In this paper, a new virtual leader following consensus protocol is introduced to perform the internal and string stability analysis of longitudinal platoon of vehicles under generic network topology. In all previous studies on multi-agent systems with generic network topology, the control parameters are strictly dependent on eigenvalues of network matrices (adjacency or Laplacian). Since some ...

among structured peer-to-peer systems, chord has a general popularity due to its salient features like simplicity, high scalability, small path length with respect to network size, and flexibility on node join and departure. however, chord doesn’t take into account the topology of underlying physical network when a new node is being added to the system, thus resulting in high routing latency an...

We discuss simulation results concerning the performance of the TCP protocol when running over high-speed ATM networks. Two network topologies are considered: a simple network topology, comprising just two ATM switches and supporting 3 TCP connections, and a candidate Italian ATM network topology comprising ten ATM switches and supporting 6 TCP connections. In all simulation scenarios the TCP t...

Cascade phenomena, which are sequences of adoption by agents, are the important driven forces for the society to make a successful diffusion of innovation. Cascade phenomena on complex networks occur under a range of conditions (or known as cascade windows) defined by both the average degree of the underlying network topology and the threshold of each agents(or nodes). In this paper, we obtain ...

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...

this paper explains a model for analyzing and measuring the propagation of order amplifications (i.e. bullwhip effect) for a single-product supply network topology considering exogenous uncertainty and linear and time-invariant inventory management policies for network entities. the stream of orders placed by each entity of the network is characterized assuming customer demand is ergodic. in fa...

Let F:R^n -> R be a feedforward ReLU neural network. It is well-known that for any choice of parameters, F continuous and piecewise (affine) linear. We lay some foundations systematic investigation how the architecture impacts geometry topology its possible decision regions binary classification tasks. Following classical progression smooth functions in differential topology, we first define no...