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Course10810616444 lectures

Linear Dynamical Systems

Prof. Tushar Jain · IIT Mandi

Start with lecture 1 At NPTEL

Lectures

Week 1

  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

Week 2

  1. Introduction to Stability Analysis Video
  2. Lyapunov Stability (Part-I) Video
  3. Lyapunov Stability (Part-II) Video
  4. Proof of lyapunov stability theorem Video
  5. BIBO vs Lyapunov Stability Video
  6. BIBO vs Lyapunov Stability Video
  7. Tutorial-2 Video

Week 3

  1. Introduction to Controllability Video
  2. Reachability and Controllability Gramians Video
  3. Controllability Matrix Video
  4. Discrete-time Reachability and Controllability Gramians Video
  5. Tests for controllability-I Video
  6. Tests for controllability-II Video
  7. Tutorial-3 Video

Week 4

  1. Tests for controllability-III Video
  2. Tests for controllability-IV Video
  3. Controllable Decomposition-I Video
  4. Stabilizable Systems Video
  5. Tests for Stabilizability Video
  6. Tutorial-4 Video

Week 5

  1. State Feeback- I Video
  2. State Feeback-II Video
  3. Lyapunov Method of State Feedback Design Video
  4. Regulation and Tracking Video
  5. Tutorial-5 Video

Week 6

  1. Robust Tracking and Disturbance Rejection Video
  2. State Feedback design for Multi-input systems Video
  3. Linear Quadratic Regulator Video
  4. Tutorial-6 Video

Week 7

  1. Output feedback and observability Video
  2. Duality and Observability tests Video
  3. Decompostions and Detectability Video
  4. Minimal Realisations Video

Week 8

  1. Observer Design and Output Feedback Video
  2. Observer Design and Output Feedback Video
  3. UIO Video
  4. Tutorial- 7 and 8 (combined) Video

Live Session

  1. Live Session 17-03-2021 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Mandi
Department
Electrical Engineering
Teacher
Prof. Tushar Jain
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
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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