Extends the Kvalheim-Sontag generalized global Hartman-Grobman theorem to asymptotically stable semiflows generated by possibly discontinuous vector fields without requiring hyperbolicity.
Asymptotic stability equals exponential stability, and ISS equals finite energy gain—if you twist your eyes
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A generalized global Hartman-Grobman theorem for asymptotically stable semiflows
Extends the Kvalheim-Sontag generalized global Hartman-Grobman theorem to asymptotically stable semiflows generated by possibly discontinuous vector fields without requiring hyperbolicity.