Identification of hysteric control influence operators representing smart actuators. I: Formulation (Q1267828)

The authors investigate a second order evolution equation in Hilbert space \[ \ddot{w}(t) + A_1(q)\dot{w}(t) + A_0(q)w(t) = [B_\mu(u,f)](t) \] where \(B_\mu(u,f)(t) = P_\mu(u,f)g\), \(g\) is a fixed element and \(P_\mu(u,f)\) is a scalar hysteresis operator. They consider variants of the Preisach model and prove that, for a two-parameter integral of generalized plays, the corresponding identification problem has a solution.