The synchronous generator, as the main component of power systems, plays a key role in these system’s stability. Therefore, utilizing the most effective control strategy for modeling and control the synchronous generator results in the best outcomes in power systems’ performances. The advantage of using a powerful controller is to have the synchronous generator modeled and controlled as well as its main task i.e., stabilizing power systems. Since the synchronous generator is known as a complicated nonlinear system, modeling and control of it is a difficult task. This paper presents a sum of squares (SOS) approach to modeling and control the synchronous generator using polynomial fuzzy systems. This method as an efficacious control strategy has numerous superiorities to the well-known T-S fuzzy controller, due to the control framework is a polynomial fuzzy model, which is more general and effectual than the well-known T-S fuzzy model. In this case, a polynomial Lyapunov function is used for analyzing the stability of the polynomial fuzzy system. Then, the number of rules in a polynomial fuzzy model is less than in a T-S fuzzy model. Besides, derived stability conditions are represented in terms of the SOS approach, which can be numerically solved via the recently developed SOSTOOLS. This approach avoids the difficulty of solving LMI (Linear Matrix Inequality). The Effectiveness of the proposed control strategy is verified by using the third-part Matlab toolbox, SOSTOOLS.

This work presents an analytical study of electronic transport in dimerized trans-polyacetylene (Trans PA) oligomers containing even (n = 4, 6, 8, 10 sites) and odd (n = 3, 5, 7, 9 sites) chains where the site C1 is sandwiched by two metallic electrodes (Left and Right). These devices exhibit T-shaped geometry and are investigated by Su-Schrieffer-Heeger (SSH) model via Heisenberg equation of motion combined with the Keldysh formalism. We introduced disorder into the system through the dimerization force (δ) demonstrating that the dimerization in the chain can effectively lead to a linear (low δ) or zigzag (high δ) behavior, besides also suffering increase or decrease in conductance peak [dI/dV]max. The odd chains exhibit trivial topological behavior to which the conductance peaks are suppressed as dimerization disorder is considered-creates barriers for tunneling. On the other hand, we have an opposite behavior for conductance peaks in the even chains. For example, the chain with weak dimerization (low δ) has a perfect transmission for even chains. In addition, we note for odd chains the formation of a plateau in the I–V curve for bias voltages and for even chains that show a linear current. This procedure shows an analytical study through the tunneling of the parameters on the device, such parameters as the tunneling amplitude (ГL/R) can be accessible experimentally.

This work presents an investigation on the electronic transport of two devices based on Zigzag Phagraphene Nanoribbons of different widths (ZPGNR1 and ZPGNR2) with Nitrogen-doped edge terminations based on DFT-NEGF methodology using TranSIESTA code. Our results show different transport regimes: (i) ZPGNR1 device exhibits metallic behavior and metal-semiconductor transition when the bias voltage is increased, with symmetry on the eigenchannels (ECs) and the field-effect transistor (FET) signature; and (ii) ZPGNR2 device presents topological insulator (TI) behavior and two operation windows, the first with FET signature characterized by the TI-semiconductor transition and the second with resonant tunnel diode (RTD) signature with broken ECs symmetry due to potential barrier caused by N-doping at the edge and the central region is preferential transport path for the device, inherent to TI systems, generating a negative differential resistance (NDR). Another alternative for ZPGNR2 is to consider a current limiter device Molecular Positive Electronic Transition (MPET)-like.

In this manuscript, we discuss a new weighted distribution, which called the volume–biased Rayleigh (VB-R) distribution. The VB-R model is more flexible than some well known models and it has many applications in physics and medicine. The statistical properties of the VB-R distribution as; moments, mean, variance, moment generating function, incomplete moments, inequality measures, order statistics and Rényi an q entropies are calculated. The maximum likelihood (ML) estimators for the unknown parameter of the volume-biased Rayleigh distribution, based on complete samples. Finally, applications on real data-sets are provided to determine whether the VB-R distribution is better than other well-known distributions in modeling lifetime data or not.

The fading phenomenon in mobile communications is mainly a stochastic process and plays an essential role in the reliability and stability of the systems. The frequency bands currently in use it is reasonably well characterized and described. With the use of mmW, only experimental, theoretical models are being proposed; there is no unanimity regarding a model that effectively contemplates the phenomenon in this spectrum range. Some studies suggest the traditional models applied to the frequencies in use; Rician and Rayleigh are the main ones. This study aims to advance and compare, with accepted models, a broader statistical model that overcomes the limitations of the current models. It will be analyzed and compared a model using the Nakagami-m distribution covering a greater range of possibilities, given the low spreading capacity of mmW and the need for links almost always LOS situation in which the Rician model fails.

The bacteria are responsible for several diseases in humans and currently there is an increase in the development of resistance to commercial drugs. In this study, we evaluated In Vitro and in silico antibacterial potential of the metal complex di-μ-chloro-bis [chlorine (4, 7-dimethyl-1, 10-phenanthroline) cadmium (II)]. Computational techniques, DFT with hybrid functional and B3LYP/GEN base (LANL2DZ for Cd and 6–311++G** for C, N, Cl and H), were applied and compared with literature data. The In Vitro antibacterial biological assays revealed a halo of 16 mm and a minimum inhibitory concentration of 6.25 μg/cm3; for Enterococcus faecalis and Staphylococcus. aureus, respectively. Molecular docking simulations were realized and the complex presented satisfactory results of binding energy showing the ease with which the ligand binds to the E. faecalis (−8.14 kcal/mol) and S. aureus (−7.00 kcal/mol). Additionally, pharmacokinetic and toxicological predictions were realized. ADME/Tox profile results showed that, although the cadmium complex met several of the parameters required for potential drugs, it has not been classified as a suitable one due to its high molecular weight. The results obtained demonstrate the effectiveness of the cadmium complex as a potential antibacterial agent.

In this article we examine the weighted average finite difference methods to approximate the fractional variable-order wave equation, where, the order of the differentiation can be a function of time. The fractional differentiation of the of variable-order are described in terms of the Riemann-Liouville concept. The stability of the utilized method are proved by using a kind of Von Neumann analysis. To reveals that the method is effective, two examples are offered. and the obtained solutions were compared with the exact solutions.

The present investigation studies the Jeffery fluid model’s peristaltic flow by means of an asymmetric channel. Mathematical analysis has been performed on the exitance of a magnetic field, as well as the mass and heat transfer associated with an asymmetric channel with peristaltic flow. The mass and heat transfer’s impact, a magnetic field, and concentration on blood peristaltic flow associated with an asymmetric channel is investigated in this study. A mathematical assay took place in the a magnetic field’s exitance, examining the flow in a wavy frame of references traversing with the wave’s velocity. The physical problem is illustrated with the first model; the analytical solution is carried out with a low-Reynolds and long-wavelength number assumption. Accurate values of the heat transfer coefficient and equations for the following variables were found. The numerical results were illustrated graphically for the sake of different values of interest in terms of physical parameters. Plotting graphs based on computational results allows for examination of the impacts of pertinent features on the abovementioned volumes and quentities. The findings show that parameters have a significant impact.

VR 360 Cam is an emerging device. By combining this with the rising webtoon industry, we want to show people an immersive webtoon. Based on the python language, face detection was performed from images received in real time from VR 360 Cam through dlib, a machine learning library that supports python. The VR 360 Cam performs trekking on the detected face to receive each detected position value, and is converted into a natural face through rectification to be shown to the audience. The exhibition, which performed face detection from the VR 360 Cam, and showed the image of the person’s face mapped to the audience, drew meaningful results. Unlike cameras such as webcams, VR 360 Cam has a wider viewing angle, allowing more people to interact. Existing webcams can only interact with one person at a time because it is impossible to interact with more people due to a narrow angle when one person enters. On the other hand, interaction with multiple people is possible through VR 360 Cam. Various exhibitions were possible.

We propose a new generated family of distributions that is known as the generalized alpha-power transformation-G (GAPT-G) family of distributions. The new class of family can be more flexible since the density shapes are left skewed, symmetrical and reversed-J. Some special models derived and discussed. Several of its important properties are derived. The maximum likelihood equations are derived for GAPT-G family parameters. The importance and flexibility of the derived models is assessed using one real dataset.