Abstract/Summary

In modern industrial networks, important source terms are monitored during operations. Due to the shortage of sensors or changes of components and connections, all the source terms may not be uniquely detected. This paper is dealt with the problem of partial and full detection of source terms in linear systems. The existence of a partially unique solution for a linear system is analyzed and an algorithm is proposed to identify the maximum set of unique partial solutions. Furthermore, an algorithm is developed to achieve the minimum realization of a unique full solution with additional measurements. The proposed methods are demonstrated through numerical examples and applied to a circuit analysis problem and a source term estimation problem in chemical industrial parks.