiblenetwork.ai/learn/nptel/111107118/888e4be086c1) (Video)
37. [Results on Controllability and Observability](https://invisiblenetwork.ai/learn/nptel/111107118/af6461f73478) (Video)
38. [Companion Form](https://invisiblenetwork.ai/learn/nptel/111107118/2c8485c9f1e5) (Video)
39. [Feedback Control-I](https://invisiblenetwork.ai/learn/nptel/111107118/ce75059d0e34) (Video)
40. [Feedback Control-II](https://invisiblenetwork.ai/learn/nptel/111107118/9004f26946fa) (Video)
41. [Feedback Control-III](https://invisiblenetwork.ai/learn/nptel/111107118/53b6bbb18cf7) (Video)
42. [Feedback Control-IV](https://invisiblenetwork.ai/learn/nptel/111107118/022829cada9d) (Video)
43. [State Observer](https://invisiblenetwork.ai/learn/nptel/111107118/cfa64dbfd7b3) (Video)
44. [Stabilizability](https://invisiblenetwork.ai/learn/nptel/111107118/48f0822fd4a3) (Video)
45. [Introduction to Discrete Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/01fea8379ea2) (Video)
46. [Introduction to Discrete Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/fad8ae2cca8d) (Video)
47. [Lyapunov Stability Theory-I](https://invisiblenetwork.ai/learn/nptel/111107118/2552b8188fc4) (Video)
48. [Lyapunov Stability Theory-II](https://invisiblenetwork.ai/learn/nptel/111107118/9a388440a1cd) (Video)
49. [Lyapunov Stability Theory-III](https://invisiblenetwork.ai/learn/nptel/111107118/3f6470c66eb4) (Video)
50. [Optimal Control-I](https://invisiblenetwork.ai/learn/nptel/111107118/ef84b782da3f) (Video)
51. [Optimal Control- II](https://invisiblenetwork.ai/learn/nptel/111107118/63b0777d1e35) (Video)
52. [Optimal Control-III](https://invisiblenetwork.ai/learn/nptel/111107118/19b592f397ea) (Video)
53. [Optimal Control-IV](https://invisiblenetwork.ai/learn/nptel/111107118/e94019b84e08) (Video)
54. [Optimal Control for Discrete Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/857fab0a220f) (Video)
55. [Optimal Control for Discrete Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/c1013de1c070) (Video)
56. [Controllability of Discrete Systems](https://invisiblenetwork.ai/learn/nptel/111107118/5ebc4e18209d) (Video)
57. [Observability of Discrete Systems](https://invisiblenetwork.ai/learn/nptel/111107118/64f3c9289cb8) (Video)
58. [Stability for Discrete Systems](https://invisiblenetwork.ai/learn/nptel/111107118/d05ff81c6101) (Video)
59. [Relation between Continuous and Discrete Systems-I](https://invisiblenetwork.ai/learn/nptel/111107118/5be7c2dae773) (Video)
60. [Relation between Continuous and Discrete Systems-II](https://invisiblenetwork.ai/learn/nptel/111107118/b340442a6522) (Video)