A new time-domain interpretation of Bode's integral is presented. This allows for a generalization to the class of time-varying systems which possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the Lyapunov exponents of the open-loop system which take the place of the magnitude of the open-loop poles.
- Discrete-time systems
- Lyapunov exponents
- Time-varying systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering