Stability augmentation systems make the aircraft more stable. There are SASs for both the dynamic stability (whether the eigenmotions don’t diverge) and the static stability (whether the equilibrium position itself is stable). First, we’ll look at the dynamic stability: how can we effect the eigenmotion properties? Second, we’ll examine the static stability: how do we make sure an aircraft stay...

The price of anarchy [16] is by now a standard measure for quantifying the inefficiency introduced in games due to selfish behavior, and is defined as the ratio between the optimal outcome and the worst Nash equilibrium. However, this notion is well defined only for games that always possess a Nash equilibrium (NE). We propose the dynamic inefficiency measure, which is roughly defined as the av...

In this paper we explore the link between wealth inequality and stability in a two-sector neoclassical growth model with heterogeneous agents. The stability of the steady state depends on the various parameters of the model and in particular on individual preferences. We show that when consumers have identical preferences and the inverse of absolute risk aversion (or risk tolerance) is a strict...

A dynamic two-sided matching market is considered. We examine two existing notions of stability—the core and recursive core—for this multi-period market and argue that they both have limitations. We define two new notions of stability and label them, self-sustaining stability and strict self-sustaining stability. Both concepts can be viewed as the recursive core with more stringent conditions f...

The unification and extension of continuous calculus, discrete calculus, q-calculus, and indeed arbitrary real-number calculus to time-scale calculus, where a time scale is simply any nonempty closed set of real numbers, were first accomplished by Hilger in [4]. Since then, time-scale calculus has made steady inroads in explaining the interconnections that exist among the various calculuses, an...

Keywords: Differential equations Difference equations Stability Bohl–Perron theorem Linear delay dynamic equations Time scales Uniform exponential stability a b s t r a c t This paper is concerned with the uniform exponential stability of ordinary and delay dynamic equations. After revealing the equivalence between various types of uniform exponential stability definitions on time scales with b...