arxivmath.OCeess.SY2026-07-04
Stability of input-output maps and their minimal realizations in state-linear, state-affine, LPV, and linear switched systems
Mihály Petreczky, Juan-Pablo Ortega, Florian Rossmannek, Bálint Daróczy
Stability is often assumed in learning and identification, yet it is rarely characterized directly from input--output data. We show that an input--output family admits a stable finite-dimensional state-linear realization iff it has finite Hankel-rank and its response decays unifo…