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In this study, a sliding adaptive fuzzy controller is applied for chaos synchronization of two multi time-delayed Rossler systems. Two fuzzy systems with adaptation laws obtained from gradient descent method with novel cost function are employed to achieve two control laws. In this method, the first derivation of the Lyapunov function is considered as the cost function which must be minimized. To...
This paper investigates the robust synchronization of uncertain hyper chaotic Chen and Lü systems. Based on Lyapunov stability theory and adaptive control, the adaptive robust controller is designed, which achieve synchronization of the two hyper chaotic systems with an arbitrarily small error by introducing a compensator. The update laws of the unknown parameters are given and the theoretical analysis...
This paper establishes an exponential Hinfin synchronization method for a class of uncertain master and slave neural networks (MSNNs) with mixed time delays, where the mixed delays comprise different neutral, discrete, and distributed time delays. The polytopic and the norm-bounded uncertainties are separately taken into consideration. An appropriate discretized Lyapunov-Krasovskii functional and...
This paper presents a design procedure to synchronize between unidirectionally coupled MCK hyperchaotic systems based on a sliding mode control. In contrast to the previous works, this approach needs two controllers to realize synchronization even when uncertainties are present in the coupled system. Then, a comparative example is given to emphasize the simplicity and robustness of the proposed method.
This paper studies a robust chaos suppression control of non-autonomous chaotic systems. In the control scheme, a sliding mode controller (SMC) is used to suppress the chaotic horizontal platform (HPS) system excited by harmonic external forces, between which there exists parametric uncertainties. Based on Lyapunov stability theorem, control laws are derived. It is guaranteed that under the proposed...
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