Multilevel inverters have been developed due to limitations of the conventional two-level voltage source inverters (VSIs). Most of the topologies of multilevel inverters that have been presented in the literature are based on the sharing of the rated voltage between the switches so that the switches with lower voltage ratings can be used. In these topologies, the current rating of all of the sw...

The purpose of this paper is to construct a weak hyper semi-quantale as a generalization of the concept of semi-quantale and used it as an appropriate hyperlattice-theoretic basis to formulate new lattice-valued topological theories. Based on such weak hyper semi-quantale, we aim to construct the notion of a weak hypervalued-topology as a generalized form of the so-called lattice-valued t...

In 2002, Császár [1] introduced the notions of generalized topology and generalized continuity. In 2008, Császár [3] defined an enlargement and construct the generalized topology induced by an enlargement; introduced the concept of (κ, λ)-continuity and (κμ, λμ)continuity on enlargements. In 2008, Császár [4] defined and studied the notions of product of generalized topologies. In 2010, S. Mara...

By using the Pervin relations, we show that all minimal structures, generalized topologies, and ascending systems can be naturally derived from generalized uniformities. Therefore, they need not be studied separately.

Based on the theory of Fermat reals we introduce new topologies on spaces of Colombeau generalized points and derive some of their fundamental properties. In particular, we obtain metric topologies on the space of near-standard generalized points that induce the standard Euclidean topology on the reals. We also give a new description of the sharp topology in terms of the natural extension of th...

This paper focuses on a generalized two-layer network and its synchronizability, which randomly generate different topologies at each layer. kind of can better describe some irregular networks in reality. From the master stability function method synchronization analysis, we estimate largest eigenvalue lowest nonzero supra-Laplacian matrix. Then, influence node coupling strength synchronizabili...