Metallic foams have good potential for lightweight structures for impact and blast mitigation. Therefore it is important to find out the optimized foam structure (i.e. cell size, shape, relative density, and distribution) to maximise energy absorption. In this paper, quasistatic compression and microstructural characterization of closed-cell aluminium foams of different pore size and cell distr...

We present two main theorems along the lines of Lyapunov’s second method that guarantee asymptotic state consensus in multi-agent systems of agents in R with switching interconnection topologies. The two theorems complement each other in the sense that the first one is formulated in terms of the states of the agents in the multi-agent system, whereas the second one is formulated in terms of the...

We present a research article which formulates the milestones for the understanding and characterization of holonomy and topology of a discrete-time quantum walk architecture, consisting of a unitary step given by a sequence of two non-commuting rotations in parameter space. Unlike other similar systems recently studied in detail in the literature, this system does not present continous 1D topo...

Generalising Nachbin's theory of ``topology and order'', in this paper we   continue the study of quantale-enriched categories equipped with a compact   Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces   with ultrafilter-quantale-enriched categories, and show that the presence of a   compact Hausdorff topology guarantees Cauchy completeness and (suitably   defined) ...

This paper deals with the insertion of a dedicated path protection strategy in the design of a novel optical network structure, called PetaWeb, that can reach a total capacity of several Pb/s (10 bit/s). Prior studies of the same authors have tackled the optimization of a PetaWeb network architecture with a regular composite-star topology and with a quasi-regular topology. In this paper, a prot...

In the near future extremely large scale mobile adhoc networks of thousands or tens of thousands of mobile nodes will be physically feasible and desirable for a host of applications. However, routing within these networks is challenging, especially at high data rates and when node movement is highly-dynamic. In this work we present Topology Aware Geographic Routing (TAG), a position-based routi...

This work studies games with coupled constraints in general topology optical wavelengthdivision multiplexed (WDM) networks towards optimizing channel optical signal-to-noise ratio (OSNR). We first develop a model to describe the network and an OSNR model for each link by investigating the interaction between the network and physical layers. The nonlinear threshold is considered as the link capa...

In a classic paper, Smirnov [14] characterized the poset of compactifications of a completely regular space in terms of the proximities on the space. Later, Smyth [15] introduced the notion of a stable compactification of a T0-space and described them in terms of quasi-proximities on the space. Banaschewski [1] formulated Smirnov’s results in the pointfree setting, defining a compactification o...

A topological space (X, T) with property R is maximal R (minimal R) if T is a maximal (minimal) element in the set R(X) of all topologies on the set X having property R with the partial ordering of set inclusions. The properties of maximal topologies for compactness, countable compactness, sequential compactness, Bolzano-Weierstrass compactness, and Lindelöf are investigated and the relations b...

We study superpositions and direct integrals of quadratic Dirichlet forms. show that each quasi-regular space over a probability admits unique representation as integral irreducible spaces, for the same underlying topology. The holds strongly local metrizable Luzin, Radon measure space, admitting carr\'e du champ operator. In this case, is only projectively unique.