# Linear Dynamical Systems

- Institution: IIT Mandi
- Department: Electrical Engineering
- Teacher: Prof. Tushar Jain
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/108106164)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/108106164)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Response and state-space solution of Linear systems](https://invisiblenetwork.ai/learn/nptel/108106164/17354432b78a) (Video)
2. [Solution of LTV systems](https://invisiblenetwork.ai/learn/nptel/108106164/11984fab804e) (Video)
3. [Solution of LTI systems](https://invisiblenetwork.ai/learn/nptel/108106164/09ba104f8cc4) (Video)
4. [Equivalent State Equations](https://invisiblenetwork.ai/learn/nptel/108106164/f5b19ae00d64) (Video)
5. [Realization of LTI and LTV Systems](https://invisiblenetwork.ai/learn/nptel/108106164/5fd082cc76b4) (Video)
6. [Tutorial-1](https://invisiblenetwork.ai/learn/nptel/108106164/a33cd7fd629e) (Video)
7. [Introduction to Stability Analysis](https://invisiblenetwork.ai/learn/nptel/108106164/02bbcdda9b52) (Video)
8. [Lyapunov Stability (Part-I)](https://invisiblenetwork.ai/learn/nptel/108106164/c706afecb951) (Video)
9. [Lyapunov Stability (Part-II)](https://invisiblenetwork.ai/learn/nptel/108106164/3b022d5c9122) (Video)
10. [Proof of lyapunov stability theorem](https://invisiblenetwork.ai/learn/nptel/108106164/cf9b3748f017) (Video)
11. [BIBO vs Lyapunov Stability](https://invisiblenetwork.ai/learn/nptel/108106164/47bdbabfadf8) (Video)
12. [BIBO vs Lyapunov Stability](https://invisiblenetwork.ai/learn/nptel/108106164/c39b20368b63) (Video)
13. [Tutorial-2](https://invisiblenetwork.ai/learn/nptel/108106164/811cc9ae0f18) (Video)
14. [Introduction to Controllability](https://invisiblenetwork.ai/learn/nptel/108106164/3900f55fbbd1) (Video)
15. [Reachability and Controllability Gramians](https://invisiblenetwork.ai/learn/nptel/108106164/bc98ca182652) (Video)
16. [Controllability Matrix](https://invisiblenetwork.ai/learn/nptel/108106164/840496838d3f) (Video)
17. [Discrete-time Reachability and Controllability Gramians](https://invisiblenetwork.ai/learn/nptel/108106164/0f445048ba58) (Video)
18. [Tests for controllability-I](https://invisiblenetwork.ai/learn/nptel/108106164/f7fec4b15729) (Video)
19. [Tests for controllability-II](https://invisiblenetwork.ai/learn/nptel/108106164/884b89bb1f8b) (Video)
20. [Tutorial-3](https://invisiblenetwork.ai/learn/nptel/108106164/59cc6f4fcc77) (Video)
21. [Tests for controllability-III](https://invisiblenetwork.ai/learn/nptel/108106164/1e56a736eee4) (Video)
22. [Tests for controllability-IV](https://invisiblenetwork.ai/learn/nptel/108106164/ce7ec823d862) (Video)
23. [Controllable Decomposition-I](https://invisiblenetwork.ai/learn/nptel/108106164/059b9f2a6bb1) (Video)
24. [Stabilizable Systems](https://invisiblenetwork.ai/learn/nptel/108106164/8077bf03f363) (Video)
25. [Tests for Stabilizability](https://invisiblenetwork.ai/learn/nptel/108106164/716ac16d91d4) (Video)
26. [Tutorial-4](https://invisiblenetwork.ai/learn/nptel/108106164/f8cdcaeaa2ce) (Video)
27. [State Feeback- I](https://invisiblenetwork.ai/learn/nptel/108106164/b82a6c7abd61) (Video)
28. [State Feeback-II](https://invisiblenetwork.ai/learn/nptel/108106164/394a7e36c461) (Video)
29. [Lyapunov Method of State Feedback Design](https://invisiblenetwork.ai/learn/nptel/108106164/12b5c6345a1e) (Video)
30. [Regulation and Tracking](https://invisiblenetwork.ai/learn/nptel/108106164/e9a9554889fa) (Video)
31. [Tutorial-5](https://invisiblenetwork.ai/learn/nptel/108106164/31025d7c5de1) (Video)
32. [Robust Tracking and Disturbance Rejection](https://invisiblenetwork.ai/learn/nptel/108106164/807822d1da78) (Video)
33. [State Feedback design for Multi-input systems](https://invisiblenetwork.ai/learn/nptel/108106164/f3ff212af204) (Video)
34. [Linear Quadratic Regulator](https://invisiblenetwork.ai/learn/nptel/108106164/57e77f5fd248) (Video)
35. [Tutorial-6](https://invisiblenetwork.ai/learn/nptel/108106164/538d67b66735) (Video)
36. [Output feedback and observability](https://invisiblenetwork.ai/learn/nptel/108106164/0b4163d48519) (Video)
37. [Duality and Observability tests](https://invisiblenetwork.ai/learn/nptel/108106164/476c76f9e24b) (Video)
38. [Decompostions and Detectability](https://invisiblenetwork.ai/learn/nptel/108106164/4073e1e8413c) (Video)
39. [Minimal Realisations](https://invisiblenetwork.ai/learn/nptel/108106164/541c72a88e50) (Video)
40. [Observer Design and Output Feedback](https://invisiblenetwork.ai/learn/nptel/108106164/79e2eebda7e4) (Video)
41. [Observer Design and Output Feedback](https://invisiblenetwork.ai/learn/nptel/108106164/1cc832c3f21f) (Video)
42. [UIO](https://invisiblenetwork.ai/learn/nptel/108106164/b156a4a26022) (Video)
43. [Tutorial- 7 and 8 (combined)](https://invisiblenetwork.ai/learn/nptel/108106164/f4f058ee8ba4) (Video)
44. [Live Session 17-03-2021](https://invisiblenetwork.ai/learn/nptel/108106164/17354432b78a-2) (Video)