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Finite time stability analysis for T-S fuzzy positive systems and its application in pest control
Author(s) -
Tong Yang,
Yuyin Cheng,
Baolong Zhu
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2246/1/012088
Subject(s) - stability (learning theory) , control theory (sociology) , lyapunov function , mathematics , nonlinear system , stability theorem , fuzzy logic , fuzzy control system , pest analysis , function (biology) , control (management) , computer science , mathematical analysis , biology , artificial intelligence , physics , botany , quantum mechanics , machine learning , cauchy distribution , evolutionary biology
This paper is considered with the finite time stability (FTS) for positive nonlinear systems. First, the fuzzy copositive Lyapunov function (FCLF) is established to reduce the conservatism of FTS conditions. Then, by using FCLF, a new FTS criteria of the studied systems is established. Since, the time-derivatives (TD) of membership functions are considered in the stability analysis, our results are less conservative. Besides, the obtained conditions are expressed via the linear programming technique, that can be verified effectively. Finally, the pest-predator system is used to reflect the effectiveness of the results.

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