| S. No. | Date | Topic | Suggested Reading | Homework |
| 1 | Week 1
(Jul 25) | Introduction to Dynamics
Phase Plane Analysis
Linear Systems | | |
| 2 | Week 2
(Jul 28, Aug 1) | Classification of Equilibria,
Linearization,
Existence & Uniqueness | Strogatz 5.1-5.2, 6.1-6.3 | HW1
Solutions |
| 3 | Week 3
(Aug 5, 8) | Stable, unstable & center manifolds
Limit Cycles & Oscillations
van der Pol oscillator
Poincare-Bendixson Theorem
Bifurcations | Strogatz 6.4
Strogatz 7.0-7.3
Strogatz 8.0 | |
| 4 | Week 4
(Aug 12) | Saddle-node, Pitchfork,
Transcritical, Hopf | Strogatz 8.1-8.2 | HW2
Solutions |
| 5 | Week 5
(Aug 19, 22) | Lyapunov Stability
Stability definitions
Positive definite Functions
Lyapunov Functions
Lyapunov's Theorem | Lecture Notes
Optional: Slotine & Li 3.1-3.4 | |
| 6 | Week 6
(Aug 26,
Aug 29 - MINOR TEST 1) | Lyapunov's Theorem (Global)
Invariant Sets
La Salle's Invariance Principle | Lecture Notes
Optional: Slotine & Li 3.4 | HW3
Solutions |
| 7 | Week 7
(Sep 5) | La Salle's Invariance Principle
MINOR TEST 1 Solutions | | |
| 8 | Week 8
(Sep 9, 12) | Passivity
Circle Criterion | Lecture Notes Part 1 & Part 2
Optional: Slotine & Li 4.7-4.8 | |
| 9 | Week 9
(Sep 16, 19) | Describing Functions | Lecture Notes Part 1 & Part 2
Optional: Slotine & Li Ch. 5 | |
| 10 | Week 10
(Sep 23, 26) | Averaging & Perturbation | Lecture Notes Part 1 & Part 2
Optional: Khalil Ch. 10 | |
| 11 | Week 11
(Sep 30, Oct 3
Oct 6 - MINOR TEST 2) | Singular Perturbations
Overview of Nonlinear Control | Lecture Notes
Optional: Khalil Ch. 11
Lecture Notes | |
| 12 | Week 12
(Oct 10) | MINOR TEST 2 Solutions
Feedback Linearization
Examples | Lecture Notes
Optional: Slotine & Li 6.1.1-6.1.2 | |
| 13 | Week 13
(Oct 17) | Internal Dynamics | Optional: Slotine & Li 6.1.3 | |
| 14 | Week 14
(Mid-Semester Break) | | | |
| 15 | Week 15
(Oct 28, 31) | Lie Derivatives & Brackets
Input-State Linearization | Optional: Slotine & Li 6.2-6.3 | |
| 16 | Week 16
(Nov 7) | Sliding Control | Lecture Notes
Optional: Slotine 7.1.1 | |
| 17 | Week 17
(Nov 11
Nov 13 - Projects) | | Optional: Slotine 7.1.3 | |
| 18 | Week 18
(Nov 18, 21) | Course Review | |
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