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In the paper, we firstly give a new accurate spheroid estimation formula of the globally exponentially attractive set for all positive parameters by constructing a generalized positive definite Lyapunov functions with radially unbound. Secondly, based on inequalities techniques, linear feedback control with one input or two inputs is proposed to realize the globally exponential synchronization of...
This paper introduces a new chaotic system. Some basic dynamical properties are studied, such as the equilibria, the Lyapunov exponents and the fractal dimension. Based on these properties, effective feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, based on Lyapunov stability theory, sufficient condition for the synchronization has been analyzed theoretically...
In this paper, an adaptive interval type-2 fuzzy neural network (FNN) controller is presented to synchronize multivariable chaotic systems with training data corrupted by noise or rule uncertainties. Adaptive interval type-2 FNN control scheme and sliding mode approach are incorporated to deal with the synchronization of two non-identical chaotic systems. In the meantime, based on the adaptive fuzzy...
In this paper, a new direct adaptive interval type-2 fuzzy controller is proposed to synchronize between two different chaotic time-delay systems with noisy training data or rule uncertainties. Based on the adaptive time-delay interval type-2 fuzzy logic systems in which linguistic fuzzy control rules can be directly incorporated into the controller and by adjusting weights, centers and widths, the...
In bilateral teleoperation systems, stability and synchronization have been important problems in control engineering. Several control architectures have been developed to solve the these problems. In this paper, input saturation is considered. Saturation in these systems can destroy synchronization on established architecture. In this paper, it is shown that the synchronization is steel maintained...
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