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Öğe Control of Memristor-Based Simplest Chaotic Circuit with One-State Controllers(World Scientific Publ Co Pte Ltd, 2019) Kizmaz, Hakan; Kocamaz, Ugur Erkin; Uyaroglu, YilmazThis paper deals with the control of the memristor-based simplest chaotic circuit by means of only one-state controller. Three distinct control techniques, namely linear feedback control, sliding mode control, and nonlinear control, are examined for the control. Routh-Hurwitz stability criteria are used for constructing the linear feedback and sliding mode gains. Lyapunov function is used for ensuring the global asymptotic stability of the system with the nonlinear controller. Numerical simulations are demonstrated not only to validate the theoretical analyses, but also to compare the control results. They have shown that even if one-state controller is used, all the methods are effective for controlling the memristor-based simplest chaotic circuit. However, the control is observed in a better time period with the sliding mode controller.Öğe Controlling hyperchaotic Rabinovich system with single state controllers: Comparison of linear feedback, sliding mode, and passive control methods(Elsevier Gmbh, Urban & Fischer Verlag, 2017) Kocamaz, Ugur Erkin; Uyaroglu, Yilmaz; Kizmaz, HakanIn this study, the control of hyperchaotic Rabinovich system is applied by using three different single state controllers, namely linear feedback, sliding mode, and passive control. Routh-Hurwitz criterions are used for constructing the sufficient conditions of the linear feedback controller. An appropriate switching surface is designed based on the sliding mode control theory. In order to ensure the global asymptotic stability of the system with the passive controller, a Lyapunov function is used. Simulation results are demonstrated not only to validate all the theoretical analyses but also to compare the effectiveness of proposed control methods. By adding the controllers to the hyperchaotic Rabinovich system, it asymptotically stabilizes towards its zero equilibrium point in the state space. Numerical simulations have also shown that the proposed single state sliding mode controller is more effective than linear feedback and passive controllers on the control of hyperchaotic Rabinovich system. (C) 2016 Elsevier GmbH. All rights reserved.