Open AccessInvestigation on stability and controller design for singular bio-economic systems with stochastic fluctuations
Author(s) -
Yue Song,
Yi Zhang,
Song Yang,
Na Li
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021150
Subject(s) - control theory (sociology) , fuzzy logic , mathematics , bounded function , stability (learning theory) , controller (irrigation) , stochastic control , constant (computer programming) , mathematical optimization , computer science , control (management) , optimal control , mathematical analysis , programming language , artificial intelligence , machine learning , agronomy , biology
In this paper, the finite-time stability and control of a kind of singular bio-economic systems with stochastic fluctuations are investigated. When economic profit is no longer a constant but a variable, the system shows distinct dynamic behavior. First, a singular system is proposed to describe the bio-economic system with stochastic fluctuation. Then a singular stochastic T-S fuzzy model is established based on T-S fuzzy system theory. Second, a sufficient condition is proposed to satisfy finite-time stochastic stability of bio-economic system. On this basis, a fuzzy state feedback controller is designed which can make corresponding closed-loop singular stochastic bio-economic system admissible in finite-time, and the states of the system can be driven to a bounded range through the management of the open resource. Finally, the validity of the results is verified through the numerical simulation.