离散时间区间二型模糊不确定奇异时滞系统的耗散性分析  

Dissipativity analysis of discrete-time interval type-2 fuzzy uncertain singular systems with time-varying delays

作　　者：朱际铭 李江荣[1] 刘佳蕊 时娟 ZHU Jiming;LI Jiangrong;LIU Jiarui;SHI Juan(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2024年第2期68-73,共6页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金项目(62262067,12261090);陕西省自然科学基础研究计划项目(2020JM-552);陕西省留学人员科技活动择优资助项目(2022-022);延安大学研究生教育创新计划项目(YCX2023015,YCX2023009)。

摘　　要：研究了一类具有时变时滞的离散时间区间二型模糊不确定奇异系统的耗散性问题。首先,考虑到隶属度函数的不确定性,利用区间二型模糊系统模型对非线性奇异系统进行建模;其次,基于Lyapunov稳定性理论,利用Jensen不等式方法处理二重差分求和项,得到了保守性较小的离散时间区间二型模糊奇异时滞系统的耗散性的充分条件,并将这一条件进一步推广到离散时间区间二型模糊不确定奇异时滞系统;最后,通过数值仿真算例验证了所得结果的有效性和正确性。The dissipativity analysis of discrete-time interval type-2 fuzzy uncertain singular systems with timevarying delays is investigated.Firstly,considering the uncertainty of the affiliation function,the nonlinear singular system is modelled by using the interval type-2 fuzzy system model.Secondly,based on the Lyapunov stability theory,the Jensen inequality technique is used to deal with the two-fold difference summation term,and the suf⁃ficient conditions for the dissipation of the discrete-time interval type-2 fuzzy singular time-delay systems with less conservative characteristics are obtained,and this condition is further extended to discrete-time interval type-2 fuzzy uncertain singular time-lag systems.Finally,the validity and correctness of the obtained conclusions are veri⁃fied by a numerical simulation example.

关 键 词：区间二型模糊系统 奇异系统 时变时滞 耗散性 

分 类 号：O231[理学—运筹学与控制论]