Dynamics of Nonlinear Systems
Lecture Notes
LEC # |
TOPICS |
1 |
Input/Output and State-Space Models (PDF) |
2 |
Differential Equations as System Models (PDF) |
3 |
Continuous Dependence on Parameters (PDF) |
4 |
Analysis Based on Continuity (PDF) |
5 |
Lyapunov Functions and Storage Functions (PDF) |
6 |
Storage Functions and Stability Analysis (PDF) |
7 |
Finding Lyapunov Functions (PDF) |
8 |
Local Behavior at Equilibria (PDF) |
9 |
Local Behavior Near Trajectories (PDF) |
10 |
Singular Perturbations and Averaging (PDF) |
11 |
Volume Evolution and System Analysis (PDF) |
12 |
Local Controllability (PDF) |
13 |
Feedback Linearization (PDF) |
Assignments
ASSIGNMENTS |
SOLUTIONS |
SUPPORTING FILES |
Problem Set 1 (PDF) |
(PDF) |
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Problem Set 2 (PDF) |
(PDF) |
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Problem Set 3 (PDF) |
(PDF) |
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Problem Set 4 (PDF) |
(PDF) |
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Problem Set 5 (PDF) |
(PDF) |
hw5_4_6243_2003.m (M) |
Problem Set 6 (PDF) |
(PDF) |
hw6_3_6243_2003.m (M) |
Problem Set 7 (PDF) |
(PDF) |
hw7_1_6243_2003.m (M) |
Problem Set 8 (PDF) |
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Exams
EXAMS |
SOLUTIONS |
Take-Home Test 1 (PDF) |
(PDF) |
Take-Home Test 2 (PDF) |
(PDF) |