Abstract
In this paper, we consider impulsive modeling and control of a new chaotic system with time-varying impulse intervals. The new chaotic system is derived from Lorenz system, Chen system and Lu system. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control the new chaotic system and obtain some new less conservative conditions. Based on the stability analysis, we design a novel impulsive controller with time-varying impulse intervals. Illustrative examples are provided to show the feasibility and effectiveness of our method finally.
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