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Robust H_(∞) Control of Switched Nonlinear Systems Under Sampled Data

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Journal of Systems Science & Complexity 2022年第5期35卷 1785-1807页

作者： ZHAO Hongpeng WANG Xingtao School of Mathematics Harbin Institute of TechnologyHarbin 150001China

This paper investigates the globally asymptotically stable and L_(2)-gain of robust H_(∞)control for switched nonlinear systems under sampled *** considering the relationship between the sampling period and the dwell time,the non-switching and one switching are discussed in the sampling interval,***,a state feedback sampled-data controller is constructed by the back-stepping method,and the switching converts to asynchronous switching if it happens within the sampling ***,under the limiting conditions of the sampling period,which are obtained by the average dwell time method,the closed-loop system is globally asymptotically stable and has L_(2)-***,two numerical examples are provided to demonstrate the effectiveness of the proposed method.

关键词： Asynchronous switching globally asymptotically stable L_(2)-gain robust H_(∞)control sampled data

Analysis of a SIS epidemic model with stage structure and a delay

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Communications in Nonlinear Science and Numerical Simulation 2001年第1期6卷 35-39页

作者： Yanni XIAO and Lansun CHEN (Academy of Mathematics & System Sciences, Academic Sinica, Beijing 100080, China ) Academy of Mathematics & System Sciences Academia Sinica Beijing 100080 China

A disease transmission model of SIS type with Stage structure and a delay corresponding to the infectious period is formulated. By constructing the difference operator and using global convergence theorem, we show that the disease-free equilibrium is globally asymp- totically stable. The Stability of an endemic equilibrium are investigated for the differential- difference equations.

关键词： SIS epidemic model delay threshold globally asymptotically stable

Dynamical analysis for delayed virus infection models with cell-to-cell transmission and density-dependent diffusion

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International Journal of Biomathematics 2020年第7期13卷 63-92页

作者： Shaoli Wang Achun Zhang Fei Xu School of Mathematics and Statistics Bioinformatics Center Henan University Kaifeng 475001HenanP.R.China School of Mathematics and Statistics Henan University Kaifeng 475001HenanP.R.China Department of Mathematics Wilfrid Laurier University WaterlooOntarioN2L 3C5Canada

In this paper,certain delayed virus dynamical models with cell-to-cell infection and density-dependent diffusion are *** the viral model with a single strain,we have proved the well-posedness and studied the global stabilities of equilibria by defining the basic reproductive number R_(0) and structuring proper Lyapunov ***,we found that the infection-free equilibrium is globally asymptotically stable if R_(0)globally asymptotically stable if R_(0)>*** the multi-strain model,we found that all viral strains coexist if the corresponding basic reproductive number R^(e)_(j)>1,while virus will extinct if R^(e)_(j)<*** a result,we found that delay and the density-dependent diffusion does not influence the global stability of the model with cell-to-cell infection and homogeneous Neumann boundary conditions.

关键词： Virus dynamical model time delay density-dependent diffusion cell-to-cell infection globally asymptotically stable

An SIS Epidemic Model with Stage Structure and a Delay

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Acta Mathematicae Applicatae Sinica 2002年第4期18卷 607-618页

作者： Yan-ni Xiao, Lan-sun ChenAcademy of Mathematics and System Sciences, Chinese Academy of Sciences. Beijing 100080. China Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China

A disease transmission model of SIS type with stage structure and a delay is formulated. Stability of the disease free equilibrium, and existence, uniqueness, and stability of an endemic equilibrium, are investigated for the model. The stability results arc stated in terms of a key threshold parameter. The effects of stage structure and time delay on dynamical behavior of the infectious disease are analyzed. It is shown that stage structure has no effect on the epidemic model and Hopf bifurcation can occur as the time delay increases.

关键词： SIS epidemic model threshold globally asymptotically stable hopf bifurcation stage structure

Improved Delay-dependent Stability for Neural Networks with Mixed Time-varying Delays

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Improved Delay-dependent Stability for Neural Networks with ...

Global Stability of a Multi-Group Delayed Epidemic Model

第25届中国控制与决策会议

作者： Lei Zhang School of Information Science Shanghai Ocean University

ISBN: (纸本)9781467355339

This paper proposes improved delay-dependent stability criteria for neural networks with mixed time-varying delays as well as generalized activation functions. By constructing a novel Lyapunov functional and using Jensen inequality, improved stability criteria are derived to guarantee the globally asymptotic stability of the delayed neural networks. The criteria improve over some existing ones in that they have fewer matrix variables yet less conservatism, which is established theoretically. A numerical example is given to show the advantages of the proposed method in effectiveness and conservativeness.

关键词： Delay-dependent Neural networks globally asymptotically stable Linear matrix inequality(LMI)

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Journal of Mathematical Research with Applications 2016年第5期36卷 547-560页

作者： Bowen REN Ke CHEN Dejun FAN School of Economics Liaoning University Department of Mathematics Harbin Institute of Technology

A multi-group epidemic model with a variables separated incidence rate and delays is *** strongly and non-strongly connected networks,the basic reproductive number R;is calculated,*** applying the Lyapunov functionals and the La Salle invariance principle,we prove the global asymptotic stability of infection-free equilibrium P;when R; 1.

关键词： globally asymptotically stable multi-group delayed system Lyapunov functionals connectivity

DynamicalSystem for Computing the Elliptic Boundary Problem

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The Journal of China Universities of Posts and Telecommunications 1997年第1期4卷 51-54,69页

作者： YeDazhen XiaYoushen 等 NanjingUniversityofPostsandTelecommunications Nanjing210003P.R.China NanjingUniversityofPostsandTele

A dynamical system for computing the elliptic boundary problem is *** is shown that the proposed system is globally asymptotically *** system can be simulated by a neural *** results are valid and satisfactory.

关键词： elliptic boundary problem neural network globally asymptotically stable

THE VOLTERRA MODEL FOR THREE SPACIES PREDATOR-PREY SYSTEMS IN LOOPS

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Annals of Differential Equations 2003年第1期19卷 76-83页

作者：王远世吴红朱思铭 College of Math. & Scientific Computations Zhongshan University Guangzhou 510275

We consider the three species predator-prey model with the same intrinsic growth rates, where species 3 feeds on species 2, species 2 feeds on species 1, species 1 feeds on species 3. An open question raised by Nishan Krikorian is answered: We obtain the necessary and sufficient conditions for all the orbits to be unbounded. We also obtain the necessary and sufficient conditions for the positive equilibrium to be globally stable. It is shown that there exists a family of neutrally stable periodic orbits, in which we extend Darboux method to three-species models for the first time.

关键词： Darboux method predator-prey model of three-species globally asymptotically stable Stocks theorem

Study of two-nutrient and two-micro-organism chemostat model with pulsed input in a polluted environment

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International Journal of Biomathematics 2015年第4期8卷 1-15页

作者： Jianwen Jia Tingting Lv School of Mathematics and Computer Science Shanxi Normal University Shanxi Linfen 041004 P. R. China

In this paper, a model of Beddington-DeAngelies chemostat involving two species of micro-organism competing for two perfectly complementary growth-limiting nutrients and pulsed input of toxicant in the polluted environment was studied. Using Floquet theory and small amplitude perturbation method, a conclusion was that there exists twomicro-organism eradication periodic solution and which is global asymptotical stability. At the same time, the condition of the permanence for system was obtained. From the biological point of view, the method for protecting species is to improve the amount of impulsive period, and control the amount of toxicant input to the chemostat. Finally, our results are illustrated by numerical simulations.

关键词： Chemostat impulsive globally asymptotically stable persistence.