In this paper, a group consensus problem is investigated for the heterogeneous agents that are governed by the Euler–Lagrange system and the double-integrator system, respectively, and the parameters of the Euler–Lagrange system are uncertain. To achieve group consensus, a novel group consensus protocol and a time-varying estimator of the uncertain parameters are proposed. By combining algebrai...

A class of upwind flux splitting methods in the Euler equations of compressible flow is considered in this paper. Using the property that Euler flux F (U) is a homogeneous function of degree one in U , we reformulate the splitting fluxes with F+ = A+U , F− = A−U , and the corresponding matrices are either symmetric or symmetrizable and keep only non-negative and non-positive eigenvalues. That l...

We study canonical central extensions of the general linear group ring adeles on a smooth projective algebraic surface $X$ by means integers. By these and adelic transition matrices rank $n$ locally free sheaf ${\mathcal O}_X$-modules we obtain local (adelic) decomposition for difference Euler characteristics this O}_X^n$. Two various calculations lead to Riemann-Roch theorem (without Noether f...

We construct and analyze the backward Euler method for one nonlinear one-dimensional parabolic equation with nonlocal boundary condition. The main objective of this article is to investigate stability convergence difference scheme in maximum norm. For purpose, we use M-matrices theory. describe some new approach estimation error solution majorant it. Some conclusions discussion our are presented.

In quantum mechanics, sets of density matrices are important for numerous reasons. For example, their compact notation make them useful for describing decoherence and entanglement properties of multi-particle quantum systems. In particular, two two-state density matrices, otherwise known as two qubit density matrices, are important for their role in explaining quantum teleportation, dense codin...

In this paper we derive the singularity-free dynamic equations of vehiclemanipulator systems using a minimal representation. These systems are normally modeled using Euler angles, which leads to singularities, or Euler parameters, which is not a minimal representation and thus not suited for Lagrange’s equations. We circumvent these issues by introducing quasi-coordinates which allows us to der...

In quantum mechanics, sets of density matrices are important for numerous reasons. For example, their compact notation make them useful for describing decoherence and entanglement properties of multi-particle quantum systems. In particular, two two-state density matrices, otherwise known as two qubit density matrices, are important for their role in explaining quantum teleportation, dense codin...

In quantum mechanics, sets of density matrices are important for numerous reasons. For example, their compact notation make them useful for describing decoherence and entanglement properties of multi-particle quantum systems. In particular, two two-state density matrices, otherwise known as two qubit density matrices, are important for their role in explaining quantum teleportation, dense codin...

The paper deals with Euler'sand Taylor's expansion methods for next numerical solution in Matlab environment. There are many applications in technical practise described and modelled by linear or non-linear differential equation (DE) systems. A fictitious exciting functions method makes possible numerical solution of this DE system with non-stationary matrices. The solution of examples with non...

This paper deals with a port-Hamiltonian (pH) formulation of the non-isothermal compressible Euler equations for pipe flow. In pH-framework physical properties, like mass conservation and energy dissipation, are encoded in system structure. Applying structure-preserving Galerkin approximation mixed finite elements space yields nonlinear state-dependent matrices. Assembly these matrices each tim...