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      • Game Theory Applied to Urban Traffic Control Problem

        Israel Alvarez,Alexander Poznyak 제어로봇시스템학회 2010 제어로봇시스템학회 국제학술대회 논문집 Vol.2010 No.10

        Traffic congestion is an issue in every major city. Among many approaches the game theory has presented feasible solutions. In this paper, a noncooperative approach which gives rise to a noncooperative game is studied, we propose to model signalized intersections as finite controlledMarkov chains and a solution to optimize the congestion into an avenue. Each intersection is seen as noncooperative game where each player try to minimize its queue, so ?? Nash’s equilibrium and Stackelberbg equilibrium are the solutions. This paper is focused on the traffic light control problem for urban traffic, using Game Theory and Extraproximal Method for its realization. The examples show the effectiveness of the suggested approach.

      • KCI등재

        Mechanisms of the Wnt Pathways as a Potential Target Pathway in Atherosclerosis

        Anastasia V. Poznyak,Vasily N. Sukhorukov,Mikhail A. Popov,Yegor S Chegodaev,Anton Y. Postnov,Alexander N. Orekhov 한국지질동맥경화학회 2023 지질·동맥경화학회지 Vol.12 No.3

        The proteins of the Wnt family are involved in a variety of physiological processes by means of several canonical and noncanonical signaling pathways. Wnt signaling has been recently identified as a major player in atherogenesis. In this review, we summarize the existing knowledge on the influence of various components of the Wnt signaling pathways on the initiation and progression of atherosclerosis and associated conditions. We used the PubMed database to search for recent papers on the involvement of the Wnt pathways in atherosclerosis. We used the combination of “Wnt” and “atherosclerosis” keywords to find the initial papers, and chose papers published after 2018. In the first section of the paper, we describe the general mechanisms of the Wnt signaling pathways and their components. The next section is dedicated to existing studies assessing the implication of Wnt signaling elements in different atherogenic processes, such as cholesterol retention, endothelial dysfunction, vascular inflammation, and atherosclerotic calcification of the vessels. Lastly, various therapeutic strategies based on interference with the Wnt signaling pathways are considered. We also compare the efficacy and availability of the proposed treatment methods. Wnt signaling can be considered a potential target in the treatment and prevention of atherosclerosis. Therefore, in this review, we reviewed evidences showing that wnt signaling is an important signal for developing appropriate treatment strategies for atherosclerosis.

      • KCI등재

        Control of Multiplicative Noise Stochastic Gene Regulation Systems by the Attractive Ellipsoid Technique

        Norma Lozada-Castillo,Alexander Poznyak,Isaac Chairez 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.5

        This article describes the application of the so-called attractive ellipsoidal method to solve the trajectory stabilization problem for a class of genetic network systems modelled by a stochastic model. The genetic network model is described by a stochastic quasi-linear system affected by additive and multiplicative noises simultaneously. The solution of the control design provided in this study is based on a linear feedback structure. In this paper the algorithm to construct a suboptimal gain for adjusting the control design is introduced. The attractive ellipsoidal method is the key stone for designing the so-called suboptimal gain. Moreover, the practical stability of the genetic network trajectories is demonstrated on the mean and in almost sure senses. Some numerical simulations show how a set of stochastic trajectories are stabilized by the controller suggested in this study and how the predicted ellipsoid region is achieved by these trajectories.

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        Attractive Ellipsoid Method Controller under Noised Measurements for SLAM

        Hussain Alazki,Eric Hernández,Juan M. Ibarra,Alexander Poznyak 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.6

        This paper presents a novel algorithm for Simultaneous Localization and Mapping (SLAM) of mobilerobots. The proposed algorithm, termed as SLAM using on Attractive Ellipsoid Method (AEM) and Luenbergerfilter-type application with nonlinear models, under the hypothesis that errors affecting all sensor’s measurementsand robot’s motions are unknown-but-bounded. We suggest to select the best parameters of the suggested observerproviding a minimal size of this attractive ellipsoid. It is shown that this optimization problem may be converted intothe trace optimization of this attractive ellipsoid under some specific constraints of a set of LMI’s (Linear MatrixInequalities). Simulated indoor experiments are used to demonstrate the performance of the proposed algorithm.

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