Identifiability of Nonlinear Systems with Hysteretic Elements

This paper is concerned with the conditions under which deterministic systems containing a hysteresis-type nonlinearity are identifiable from input-output measurements. The approach to the problem requires that identifiability conditions for appropriately defined nearly-equivalent systems be obtained initially. Then conditions under which identifiability of the nearly-equivalent nonlinear (but non-hysteretic) system imply the identifiability of the original hysteretic system are obtained. Sufficient conditions for identibiability of these systems are presented.