Applied Mathematics & Information Sciences

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In this paper, a systematic design approach based on event driven method is investigated for a class of switching systems, and the switching control system is able to generate chaos at will from linear systems under the designed switching rules. To gain this target, structures of a class of linear switching systems are analyzed properly, as a consequence of analysis, the corresponding criteria is obtained to judge the existence for this class of switching systems to generate chaos. Then, based on the analysis of structure, feedback controllers designing procedure of some non-autonomous switching systems is deduced step by step. Two numerical examples are given to illustrate the generated chaotic dynamic behavior of the systems, and the validity of main results is also verified by the simulations. Finally, a circuit is provided to show the potential applications of the approach in engineering.

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