ABSTRACT
Stability theory plays a central role in systems theory and engineering. It deals with the system’s behavior over a long time period. There are several ways to characterize stability. For example, wemay characterize stability from an input-output viewpoint, by requiring the output of a system to be “well-behaved” in some sense, whenever the input is well behaved. Alternatively, we may characterize stability by studying the asymptotic behavior of the state of the system near steady-state solutions, like equilibrium points or periodic orbits.
