The stability of the equilibrium state is one crucial tests a hydrodynamic theory needs to pass. A widespread technique study this property consists searching for Lyapunov function linearised theory, in form quadratic energy-like functional. For relativistic fluids, explicit expression such functional often found by guessing and lacks clear physical interpretation. We present quick, rigorous sy...

We study the behavior of maximal term Dirichlet series with positive exponents sum which is an entire function. For class determined by a convex growth majorant we establish criterion for equivalence logarithms moduli original and modified outside some exceptional set.

Riddalls and Bennett (2002) presented a stability criterion for a supply chain model in continuous time. In this short technical note we show this solution is in error and provide the correct stability criterion. The results are substantiated by deriving the correct criterion from with several independent theoretical analyses and validating the solution via numerical simulation. The weight of e...

The multicriteria problem of majority choice on a system of subsets of a finite set with linear partial criteria (MINSUM) is considered. Sufficient and necessary conditions of preserving majority efficiency by an efficient trajectory under " small " perturbations of vector criterion coefficients have been found. Lower and upper attainable estimates of the stability radius of a majority efficien...

In this paper we propose a way to design continuous time Σ∆ modulators. The method is based on the Nyquist stability criterion. Based on this criterion we propose to use the vector gain margin as a robust stability margin. Using this margin as a design criterion we design a robustly stable modulator. Finally, we also show how this margin can be used to evaluate the relative stability of a desig...

In almost all the literatures, the qualitative assessment of transient angle stability extracts the angle information of generators based on the swing curve. As the angle (or angle difference) of concern and the threshold value rely strongly on the engineering experience, the validity and robust of these criterions are weak. Based on the stability mechanism from the extended equal area criterio...

This paper investigates the notion of stability for Stochastic Hybrid Systems. The uncertainty is introduced in the discrete jumps between the domains, as if we had an underlying Markov Chain. The jumps happen every fixed time T ; moreover, a result is given for the case of probabilistic dwelling times inside each domain. Unlike the more classical Hybrid Systems setting, the guards here are tim...