time stability
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2022 ◽  
Vol 131 (2) ◽  
pp. 024304
Tara Peña ◽  
Ahmad Azizimanesh ◽  
Liangyu Qiu ◽  
Arunabh Mukherjee ◽  
A. Nick Vamivakas ◽  

2022 ◽  
Vol 13 (1) ◽  
Andrej Jančařík ◽  
Jan Holec ◽  
Yuuya Nagata ◽  
Michal Šámal ◽  
Andre Gourdon

AbstractDuring the last years we have witnessed progressive evolution of preparation of acenes with length up to dodecacene by on-surface synthesis in ultra-high vacuum or generation of acenes up to decacene in solid matrices at low temperatures. While these protocols with very specific conditions produce the acenes in amount of few molecules, the strategies leading to the acenes in large quantities dawdle behind. Only recently and after 70 years of synthetic attempts, heptacene has been prepared in bulk phase. However, the preparative scale synthesis of higher homologues still remains a formidable challenge. Here we report the preparation and characterisation of nonacene and show its excellent thermal and in-time stability.

2022 ◽  
Vol 27 ◽  
pp. 1-13
Ganesan Arthi ◽  
Nallasamy Brindha ◽  
Dumitru Baleanu

This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality. Also, the result is deduced to a linear autonomous case. Two examples of applications of stability analysis in numerical formulation are described showing the expertise of theoretical prediction.

Farzad Ferdowsi ◽  
Hesan Vahedi ◽  
Ali Jafarian Abianeh ◽  
Chris S. Edrington ◽  
Touria Elmezyani

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 111
You Li ◽  
Haizhao Liang

Robust finite-time control algorithms for satellite attitude maneuvers are proposed in this paper. The standard sliding mode is modified, hence the inherent robustness could be maintained, and this fixed sliding mode is modified to dynamic, therefore the finite-time stability could be achieved. First, the finite -time sliding mode based on attitude quaternion is proposed and the loose finite-time stability is achieved by enlarging the sliding mode parameter. In order to get the strict finite-time stability, a sliding mode based on the Euler axis is then given. The fixed norm property of the Euler axis is used, and a sliding mode parameter without singularity issue is achieved. System performance near the equilibrium point is largely improved by the proposed sliding modes. The singularity issue of finite-time control is solved by the property of rotation around a fixed axis. System finite-time stability and robustness are analyzed by the Lyapunov method. The superiority of proposed controllers and system robustness to some typical perturbations such as disturbance torque, model uncertainty and actuator error are demonstrated by simulation results.

2021 ◽  
Vol 15 ◽  
Hui Zhao ◽  
Aidi Liu ◽  
Qingjié Wang ◽  
Mingwen Zheng ◽  
Chuan Chen ◽  

This paper explores the realization of a predefined-time synchronization problem for coupled memristive neural networks with multi-links (MCMNN) via nonlinear control. Several effective conditions are obtained to achieve the predefined-time synchronization of MCMNN based on the controller and Lyapunov function. Moreover, the settling time can be tunable based on a parameter designed by the controller, which is more flexible than fixed-time synchronization. Then based on the predefined-time stability criterion and the tunable settling time, we propose a secure communication scheme. This scheme can determine security of communication in the aspect of encrypting the plaintext signal with the participation of multi-links topology and coupled form. Meanwhile, the plaintext signals can be recovered well according to the given new predefined-time stability theorem. Finally, numerical simulations are given to verify the effectiveness of the obtained theoretical results and the feasibility of the secure communication scheme.

Chemosensors ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 2
Aleksandra Kalinowska ◽  
Magdalena Wicik ◽  
Patrycja Matusiak ◽  
Patrycja Ciosek-Skibińska

Differential sensing techniques are becoming nowadays an attractive alternative to classical selective recognition methods due to the “fingerprinting” possibility allowing identifying various analytes without the need to fabricate highly selective binding recognition sites. This work shows for the first time that surfactant-based ion-sensitive microspheres as optodes in the microscale can be designed as cross-sensitive materials; thus, they are perfect candidates as sensing elements for differential sensing. Four types of the newly developed chemosensory microspheres—anion- and cation-selective, sensitive toward amine- and hydroxyl moiety—exhibited a wide range of linear response (two to five orders of magnitude) in absorbance and/or fluorescence mode, great time stability (at least 2 months), as well as good fabrication repeatability. The array of four types of chemosensitive microspheres was capable of perfect pattern-based identification of eight neurotransmitters: dopamine, epinephrine, norepinephrine, γ-aminobutyric acid (GABA), acetylcholine, histamine, taurine, and phenylethylamine. Moreover, it allowed the quantification of neurotransmitters, also in mixtures. Its selectivity toward neurotransmitters was studied using α- and β-amino acids (Ala, Asp, Pro, Tyr, taurine) in simulated blood plasma solution. It was revealed that the chemosensory optode set could recognize subtle differences in the chemical structure based on the differential interaction of microspheres with various moieties present in the molecule. The presented method is simple, versatile, and convenient, and it could be adopted to various quantitative and qualitative analytical tasks due to the simple adjusting of microspheres components and measurement conditions.

Rusudan Kutateladze ◽  
Ana Kobiashvili ◽  
Nodar Darchiashvili ◽  

The coronavirus pandemic has significantly changed a person's life and almost all areas of his activity. One of the organizations whose activities are directly related to the management of the pandemic is the Emergency Management Center 112. It is actively involved in the process of managing the coronavirus and has been working in a special mode for more than a year to provide timely and highly qualified services to every citizen. Сovid-19 monitoring system developed at the 112 Emergency Management Center is described, whose real-time stability has been compromised by the increasing number of incoming calls during the pandemic. Consequently, a new functionality has been created, the purpose of which is the optimal geographical distribution of ambulance crews. The article discusses the front-end part of this functionality. It also describes the process of integrating maps into the application, which results in the transformation of the desired data into map layers and visual representation. The application shows the number of Covid-19 cases along with an additional text. An example of Covid-19 cases map is shown. The illustrations are provided showing the statistical data of both current days and past period.

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3321
Issaraporn Khonchaiyaphum ◽  
Nayika Samorn ◽  
Thongchai Botmart ◽  
Kanit Mukdasai

This research study investigates the issue of finite-time passivity analysis of neutral-type neural networks with mixed time-varying delays. The time-varying delays are distributed, discrete and neutral in that the upper bounds for the delays are available. We are investigating the creation of sufficient conditions for finite boundness, finite-time stability and finite-time passivity, which has never been performed before. First, we create a new Lyapunov–Krasovskii functional, Peng–Park’s integral inequality, descriptor model transformation and zero equation use, and then we use Wirtinger’s integral inequality technique. New finite-time stability necessary conditions are constructed in terms of linear matrix inequalities in order to guarantee finite-time stability for the system. Finally, numerical examples are presented to demonstrate the result’s effectiveness. Moreover, our proposed criteria are less conservative than prior studies in terms of larger time-delay bounds.

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