and Applied Analysis 3 a splitting procedure of the box of reflection coefficients, new conditions for the Schur stability are given. The application of Theorem 1.2 for determining the stability of polynomials with multilinear coefficients yield conservative results. In 8, 9 sufficient conditions are given for ensuring that the image of a multilinear function over the box Q is a convex polygon ...

Min-max systems are natural extensions of the well known (max,plus) linear discrete event dynamic system (DEDS) models. They are motivated by recent research on digital circuits and communication networks. In this paper, we study the robust stability of a family of min-max systems whose parameters are perturbed in intervals. In the spirit of Kharitonov, we first reduce the robust stability test...

For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distributed delays. For these models, we establish sufficient conditions for their global exponential stab...

The semi-classical stability of several AdS NUT instantons is studied. Throughout, the notion of stability is that of stability at the one-loop level of Euclidean Quantum Gravity. Instabilities manifest themselves as negative eigenmodes of a modified Lichnerowicz Laplacian acting on the transverse traceless perturbations. An instability is found for one branch of the AdS-Taub-Bolt family of met...