This paper studies the asymptotic stability of global solutions three-dimensional nonisentropic compressible Navier–Stokes equations, where initial data satisfy “well-prepared” conditions, and velocity field temperature Dirichlet boundary condition convective condition, respectively, based on incompressible limit solutions. With uniform estimates with respect to both Mach number <math xmlns="ht...

Abstract— The stability analysis problem is studied in this paper for a class of discrete-time switched time-delay systems described by delayed recurrence equations or a state matrix transformed after under the arrow form, by applying the comparison, the aggregations techniques and the M-matrix properties, new asymptotic stability conditions of such systems are derived under arbitrary switching...

The dynamics of cortical cognitive maps developed by self-organization must include the aspects of long and short-term memory. The behavior of the network is such characterized by an equation of neural activity as a fast phenomenon and an equation of synaptic modification as a slow part of the neural biologically relevant system. We present new stability conditions for analyzing the dynamics of...

In this paper we demonstrate that a passive vibration strategy can bring a 1 degree of freedom ball to a known trajectory from all possible initial configurations. We draw motivation from the problem of parts feeding in sensorless assembly. We provide simulation results suggesting the relevance of our analytical results to the parts feeding problem. Comments Copyright 1995 IEEE. Reprinted from ...

We consider a class of nonlinear differential equations that arises in the study of chemical reaction systems known to be locally asymptotically stable and prove that they are in fact globally asymptotically stable. More specifically, we will consider chemical reaction systems that are weakly reversible, have a deficiency of zero, and are equipped with mass action kinetics. We show that if for ...

In this note, we consider the following rational difference equation: xn+1 = f (xn−r1 , . . . , xn−rk )g(xn−m1 , . . . , xn−ml )+ 1 f (xn−r1 , . . . , xn−rk )+ g(xn−m1 , . . . , xn−ml ) , n= 0,1, . . . , where f ∈ C((0,+∞)k, (0,+∞)) and g ∈ C((0,+∞)l, (0,+∞)) with k, l ∈ {1,2, . . .}, 0 r1 < · · ·< rk and 0 m1 < · · ·<ml , and the initial values are positive real numbers. We give sufficient con...

A number of congestion control schemes which adopt the max-min fairness criterion and do not require maintenance of per flow states within the network have been proposed in literature. The stability of some of these schemes in networks of arbitrary topology, has been established analytically only for small deviations about the equilibrium point. The establishment of global asymptotic stability ...

We wish to generalize van Kampen’s theorem to include nonautonomous master equations. Such a theorem is important in applications, e.g. in ion channel kinetics, where subunit opening and closing rates are subject to external forces (e.g. membrane voltage) and are therefore often unavoidably nonautonomous. There are two issues to consider when moving to the nonautonomous case. The first is that,...