stabilityremain
Stabilityremain is a metric used in the analysis of dynamical systems to quantify how long a system remains within a predefined stability region after a disturbance. In this framing, the stability region is the set of states considered acceptable or safe, based on a Lyapunov bound, state constraints, or performance criteria. The stabilityremain is the time from the disturbance event to the first exit time from that region. In stochastic settings, researchers may report the expected stabilityremain or its distribution.
Variants include average stabilityremain, worst-case stabilityremain, and probabilistic stabilityremain, depending on whether the analysis uses deterministic
Computation typically relies on time-domain simulation to observe trajectories, reachability analysis to determine exit surfaces, or
Applications are described in control design, power systems, robotics, and ecological or financial models where a
Relationship to related concepts: stabilityremain is related to, but distinct from, stability margin, which measures robustness