Dynamics of Nonlinear Systems

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)

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)

Take-Home Test 1 (PDF)

(PDF)

Take-Home Test 2 (PDF)

(PDF)