ON NONUNIFORM AND SEMI-UNIFORM INPUT-TO-STATE STABILITY FOR TIME VARYING SYSTEMS

Abstract In this work we discuss nonuniform and semi-uniform input-to-state stability (iss) properties for time-varying systems. Treating the iss properties for a time varying system as properties related to output stability for a time invariant auxiliary system, we provide several characterizations in terms of Lyapunov functions and the asymptotic gains; as well as a small gain theorem, for the time varying notions on input-to-state stability.

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