6.243J | Fall 2003 | Graduate

Dynamics of Nonlinear Systems


1 Input/Output and State-Space Models
2 Differential Equations as System Models
3 Continuous Dependence on Parameters
4 Analysis Based on Continuity
5 Lyapunov Functions and Storage Functions
6 Storage Functions and Stability Analysis
7 Finding Lyapunov Functions
8 Local Behavior at Eqilibria
9 Local Behavior Near Trajectories
10 Singular Perturbations and Averaging
11 Volume Evolution and System Analysis
12 Local Controllability
13 Feedback Linearization
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes