Nullor-Based Inversion of MIMO Circuital Systems

Nullors have already demonstrated their efficacy in designing the inverse of a given circuital system in the Single-Input Single-Output (SISO) case. These inverse systems have found diverse applications, ranging from analog electronics, particularly in chaos synchronization, to digital signal processing, for the development of transducer virtualization algorithms. In this brief, we extend the nullor-based circuit inversion approach to the Multiple-Input Multiple-Output (MIMO) case. In particular, we generalize Leuciuc's theorem, originally applicable to SISO systems, to the class of MIMO circuital systems whose input and output signals share the same vector space dimension. The validity of the presented theoretical result is verified in different linear and nonlinear application scenarios.