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Öğe Computation of All Stabilizing First Order Controllers for Fractional-Order Systems(Beijing Univ Aeronautics & Astronautics Press, 2008) Hamamci, S. E.; Kanthabhabha, P.; Vaithiyanathan, K.This paper presents an effective solution to the problem of stabilizing a given but arbitrary fractional-order system using a first order controller C(s) = (x(1)s + x(2))/(S + x(3)). The problem is solved by determining the global stability region in the controller parameter space [x(1), x(2), x(3)] Using D-decomposition technique. Analytical expressions are derived for the purpose of obtaining the stability boundaries of this region which are described by real root boundary, infinite root boundary and complex root boundary. Thus, the complete set of stabilizing first order controller parameters is obtained. The algorithm has a simple and reliable result which is illustrated by several examples, and hence is practically useful in the analysis and design of fractional-order control systems.Öğe Simulation and implementation of memristive chaotic system and its application for communication systems(Elsevier Science Sa, 2019) Sahin, M. E.; Taskiran, Z. G. Cam; Guler, H.; Hamamci, S. E.One of the most popular applications for chaotic systems is secure communication. The main purpose is to hide the information signal to be transmitted in a secure way, into a chaotic signal which is difficult to detect, and then to recover the information signal again. In response to this, memristor discovered by Leon O. Chua, known as the fourth basic element or the missing relationship can be implemented in chaotic circuit for a secure communication. The memristor based chaotic circuits which consist of three basic elements, have been used to obtain chaotic secure communication scheme in this paper. Using numerical simulation methods, including phase portraits, the largest Lyapunov exponents and bifurcation diagrams, the nonlinear dynamics are examined. In this respect, the advantage of chaotic feature of memristor and a memristor-based system was benefited for masking chaotic signals which are complicated to be analysed in communication systems. Therefore, the system was modelled with the help of LabVIEW and circuit with chaotic specialty was implemented in a secure communication. Simulation results confirm that the constituted design is likely to be utilizable in a secure communications application. (C) 2019 Elsevier B.V. All rights reserved.