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)