On numerical solution of one class of inverse problems for discontinuous dynamic systems

Consideration was given to a class of problems that are inverse to the dynamic processes described by the discontinuous systems of ordinary differential equations changing their form depending on the membership of the current process state to one or another subdomain of the state space. In this problem, it is both the object parameters and the surfaces themselves defining the boundaries of the sub-domains where the differential equations retain their form that are identified as the object parameters.