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uniform　boundedness　AND　uniform　STABILITY　OF　A　KIND　OF　DELAY──DIFFERENTIAL　EQUATIONS

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Annals of Differential Equations 1994年第3期10卷 368-373页

作者：郑步南广西师范大学

This paper presents a discussion of differential equations with two terms generated by delays. They are as follows x′(t) = a(t)x(t - p(t)) - b(t)x(t - r(t)).Sufficient conditions for its solution with uniform bound a... 详细信息

关键词： delay uniform boundedness uniform stability.

uniform boundedness AND STABILITY OF SOLUTIONS TO A CUBIC PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION

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Annals of Differential Equations 2009年第3期25卷 264-274页

作者： Huaihuo Cao1,2,Shengmao Fu2 (1. Dept. of Math. and Computer Science,Chizhou College,Chizhou 247000,Anhui 2. Dept. of Math.,Northwest Normal University,Lanzhou 730070) Dept.of Math.and Computer Science Chizhou CollegeChizhou 247000Anhui Dept.of Math. Northwest Normal UniversityLanzhou 730070 Dept.of Math. Northwest Normal UniversityLanzhou 730070

Using the energy estimate and Gagliardo-Nirenberg-type inequalities,the existence and uniform boundedness of the global solutions to a strongly coupled reaction-diffusion system are proved. This system is a generalization of the two-species Lotka-Volterra predator-prey model with self and cross-diffusion. Suffcient condition for the global asymptotic stability of the positive equilibrium point of the model is given by constructing Lyapunov function.

关键词： self and cross-diffusion uniform boundedness global solutions stability

ON THE uniform boundedness OF SOLUTIONS OF SOME NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER

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Applied Mathematics and Mechanics(English Edition) 1999年第6期20卷 41-47页

作者： Tunç, Cemil Education Faculty Yüzüncü Yil University 65080 Van Turkey

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｗｏｒｋ，ｗｅｓｔｕｄｙｔｈｅｐｒｏｂｌｅｍｓｏｆｔｈｅｂｏｕｎｄｅｄｎｅｓａｎｄｕｎｉｆｏｒｍｂｏｕｎｄｅｄｎｅｓｏｆｓｏｌｕｔｉｏｎｓｏｆｎｏｎ＿ａｕｔｏｎｏｍｏｕｓｄｉｆｅｒ... 详细信息

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｗｏｒｋ，ｗｅｓｔｕｄｙｔｈｅｐｒｏｂｌｅｍｓｏｆｔｈｅｂｏｕｎｄｅｄｎｅｓａｎｄｕｎｉｆｏｒｍｂｏｕｎｄｅｄｎｅｓｏｆｓｏｌｕｔｉｏｎｓｏｆｎｏｎ＿ａｕｔｏｎｏｍｏｕｓｄｉｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｏｆ...

关键词： Lyapunov’s function Lyapunov' s function nonlinear differential equation of the fourth order O175.14 uniform boundedness

Stability and uniform boundedness for a Class of Anaerobic Digestion Ecological Models

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Journal of Electronic Science and Technology of China 2004年第2期2卷 87-89页

作者：李明奇 School of Applied Mathematics UESTC Chengdu 610054 China

Stability, boundedness and persistence are three important aspects for an ecological model. In this paper, a further analysis of a class of anaerobic digestion ecological models is performed. Based on the Liupunov Method, the local stability of all equilibria in the system is got. According to the vector fields described by the system, the proof of the boundedness of the solution on the anaerobic digestion processes is completed in three steps. The method proposed in the discussion on the boundedness can be generalized to the similar problems. Results in this paper give information on how to run the ecological system well by adjusting the system parameters.

关键词： anaerobic digestion processes ecological models of microbes stability uniform boundedness

Outlier-resistant distributed fusion filtering for nonlinear discrete-time singular systems under a dynamic event-triggered scheme

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Frontiers of Information Technology & Electronic Engineering 2024年第2期25卷 237-249页

作者： Zhibin HU Jun HU Cai CHEN Hongjian LIU Xiaojian YI Department of Applied Mathematics Harbin University of Science and TechnologyHarbin150080China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and TechnologyHarbin150080China School of Automation Harbin University of Science and TechnologyHarbin150080China School of Mathematics and Physics Anhui Polytechnic UniversityWuhu241000China School of Mechatronical Engineering Beijing Institute of TechnologyBeijing100081China Yangtze Delta Region Academy of Beijing Institute of Technology Jiaxing314003China Tangshan Research Institute Beijing Institute of TechnologyTangshan063099China

This paper investigates the problem of outlier-resistant distributed fusion filtering(DFF)for a class of multi-sensor nonlinear singular systems(MSNSSs)under a dynamic event-triggered scheme(DETS).To relieve the effect of measurement outliers in data transmission,a self-adaptive saturation function is ***,to further reduce the energy consumption of each sensor node and improve the efficiency of resource utilization,a DETS is adopted to regulate the frequency of data *** the addressed MSNSSs,our purpose is to construct the local outlier-resistant filter under the effects of the measurement outliers and the DETS;the local upper bound(UB)on the filtering error covariance(FEC)is derived by solving the difference equations and minimized by designing proper filter ***,according to the local filters and their UBs,a DFF algorithm is presented in terms of the inverse covariance intersection fusion *** such,the proposed DFF algorithm has the advantages of reducing the frequency of data transmission and the impact of measurement outliers,thereby improving the estimation ***,the uniform boundedness of the filtering error is discussed and a corresponding sufficient condition is ***,the validity of the developed algorithm is checked using a simulation example.

关键词： Distributed fusion filtering Multi-sensor nonlinear singular systems Dynamic event-triggered scheme Outlier-resistant filter uniform boundedness

Dynamical Model to Optimize Student’s Academic Performance

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Computer Modeling in Engineering & Sciences 2022年第8期132卷 393-411页

作者： Evren Hincal Amna Hashim Alzadjali Department of Mathematics Near East UniversityMersin10 KKTCCyprus

Excellent student’s academic performance is the uppermost priority and goal of educators and *** dubious marginal rate between admission and graduation rates unveils the rates of dropout and withdrawal from *** improve the academic performance of students,we optimize the performance indices to the dynamics describing the academic performance in the form of nonlinear system *** established the uniform boundedness of the model and the existence and uniqueness *** independence and interdependence equilibria were found to be locally and globally asymptotically *** optimal control analysis was carried out,and lastly,numerical simulation was run to visualize the impact of the performance index in optimizing academic performance.

关键词： Academic performance optimal control uniform boundedness Pontryagin Maximum Principle(PMP) existence and uniqueness stability

boundedness IN p-NFDES

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Annals of Differential Equations 2001年第3期17卷 248-260页

作者：徐志庭温立志 Dept.of Applied Math. Guangdong University of Technology Guangzhou 510090 Dept. of Math. South China Normal University Guangzhou 510631

This paper considers a class of p-NFDEs. By Liapunov functionals, we establish two boundedness criteria, which improve some boundedness conditions for FDEs in the literature. Some examples are also worked out to demon... 详细信息

关键词： uniform boundedness Liapunov functional neutral functional differen-tial equations with unbounded delay