Scientists and societal leaders increasingly agree that human activity is irretrievably changing the environment in which human life and other life forms co-exist. Action to reduce human impact on the environment is an imperative prerequisite to achieving social stability. Accelerating migration patterns due to environmental stress and population pressure have been associated with emerging conf...

It is proved that a general open multi-class queueing network with the Global preempt-resume Last-In-First-Out (G-LIFO) multi-channel discipline is stable under the standard sub-criticality condition j < rj . Here rj is the number of service channels and j = X (i;k)2Gj ivik the `nominal' load in node j; i is the exogenous rate of arrival of customers of class i and vik the mean service time of ...

We prove analytically that additive and parametric (multiplicative) Gaussian distributed white noise, interpreted in either the It6 or Stratonovich formalism, induces global asymptotic stability in two prototypical dynamical systems designated as supercritical (the Landau equation) and subcritical, respectively. In both systems without noise, variation of a parameter leads to a switching betwee...

In this paper, we consider the uniform asymptotic stability, global asymptotic stability and global exponential stability of the equilibrium point of discrete Hopfield neural networks with delays. Some new stability criteria for system are derived by using the Lyapunov functional method and the linear matrix inequality approach, for estimating the upper bound of Lyapunov functional derivative. ...