The aim of this paper is to open a new way of modelling non-exchangeable random variables with a class of Archimax copulas. We investigate a connection between powers of generators and dependence functions, and propose some construction methods for dependence functions. Application to different hydrological data is given.
The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable.
This paper investigates the non-fragile state estimation problem for a class of discrete-time T-S fuzzy systems with time-delays and multiple missing measurements under event-triggered mechanism. First of all, the plant is subject to the time-varying delays and the stochastic disturbances. Next, a random white sequence, the element of which obeys a general probabilistic distribution defined on [0,1], is utilized to formulate the occurrence of the missing measurements. Also, an event generator function is employed to regulate the transmission of data to save the precious energy. Then, a non-fragile state estimator is constructed to reflect the randomly occurring gain variations in the implementing process. By means of the Lyapunov-Krasovskii functional, the desired sufficient conditions are obtained such that the Takagi-Sugeno (T-S) fuzzy estimation error system is exponentially ultimately bounded in the mean square. And then the upper bound is minimized via the robust optimization technique and the estimator gain matrices can be calculated. Finally, a simulation example is utilized to demonstrate the effectiveness of the state estimation scheme proposed in this paper.
This paper is concerned with the non-fragile sampled data H∞ filtering problem for continuous Markov jump linear system with partly known transition probabilities (TPs). The filter gain is assumed to have additive variations and TPs are assumed to be known, uncertain with known bounds and completely unknown. The aim is to design a non-fragile H∞ filter to ensure both the robust stochastic stability and a prescribed level of H∞ performance for the filtering error dynamics. Sufficient conditions for the existence of such a filter are established in terms of linear matrix inequalities (LMIs). An example is provided to demonstrate the effectiveness of the proposed approach.
We generalize the concept of an $(r,s,q)$-jet to the concept of a non-holonomic $(r,s,q)$-jet. We define the composition of such objects and introduce a bundle functor ${\tilde{J}}^{r,s,q}\: \mathcal{F}\mathcal{M}_{k,l} \times \mathcal{F}\mathcal{M}$ defined on the product category of $(k,l)$-dimensional fibered manifolds with local fibered isomorphisms and the category of fibered manifolds with fibered maps. We give the description of such functors from the point of view of the theory of Weil functors. Further, we introduce a bundle functor $\tilde{J}^{r,s,q}_1\: 2\text{-}\mathcal{F}\mathcal{M}_{k,l} \rightarrow \mathcal{F}\mathcal{M}$ defined on the category of $2$-fibered manifolds with $\mathcal{F}\mathcal{M}_{k,l}$-underlying objects.
Using electrical penetration graphs to monitor aphid feeding, it was shown that volatiles of a non-host plant (alfalfa, Medicago sativa L.) did not disrupt the process of host acceptance by alate virginoparae of the birdcherry-oat aphid, Rhopalosiphum padi L., once it was settled on a host plant (wheat, Triticum aestivum L.).
Anthracyclines represent one of the important classes of anti-cancer drugs; however, their major disadvantage is their profound cardiovascular toxicity. This study aimed to evaluate influence of anthracyclines on cardiovascular stiffness parameters estimated from pulse wave (PW). PW was measured in 59 cancer survivors treated with anthracyclines in childhood and in 248 healthy age-matched controls. Both patients and controls were divided into three age groups (13 – 15, 16 – 18 and 19 – 24 years). Central PW augmentation index (C-AI75) and augmentation pressure (C-AP75), both normalized to heart rate 75 bpm, were calculated as parameters of arterial wall stiffness. Central Buckberg sub-endocardial viability ratio (SEVR) was calculated as a parameter of diastolic function. Patients and controls were compared in each age group. C-AI75 and C-AP75 were significantly increased in patients in age groups 16 – 18 and 19 – 24 years. SEVR was decreased in patients in the oldest age group. Our results suggest that although toxic influence of
anthracyclines to arterial wall and heart are developing during childhood and puberty, they can be detected rather in the adulthood. These changes are yet subclinical; however, their presence indicates potentially increased cardiovascular risk in childhood cancer survivors treated with anthracyclines during childhood.
PURPOSE: Taking into account the fact that Goldmann applanation tonometry (GAT) geometrically deforms the corneal apex and displaces volume from the anterior segment whereas Dynamic Contour Tonometry (DCT) does not, we aimed at developing an algorithm for the calculation of ocular rigidity (OR) based on the differences in pressure and volume between deformed and non-deformed status according to the general Friedenwald principle of differential tonometry. METHODS: To avoid deviations of GAT IOP from true IOP in eyes with corneas different from the "calibration cornea" we applied the previously described Orssengo-Pye algorithm to calculate an error coefficient "C/B". To test the feasibility of the proposed model, we calculated the OR coefficient (r) in 17 cataract surgery candidates (9 males and 8 females). RESULTS: The calculated r according to our model (mean ± SD, range) was 0.0174 ± 0.010 (0.0123-0.022) mmHg/μL. A negative statistically significant correlation between axial length and r was detected whereas correlations between r and other biometric parameters examined were statistically not significant. CONCLUSIONS: The proposed method may prove a valid non-invasive tool for the measurement method of OR, which could help in introducing OR in the decision-making of the routine clinical practice. and E. T. Detorakis, E. Tsaglioti, G. Kymionis