Uniqueness of a Solution to Problems of Identification of Mathematical Heat-Transfer Models with Lumped Parameters

An analysis has been made of the problem of identification of mathematical heat-transfer models with lumped parameters that have a nonunique solution. The authors have investigated the possibility of restoring conditionally the uniqueness of a solution to such a problem with supplementary conditions for the selection of solutions in the form of linearly independent time functions of temperature that can be obtained in one experiment with relevant designing, Consideration has been given to the applicability of iteration-regularization methods with a vector regularization parameter to identifying a full set of functions of a thermal-state matrix of mathematical models with lumped parameters. On the basis of computational experiments, the capabilities of a variational principle of selection of solutions for conditionally correct identification problems have been demonstrated.