on chaos control 1 and Pecora and Carroll on chaos synchronization. Many researchers have become interested in chaos control and chaos synchronization after the pioneering efforts of Ott et al. Chaos synchronization matches the state vectors of either two identical chaotic systems that start from different initial values or two nonidentical chaotic systems. The detection method can detect the frequencies of the weak signal and does not need to determine the critical point.Ĭhaos control states the use of controllers to improve the characteristics of a chaotic system so that the system becomes stable at a chosen position or tracks a desired trajectory. Finally, a multi-frequency weak signal detection method is presented based on chaos control of the multi-wing chaotic system. Stability conditions are given by using the passivity-based theory. The linear state feedback controller can asymptotically stabilize the chaos synchronization error system to the origin. Then, a linear state feedback controller for achieving chaos synchronization of the multi-wing chaotic system is presented. Stability conditions are given by using the Barbashin–Krasovskii theorem. The nonlinear feedback controller can globally asymptotically stabilize the multi-wing chaotic system to the equilibrium point. The second part is a linear state feedback controller. The first part is used to compensate an equilibrium point for the multi-wing chaotic system. The nonlinear feedback controller has two parts. In this paper, first, a nonlinear feedback controller for achieving chaos control of a novel multi-wing chaotic system is presented.
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