期刊论文

Wenjie Li<&wdkj&>Wenjie Li Wenjie Li Wenjie Li

英文

Mathematical Methods in the Applied Sciences

0170-4214

2023

46

5

5267-5285

10.1002/mma.8831

National Natural Science Foundation of China [12171056]; Yunnan Fundamental Research Projects [202101BE070001051]; Humanity and Social Science Youth Foundation of Ministry of Education of China [22YJCZH009]; Scientific Research Key Project of Hunan Provincial Education Department [20A268]; Teaching Reform Project of Ordinary Colleges and Universities in Hunan Province [HNJG-2021-0252]; Natural Science Foundation of Hunan Province [2021JJ30372]

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This paper employs a discontinuous temporary immunity control to obtain the periodic orbit for a class of delayed malicious signal transmission model in wireless sensor networks under the framework of differential inclusion. The positivity and boundedness of the solution for the discontinuous system is proved first. Then, by using the Kakutani's fixed point theorem of set-valued maps, the existence of a periodic orbit is obtained under some assumptions and constraints. Furthermore, the globally exponentially stable omega$$ \omega $$-periodic orbit is investigated using the Lyapunov functional ...