Bounded-input bounded-output stability conditions for fractional-order linear time-invariant (LTI) system with multiple noncommensurate orders have been established in this paper. The orders become noncommensurate orders when they do not have a common divisor. Sufficient and necessary conditions of stability for this kind of fractional-order LTI system with multiple noncommensurate orders. Base...

The consistent Lyapunov methodology enables us, after its single application, to solve completely the asymptotic (or, exponential) stability problem, to construct a system Lyapunov function and to determine accurately the domain of asymptotic stability. This is achieved in the paper for invariant sets of non-differentiable time-varying non-linear systems. The results (proved in details) present...

The Notch signalling pathway is fundamental to cell differentiation in developing and self-renewing tissues. Notch is activated upon ligand-induced conformational change of the Notch negative regulatory region (NRR), unmasking a key proteolytic site (S2) and facilitating downstream events. The favoured model requires endocytosis of a tightly bound ligand to transmit force to the NRR region, suf...

This paper presents a general approach for the stability analysis of the time-domain finite-element method (TDFEM) for electromagnetic simulations. Derived from the discrete system analysis, the approach determines the stability by analyzing the root-locus map of a characteristic equation and evaluating the spectral radius of the finite element system matrix. The approach is applicable to the T...

the study of stability problems of functional equations was motivated by a question of s.m. ulam asked in 1940. the first result giving answer to this question is due to d.h. hyers. subsequently, his result was extended and generalized in several ways.we prove some hyperstability results for the equation g(ax+by)+g(cx+dy)=ag(x)+bg(y)on restricted domain. namely, we show, under some weak natural...

in this paper, a viscous flow simulation is presented using the lattice boltzmann equation (lbe). a finite volume approach is adapted to discretize the lbe on a cell-centered, arbitrary shaped, rectangular tessellation. the formulation includes upwind scheme and high order descretization schemes for the flux term and collision operator respectively. a consistent open and solid boundary treatmen...

in this paper, optimum location of power system stabilizers in order to damp inter-area oscillations has been investigated by using modal series method. nonlinear effects grow in dynamical behaviors of heavily loaded stressed power systems significantly. hence linear based methods and techniques no longer present clear and exact response of the systems. in this article by defining new nonlinear...

This paper presents cutting force prediction algorithm for low immersion end-milling, using an efficient dynamic force modeler. The geometric simulation of milling process was performed, using the B-Rep solid modeling techniques. For predicting stability lobes, two methods were used for prediction of stability lobes: the frequency domain technique and the time finite element analysis (TFEA). Th...

This paper provides a link between time-domain and frequency-domain stability results in the literature. Specifically, we focus on the comparison between stability results for a feedback interconnection of two nonlinear systems stated in terms of frequency-domain conditions. While the Integral Quadratic Constrain (IQC) theorem can cope with them via a homotopy argument for the Lurye problem, gr...

The high proliferation rate of tumor cells demands high energy and metabolites that are sustained by a high glycolytic flux known as the 'Warburg effect'. The activation and further metabolism of glucose is initiated by hexokinase, a focal point of metabolic regulation. The human hexokinase 2 (HK2) is overexpressed in all aggressive tumors and predominantly found on the outer mitochondrial memb...