There is a strong case for electrical network topologists and submodular function theorists
being aware of each other's fields. Presenting a topological approach to electrical network …

This paper studies the partitions on which a function (μ− λ)(Π)≡∑ N i∈ Π (μ− λ)(N i)
reaches a minimum when μ is a submodular function and λ takes values between−∞ and∞ …

In this paper, PDEs are modeled by an electrical equivalent circuit generated from the
equations arising from the finite element method (FEM). This allows the solution of PDEs to …

One of the fundamental open problems in control theory is that of the stabilization of a linear
time invariant dynamical system through static output feedback. We are given a linear …

This paper attempts to put the notion of “network decomposition into multiports” in electrical
network theory on a rigorous mathematical footing. This is done by first defining the notion of …

In this paper, we present some applications of an Implicit Duality Theorem which was
originally a folklore result on Ideal Transformers in Electrical Network Theory. We show …

In this paper we introduce a technique for dealing with implicitly defined complementary
orthogonal spaces. Using this technique we give a unified construction of various types of …

In this paper we consider a linking operation between matroids, defined as MSP↔
MS=(MSP∨ MS)× P, where MSP and MS are matroids on sets S∪ P and S respectively …

In this paper we present an approach to linear dynamical systems which combines the
positive features of two well known formulations, namely, standard state space theory (see …

Linear systems often involve, as a basic building block, solutions of equations of the
form\begin {align*} A_Sx_S&+ A_Px_P= 0\\A'_Sx_S &= 0,\end {align*} where our primary …