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)

 

Problem Set 2 (PDF)

(PDF)

 

Problem Set 3 (PDF)

(PDF)

 

Problem Set 4 (PDF)

(PDF)

 

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)

 

 

 

Exams

EXAMS

SOLUTIONS

Take-Home Test 1 (PDF)

(PDF)

Take-Home Test 2 (PDF)

(PDF)