This paper investigates the stability issues associated with neutral-type delay systems. Firstly, delay-partitioning method is employed to construct a brand-new LK-functional candidate. The discrete and neutral are divided into several piecewise points through relaxable sequence of constant numbers, increasing at steady rate not larger than 1. Secondly, fully use interconnection information amo...

We have measured the second order correlation function [g^{(2)}(τ)] of the cathodoluminescence intensity resulting from the excitation by fast electrons of defect centers in wide band-gap semiconductor nanocrystals of diamond and hexagonal boron nitride. We show that the cathodoluminescence second order correlation function g^{(2)}(τ) of multiple defect centers is dominated by a large, nanoseco...

The simultaneous effects of inulin addition (0-4%w/w), probiotic inoculum level (1-3%v/v) and fermentation temperature (37-45°C) on the dynamic rheological properties of probiotic non-fat yogurt were studied using response surface methodology. Frequency sweep tests were performed to measure structure strength and type of structure. Linear viscoelastic range in term of strain (LVE), structure st...

the leaves of arum conophalloides (araceae) were used in some west areas of iran as a dessert. the aerial parts of the herb were collected from sahneh mountains, kermanshah province, west of iran and was hydrodistilled by klevenger-type apparatus. composition of the essential oil was determined by gc and gc/ms. totally, 18 components (92% of total essential oil) were identified. the oil contain...

ion In concurrency theory it is often useful to distinguish between internal actions, that do not admit interactions with the outside world, and external ones. As normally there is no need to distinguish the internal actions from each other, they all have the same name, namely τ . If A is the set of external actions a certain class of systems may perform, then Aτ := A . ∪ {τ}. Systems in that c...

In this work, we focused mainly in the analysis of stability of a non-endoreversible Curzon-Ahlborn engine working in an ecological regime. For comparison purposes we also include the Maximum Efficient Power (MEP) regime taking into account the engine time delays. When the system’s dynamic stability is compared with its thermodynamics properties (efficiency and power output), we find that the t...

Takens’ time delay embedding theorem is shown to hold for finitedimensional subsets of infinite-dimensional spaces, thereby generalising previous results which were only valid for subsets of finite-dimensional spaces: Let X be a subset of a Hilbert space with upper box-counting dimension d and ‘thickness exponent’ τ , which is invariant under a Lipschitz map Φ. Suppose that E , the set of all f...

and Applied Analysis 3 delay. In the end, an example is provided to illustrate the effectiveness and the advantages of the results obtained. 2. Preliminaries Let R denote the set of real numbers, R the set of nonnegative real numbers, Z the set of positive integers, and R the n-dimensional real space equipped with the Euclidean norm | · |. Let τ > 0 and PC −τ, 0 ;R {φ : −τ, 0 → Rn|φ t φ t for a...

and Applied Analysis 3 say, there is a parameter sequence (ρ 1 , . . . , ρ K ), which satisfies the following conditions: 0 < ρ 1 τ (t) < ρ2τ (t) < ⋅ ⋅ ⋅ < ρKτ (t) < τ (t) , 0 ≤ ρ i ̇ τ (t) ≤ ρiμ, (9) where ρ i ∈ (0, 1), i = 1, 2, . . . , K, K is positive integer. Utilizing the useful information ofK+1 dynamical subintervals, a novel LKF is constructed, and then a newly LMIbased delay-dependent ...