FxT-ISS
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Related Articles from SNS
A Lyapunov-Based Small-Gain Theorem for Fixed-Time Stability
arXiv:2511.23474v2 Announce Type: replace Abstract: This paper introduces a novel Lyapunov-based small-gain methodology for establishing fixed-time stability (FxTS) guarantees in interconnected dynamical systems. Specifically, we consider interconnections in which each subsystem admits an individual fixed-time input-to-state stability (ISS) Lyapunov function that certifies FxT-ISS. We then show that if a nonlinear small-gain condition is satisfied, then the entire interconnected system is FxTS.