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This paper derives new results on the active controller design for the output regulation problem of the LiuLiu-Liu-Su chaotic system (2006), which is one of the paradigms of 3-dimensional chaotic systems discovered by C. Liu, T. Liu, L. Liu and Y. Su. Explicitly, for the constant tracking problem, new state feedback control laws have been derived for regulating the output of the Liu-Liu-Liu-Su chaotic system. The output regulation of the Liu-Liu-Liu-Su chaotic system has important applications in many areas of Science and Engineering. Numerical simulations are shown to validate and demonstrate the effectiveness of the control schemes derived in this paper for the output regulation of the Liu-Liu-Liu-Su system.

The Design of Active Controller for the Output Regulation of Liu-Liu-Liu-Su Chaotic System