In this tutorial review paper we explain the concept of homomorphism and identify some
principles that justify homomorphism construction based on the homogeneity of structure …

We propose a framework to study the impact of stochastic active/reactive power injections on
power system dynamics with a focus on time scales involving electromechanical …

The PageRank algorithm employed at Google assigns a measure of importance to each
web page for rankings in search results. In our recent papers, we have proposed a …

This paper proposes an aggregation-based model reduction method for nonlinear models of
multi-zone building thermal dynamics. The full-order model, which is already a lumped …

In this paper we define a metric distance between probability distributions on two distinct
finite sets of possibly different cardinalities. The metric is defined in terms of a joint …

This paper is concerned with the model reduction for Markov chain models. The goal is to
obtain a low-rank approximation to the original Markov transition matrix. A nuclear-norm …

In this paper we investigate the relation between eigenvalue distribution and graph structure
of two classes of graphs: the (m, k)-stars and l-dependent graphs. We give conditions on the …

The reliability analysis of protection systems in smart substations helps to improve their
designed functions, whose difficulty lies in the complex configuration with various …

Our aim is to illustrate how to apply the methodology for characterizing the useful
approximation zone of a lum** process, as described in an earlier note in this journal …

The aim of this paper is to approximate a Finite-State Markov (FSM) process by another
process defined on a lower dimensional state space, called the approximating process, with …