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Impulsive control of chaotic systems with exogenous perturbations
Authors:Liu Xing-Wen  Huang Qin-Zhen  Gao Xin  Shao Shi-Quan
Affiliation:School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
Abstract:The impulsive control of chaotic systems, which are subjected tounbounded exogenous perturbations, is considered. By using thetheory of impulsive differential equation together with the fuzzycontrol technique, the authors propose an impulsive robust chaoscontrolling criterion expressed as linear matrix inequalities(LMIs). Based on the proposed control criterion, the procedure fordesigning impulsive controllers of common (perturbed) chaoticsystems is provided. Finally, a numerical example is given todemonstrate the obtained theoretical result.
Keywords:impulsive control law   chaoscontrolling   linear matrix inequality
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