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Dissipative Control for T–S Fuzzy Stochastic Descriptor Biological Economic Systems with Time-Varying Delays

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Abstract

This paper addresses the dissipative control problem for a class of stochastic descriptor biological economic systems with time-varying delays. By introducing time-varying delays into the system where the economic profit is variable, a new stochastic descriptor biological economic system with time-varying delays is presented. Considering the nonlinearity of such systems, the fuzzy stochastic models are established via the Takagi–Sugeno (T–S) fuzzy control approach. And then, the T–S fuzzy stochastic models are transformed into the equivalent subsystems by restricted equivalent transformation. Through the subsystems, by using a novel delay-dependent Lyapunov–Krasovskii functional, the new sufficient condition is obtained to enable the considered systems to be mean-square admissible and stochastic strictly dissipative. Furthermore, the fuzzy state feedback controller is designed to ensure the population and price are stable by the regulation control for the biological resource. In the end, simulation examples are given to illustrate the effectiveness of the proposed control design method.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant Nos. 61803275, 62073144, 61733008, Liao Ning Revitalization Talents Program under Grant XLYC1907044, Natural Science Foundation of Liaoning Province under Grant No. 2020-MS-218, Guangzhou Science and Technology Planning Project Under Grant 202002030389, Scientific Research Project of Liaoning Provincial Department of Education-Science and Engineering Basic Research Project under Grant No.lnjc 202018.

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  1. Shuangyun Xing

    Present address: School of Science, Shenyang Jianzhu University, Shenyang, China

Authors and Affiliations

  1. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang, China

    Chunling Chang & Shuangyun Xing

  2. School of Science, Shenyang Jianzhu University, Shenyang, China

    Chunling Chang

  3. Systems Engineering Institute, South China University of Technology, Guangzhou, China

    Feiqi Deng & Xishun Yue

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  1. Chunling Chang
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Correspondence to Shuangyun Xing.

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Chang, C., Xing, S., Deng, F. et al. Dissipative Control for T–S Fuzzy Stochastic Descriptor Biological Economic Systems with Time-Varying Delays. Int. J. Fuzzy Syst. 24, 1974–1985 (2022). https://doi.org/10.1007/s40815-022-01253-8

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  • DOI: https://doi.org/10.1007/s40815-022-01253-8

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