2017
DOI: 10.5539/jmr.v9n1p39
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Abstract: This paper extends and improves the feedback control strategies. In detailed, the ordinary feedback, dislocated feedback, speed feedback and enhancing feedback control for a several dynamical systems are discussed here. It is noticed that there some problems by these strategies. For this reason, this Letter proposes a novel approach for treating these problems. The results obtained in this paper show that the strategies with positive feedback coefficients can be controlled in two cases and failed in another tw… Show more

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Cited by 11 publications
(20 citation statements)
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“…Similarly, if the derivative of an independent variable is multiplied by a coefficient as the feedback gain, it is called speed feedback control [2][3][4][5][6][7][8][9][10][11][12]16].…”
Section: Remark 5 (Speed Feedback Control Method)mentioning
confidence: 99%
See 1 more Smart Citation
“…Similarly, if the derivative of an independent variable is multiplied by a coefficient as the feedback gain, it is called speed feedback control [2][3][4][5][6][7][8][9][10][11][12]16].…”
Section: Remark 5 (Speed Feedback Control Method)mentioning
confidence: 99%
“…In 2017, the Ref. [12] present some problems of these strategies and how treatment. Our system is generated based on Pan system via a state feedback controller which is described by the following mathematical model:…”
Section: Introductionmentioning
confidence: 99%
“…such that k is feedback parameters and ≰ 0. This method depends on Routh Hurwitz Criteria, to find the exact value of feedback parameter, the necessary and sufficient condition to satisfy chaotic control and the feedback parameter must be positive, sometimes we get more than positive feedback parameter, to select good feedback parameter we must use the equation [4]:…”
Section: Definition (1): Enhancing Feedback Controlmentioning
confidence: 99%
“… For scaling factor = . Figure 4 show the hybrid synchronization of the hyperchaotic Lorenz system (1) and system (4) with control (18).  For scaling factor = .…”
Section: Numerical Simulationmentioning
confidence: 99%
“…So, it's needed to propose high dimensional nonlinear dynamical systems, these system are characterized as a chaotic system with more than one positive Lypunov exponent, and have more complex and richer dynamical behaviors than chaotic system. Historical, Rössler system is the first hyperchaotic systems which discover in 1979, Since then, many hyperchaotic systems have been discover [17][18][19][20][21][22] [23,24]. There are many works deals with synchronization phenomena for various different dimension nonlinear dynamical systems (3-D, 4-D and 5-D) and a few researchers consider system with six dimension.…”
Section: Introductionmentioning
confidence: 99%