6.243J | Fall 2003 | Graduate

Dynamics of Nonlinear Systems

Lecture Notes

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)
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes