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EN
In this research work, we first obtain a new 3-D chaotic Lü system by modifying the dynamics of the classical Lü chaotic system (2002). Next, by introducing a state feedback to the new 3-D modified Lü chaotic system, we obtain a new 4-D hyperchaotic Lü system with a curve equilibrium. We carry out a detailed bifurcation analysis of the new 4-D hyperchaotic system with a curve equilibrium and describe the bifurcation transition diagrams and Lyapunov exponents diagrams. We also derive new multistability results of the new 4-D hyperchaotic Lü system with a curve equilibrium. For engineering applications, we provide an electronic circuit simulation of the proposed hyperchaotic Lü system using MultiSim 14.0. As a control application, we derive new results for the complete synchronization for a pair of new hyperchaotic Lü systems taken as the master and slave systems. We have used integral sliding mode control for the derivation of the synchronizing control law for the complete synchronization design for the new hyperchaotic Lü system. MATLAB simulations are provided to illustrate the main results of this research work.
EN
This paper presents a three-phase cascaded voltage compensator equipped with energy storage based on supercapacitors. The system described can protect an isolated grid, such as one used for industrial purposes, against short voltage interruptions, dips, and sags. A possible control method, as well as a digital controller, are also discussed, along with some experimental results.
PL
W artykule przedstawiono trójfazowy kaskadowy kompensator napięcia z superkondensatorowym magazynem energii elektrycznej. Opisany system jest w stanie chronić izolowaną sieć, na przykład wykorzystywaną do celów przemysłowych, przed krótkotrwałymi przerwami, spadkami i zapadami napięcia. Omówiono także sposób sterowania, sterownik cyfrowy oraz niektóre wyniki eksperymentów.
EN
Unsynchronized integrated lines in urban rail systems may cause some passengers to miss their last transfer chance. Therefore, passengers move faster in a swarm mentality to catch the last train. This study aims to synchronize the last-train timetable so that the maximum possible number of passengers can be transferred at the transfer stations by waiting for the minimum time. This paper provides a new approach to show that passengers who try to get to the last train at the transfer station move faster and describes the transfer processes with heuristic algorithms. In the case of the Istanbul urban rail system, passengers transfer to the last train 32% faster than average. To find the heuristic algorithm that defines the transfer processes of these passengers, particle swarm algorithms, dragonfly algorithms, and a simulated annealing algorithm were selected for comparison. The transfer times obtained with the particle swarm algorithm and the actual transfer times gave close results between 97.6% and 99.2%. The modified last-train timetable with predicted transfer time increases the number of successful transfers by 28%, decreasing the average waiting time of passengers from 197.27 seconds to 50.56 seconds. In addition, passengers wait 58 seconds less for the transfer to the last train by adjusting the timetable to the modified last train transfer time.
EN
Synchronization of fractional order systems has gained great interest in various research activities in recent years. The aim of this study is to investigate the synchronization of a class of neural network systems with respect to the proportional Caputo fractional order derivative. Using the generalized Gronwall inequality, a sufficient condition that possesses the exponential convergence rate, presents and demonstrates that the error of the proposed system converges to zero. Two illustrative numerical examples are provided to show the applicability and validity of the obtained theoretical results.
EN
In this research work, we investigate a new three-dimensional jerk system with three parameters in which one of the nonlinear terms is a sinusoidal nonlinearity. We show that the new jerk system has two unstable equilibrium points on the 𝑥-axis. Numerical integrations show the existence of periodic and chaotic states, as well as unbounded solutions. Consideration of the Poincaré sphere at infinity found no periodic states. We show that the new jerk system exhibits multistability with coexisting attractors. We also present results for the offset boosting of the proposed chaotic jerk system. Using MultiSim version 14.1, we design an electronic circuit for the new jerk system with a sinusoidal nonlinearity. As a control application, we design complete synchronization for the master-slave jerk systems using backstepping control technique. Simulations are presented to illustrate the main results of this research work.
EN
In this research work, we propose a new four-dimensional chaotic hyperjerk system with four quadratic nonlinearities. We carry out a detailed bifurcation analysis and derive conditions for the existence of a Hopf bifurcation for the new hyperjerk system. A linear analysis shows that there is only a unique trivial equilibrium state, whose stability depends solely on the parameter p. The only bifurcation possible is a Hopf bifurcation when p = 2. This is verified from bifurcation transition diagrams. We derive new results showing multistability and the existence of coexisting attractors for the new chaotic hyperjerk system. Using MultiSim, a new electronic circuit is designed for the new chaotic hyperjerk system with four quadratic nonlinearities. Finally, we present a control application for the proposed chaotic hyperjerk system with four quadratic nonlinearities. Using active backstepping control, we design a new controller that achieves complete synchronization for the master-slave chaotic hyperjerk systems with four quadratic nonlinearities.
7
Content available On the two possible types of THz generators
EN
This paper is the review of our study published earlier in Acta Phys. Polon. A121, 522 (2012) [7],Phys Lett A378, 1364 (2014) [25],and [1]. It’s aim is to pay attention to the new possibilities related to producing the new types of THz generators. The suggested effects are the result of combining two effects: Gunn-effect in a material such as GaAs and undulator-like radiation, or "pumping wave" acting on the electrons which is the result of undulator field, while the second is the backward effect of radiation which is produced by electrons moving within such a micro-undulator. It is very probable that the effect scan be used to develop a new semiconductor-based room temperature source of the THz-radiation.
EN
This paper introduces a fractional-order PD approach (F-oPD) designed to control a large class of dynamical systems known as fractional-order chaotic systems (F-oCSs). The design process involves formulating an optimization problem to determine the parameters of the developed controller while satisfying the desired performance criteria. The stability of the control loop is initially assessed using the Lyapunov’s direct method and the latest stability assumptions for fractional-order systems. Additionally, an optimization algorithm inspired by the flight skills and foraging behavior of hummingbirds, known as the Artificial Hummingbird Algorithm (AHA), is employed as a tool for optimization. To evaluate the effectiveness of the proposed design approach, the fractional-order energy resources demand-supply (Fo-ERDS) hyperchaotic system is utilized as an illustrative example.
EN
The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced for triangular wave non-linearity. It is worth noting that this striking phenomenon rarely occurs in respect of chaotic systems. The system proposed in this paper has been realized with numerical simulation. The results emanating from the numerical simulation indicate the feasibility of the proposed chaotic system. More over, chaos control, stability, diffusion and synchronization of such a system have been dealt with.
EN
In this work, we report a new chaotic population biology system with one prey and two predators. Our new chaotic population model is derived by introducing two nonlinear interaction terms between the prey and predator-2 to the Samardzija-Greller population biology system (1988). We show that the new chaotic population biology system has a greater value of Maximal Lyapunov Exponent (MLE) than the Maximal Lyapunov Exponent (MLE) of the Samardzija-Greller population biology system (1988). We carry out a detailed bifurcation analysis of the new chaotic population biology system with one prey and two predators. We also show that the new chaotic population biology model exhibits multistability with coexisting chaotic attractors. Next, we use the integral sliding mode control (ISMC) for the complete synchronization of the new chaotic population biology system with itself, taken as the master and slave chaotic population biology systems. Finally, for practical use of the new chaotic population biology system, we design an electronic circuit design using Multisim (Version 14.0).
EN
In this work, we present new results for a two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium at the origin. The bifurcation and multi-stability analysis for the new hyperchaotic system are discussed in detail. As a control application, we develop a feedback control based on integral sliding mode control (ISMC) for the complete synchronization of a pair of two-scroll hyperchaotic systems developed in this work. Numerical simulations using Matlab are provided to illustrate the hyperchaotic phase portraits, bifurcation diagrams and synchronization results. Finally, as an electronic application, we simulate the new hyperchaotic system using Multisim for real-world implementations.
12
Content available remote Algorithmic Handling of Time Expanded Networks
EN
Time Expanded Networks, built by considering the nodes of a base network over some time space, are powerful tools for the formulation of problems involving synchronization mechanisms. Those mechanisms may for instance be related to the interaction between resource production and consumption or between routing and scheduling. Still, in most cases, deriving algorithms from those formulations is difficult, due to both the size of resulting network structure and the fact that reducing this size through rounding techniques tends to induce uncontrolled essor propagation. We address here this algorithmic issue, while proposing a generic decomposition scheme which works by first skipping the temporal dimension of the problem and next expanding resulitng projected solution into a full solution of the problem set on the time expanded network.
EN
This paper studies the problem of synchronization for chaotic coronary artery system. The heart receives its oxygen and nourishment from the blood vessel namely coronary artery. Furthermore, due to some uncertain factors such as high blood pressure, thyroid, heart disorders, and others can cause the inner pressure and diameter of the coronary artery vessel to change, resulting in an aberrant pulse. In order to synchronize affected system with healthy system, event -triggered reliable controller is designed with the aid of linear matrix inequalities. Finally, simulations are performed to ensure that the developed controller is successful.
PL
Niniejsza praca dotyczy problemu synchronizacji chaotycznego układu tętnic wieńcowych. Serce otrzymuje tlen i pożywienie z ˙ naczynia krwionosnego, czyli tętnicy wiencowej. Co więcej, z powodu pewnych niepewnych czynników, takich jak wysokie cisnienie krwi, choroby ´ tarczycy, serca i inne, mogą powodować zmianę wewnętrznego ciśnienia i średnicy naczynia wieńcowego, co skutkuje nieprawidłowym tętnem. Aby zsynchronizowac uszkodzony system ze zdrowym systemem, niezawodny sterownik wyzwalany zdarzeniami został zaprojektowany z wykorzystaniem ´ liniowych nierównosci macierzy. Na koniec przeprowadzane są symulacje, aby upewnic się, ze opracowany sterownik odniesie sukces.
EN
The paper concerns the design of a framework for implementing fault-tolerant control of hybrid assembly systems that connect human operators and fully automated technical systems. The main difficulty in such systems is related to delays that result from objective factors influencing human operators’ work, e.g., fatigue, experience, etc. As the battery assembly system can be considered a firm real-time one, these delays are treated as faults. The presented approach guarantees real-time compensation of delays, and the fully automated part of the system is responsible for this compensation. The paper begins with a detailed description of a battery assembly system in which two cooperating parts can be distinguished: fully automatic and semi-automatic. The latter, nonderministic in nature, is the main focus of this paper. To describe and analyze the states of the battery assembly system, instead of the most commonly used simulation, the classic max-plus algebra with an extension allowing one to express non-deterministic human operators’ work is used. In order to synchronize tasks and schedule (according to the reference schedule) automated and human operators’ tasks, it is proposed to use a wireless IoT platform called KIS.ME. As a result, it allows a reference model of human performance to be defined using fuzzy logic. Having such a model, predictive delays tolerant planning is proposed. The final part of the paper presents the achieved results, which clearly indicate the potential benefits that can be obtained by combining the wireless KIS.ME architecture (allocated in the semi-automatic part of the system) with wired standard production networks.
PL
Nieporozumienia interpretacyjne, związane z pojęciami „integracja”, „koordynacja” oraz „synchronizacja”, a także zamienne stosowanie wymienionych pojęć zmniejsza precyzję wywodów o charakterze naukowym, jak również utrudnia wymianę idei między teoretykami i praktykami zarządzania, w tym - logistykami. Celem rozważań zawartych w niniejszym artykule jest rozpoznanie rozkładu frekwencyjności artykułów w przedmiotowym zakresie oraz odpowiedź na pytanie, czy wymienione pojęcia są pojęciami synonimicznymi, czy też oznaczają odmienne sytuacje w kontekście zarządczym.
EN
Misunderstandings of interpretation, related to the terms "integration", "coordination" and "synchronization", and the interchangeable use of these terms reduce the precision of scientific argumentation, as well as complicating the exchange of ideas between management theoreticians and practitioners, including logisticians. The purpose of the considerations contained in this article is to identify the distribution of the frequency of the articles in the field in question, and answer the questions of whether these concepts are synonymous or mean different situations in a management context.
EN
In this work, we modify the dynamics of 3-D four-wing Li chaotic system (Li et al. 2015) by introducing a feedback controller and obtain a new 4-D hyperchaotic four-wing system with complex properties. We show that the new hyperchaotic four-wing system have three saddle-foci balance points, which are unstable. We carry out a detailed bifurcation analysis for the new hyperchaotic four-wing system and show that the hyperchaotic four-wing system has multistability and coexisting attractors. Using integral sliding mode control, we derive new results for the master-slave synchronization of hyperchaotic four-wing systems. Finally, we design an electronic circuit using MultiSim for real implementation of the new hyperchaotic four-wing system.
EN
The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diffusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one- and/or two-spatial dimensions.
EN
The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced. It is worth noting that this striking phenomenon rarely occurs in respect of chaotic systems. The system proposed in this paper has been realized with numerical simulation. The results emanating from the numerical simulation indicate the feasibility of the proposed chaotic system. More over, chaos control, stability, diffusion and synchronization of such a system have been dealt with.
EN
The problem of self-synchronization of a three-axis vibrating mill with four unbalance vibrators, which are actuated by independent asynchronous motors and have the same angular velocities, is considered in the paper. In self-synchronization, synchronization and phase matching of the vibrator is achieved due to the vibration of the system of bodies on which the vibrator is installed, that is, by providing a dynamic connection between them.
PL
W artykule analizowano problem synchronizacji trzyosiowego wibracyjnego młyna z czterema niezależnymi wibratorami. Samoczynna synchronizacja została osiągnięta dzięki dynamicznemu połączeniu między wibratorami i podłożem.
20
Content available remote A Theory of Distributed Markov Chains
EN
We present the theory of distributed Markov chains (DMCs). A DMC consists of a collection of communicating probabilistic agents in which the synchronizations determine the probability distribution for the next moves of the participating agents. The key feature of a DMC is that the synchronizations are deterministic, in the sense that any two simultaneously enabled synchronizations involve disjoint sets of agents. Using our theory of DMCs we show how one can analyze the behavior using the interleaved semantics of the model. A key point is, the transition system which defines the interleaved semantics is — except in degenerate cases — not a Markov chain. Hence one must develop new techniques to analyze these behaviors exhibiting both concurrency and stochasticity. After establishing the core theory we develop a statistical model checking procedure which verifies the dynamical properties of the trajectories generated by the the model. The specifications consist of Boolean combinations of component-wise bounded linear time temporal logic formulas. We also provide a probabilistic Petri net representation of DMCs and use it to derive a probabilistic event structure semantics.
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