4. Input-output analysis🔗

In the previous section, we investigated stability of dynamical systems. In applications however, we are interested in the following setting: we have have an input function that feeds into the ODE and we extract an output from the state.

This section follows the book "L2-gain and Passivity Techniques in Nonlinear Control" by Arjen van der Schaft, in particular Chapter 1 and Chapter 2.

1. 4.1. Input-output maps
2. 4.2. Causality
3. 4.3. Stability
4. 4.4. Dissipation inequalities and passivity