In this chapter, we consider the problem of global stability of nonlinear sampled-data systems. Sampled-data systems are a form of hybrid model which arises when discrete measurements and updates are used to control continuous-time plants. In this paper, we use a recently introduced Lyapunov approach to derive stability conditions for both the case of fixed sampling period (synchronous) and the...

Consider the random Dirichlet partition of the interval into n fragments with parameter θ > 0. We recall the unordered Ewens sampling formulae from finite Dirichlet partitions. As this is a key variable for estimation purposes, focus is on the number of distinct visited species in the sampling process. These are illustrated in specific cases. We use these preliminary statistical results on freq...

The Importance of this paper is to account for the possibility dependence among items a sample. development new method designing sampling plans based on range quality instead point-wise description by invoking novel approach called Quality Regions. This seems be versatile and can adapted elementary production process where stipulated level advisable fix at later stage provides procedure meant i...