Abstract
In this paper, a model of nonlinear dynamic system with Lévy jumps based on cargo sorting DNA robot is studied. Firstly, nonlinear biochemical reaction system based on cargo sorting DNA robot model is established. Considering the influence of external disturbances on the system, nonlinear biochemical reaction system with Lévy jump is built and its dimensionality is reduced. Secondly, in order to prove that the built system conforms to the actual meaning, the existence and uniqueness of the system solution is verified. Next, the sufficient conditions for the completion of cargo pick-up of cargo sorting DNA robot and the continued sufficiency are introduced, and the progress of cargo sorting DNA robot under different noise intensities is analyzed. Then, it is proved that the positive recursion of the reaction can better describe and show the persistence of the system. Finally, numerical simulations verify the correctness of the theoretical results. The results show that the end of cargo pick-up with DNA robots for cargo sorting is closely related to the intensity of noise.
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Acknowledgements
This work is supported by the National Key R&D Program of China (No. 2018YFC0910500), National Natural Science Foundation of China (Nos. 61425002, 61751203, 61772100, 61972266, 61802040, 61672121, 61572093), Program for Changjiang Scholars and Innovative Research Team in University (No. IRT_15R07), Program for Liaoning Innovative Research Team in University (No. LT2017012), Natural Science Foundation of Liaoning Province (Nos. 2020-KF-14–05, 2019-ZD-0567), High-level Talent Innovation Support Program of Dalian City (Nos. 2017RQ060, 2018RQ75), Dalian Outstanding Young Science and Technology Talent Support Program (No. 2017RJ08), State Key Laboratory of Light Alloy Casting Technology for High-end Equipment (No.LACT-006) and Scientific Research Fund of Liaoning Provincial Education Department (No. JYT19051).
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Fu, H., Lv, H., Zhang, Q. (2021). Modeling and Analysis of Nonlinear Dynamic System with Lévy Jump Based on Cargo Sorting DNA Robot. In: Tan, Y., Shi, Y. (eds) Advances in Swarm Intelligence. ICSI 2021. Lecture Notes in Computer Science(), vol 12689. Springer, Cham. https://doi.org/10.1007/978-3-030-78743-1_50
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DOI: https://doi.org/10.1007/978-3-030-78743-1_50
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