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第二十九届中国控制会议

作者： LIU Hongliang1,2,DUAN Guang-Ren2,WANG Tao1 1.Academy of Mathematics,Harbin Normal University,Harbin 150060,P.R.China2.Centre for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,P.R.China

The problem of passive analysis and control for stochastic differential systems with markov switching and time delayis investigated.A new conception of passivityis presented,and the condition for delay-dependent passiveness of such stochastic systems is obtained by constructing a new type of Lyapunov-Krasovskii function,employing model transformation and Newton-Leibniz equality and slack matrix *** on this condition,delay-dependent passive controllers for such stochastic systems are *** proposed results are formulated in terms of linear matrix inequalities（LMIs）,which can be efficientlysolved bystandard convex optimization ***,a numerical example shows the effectiveness of the proposed method.

关键词： Stochastic Differential Systems Passivity markov switching Delay-Dependence Linear Matrix Inequality(LMI).

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Exponential mean-square stability of stochastic singular systems with markov switching

Exponential mean-square stability of stochastic singular sys...

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第37届中国控制会议

作者： Ticao Jiao Wei Xing Zheng Guangdeng Zong College of Electrical and Electronic Engineering Shandong University of Technology School of Computing Engineering and MathematicsWestern Sydney University School of Engineering Qufu Normal University

This paper studies the exponential mean-square stability problem for a class of stochastic singular systems with markov ***,we convert the original system into a differential-algebraic expression on the basis of singular value decomposition ***,some sufficient conditions for the exponential mean-square stability of the converted form are derived in terms of linear matrix inequalities,which in turn lead to the stability of the original system.

关键词： Stochastic singular systems markov switching exponential mean-square stability

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Finite-time passive control for interval energy-storing electrical circuit model with time-delay and markov switching

Finite-time passive control for interval energy-storing elec...

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第30届中国控制与决策会议

作者： Shasha Zhu Guici Chen Yali Yang College of Science Wuhan University of Science and Technology

In this paper, we focus on the stochastic finite-time passive control problem for interval energy-storing electrical systems with time-delay and markov switching. The mathematical model of energy-storing electrical circuit is given firstly, in which not only the error of resistor , inductance and capacitor , but the stochastic disturbance as well are considered. To investigate the finite-time passive control for the interval energy-storing electrical circuit,mathematical model is transformed into a kind of stochastic uncertain systems with time-delay and markov switching. By constructing a Lyapunov-Krasovskii functional, together with linear matrix inequalities（LMIs） toolbox, some sufficient conditions are given. Meanwhile, the passive controllers are also designed by solving the corresponding LMIs. Naturally,a numerical examples with simulation is given to illustrate the correctness and effectiveness of the designed controller.

关键词： Finite-time passive control interval systems markov switching

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A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources

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International Journal of Biomathematics 2023年第7期16卷 91-110页

作者： Wei Wei Wei Xu Jiankang Liu Department of Applied Mathematics Northwestern Polytechnical University Xi'an 710072 ShaanciP.R.China

The stochastic switching SIR epidemic model with saturated incidence and limited medical treatment is investigated in this *** using Lyapunov methods and Ito formula,we first prove that the system has a unique global positive solution with any positive initial *** combining inequality technique and the ergodic property of markov switching,the suficient conditions for extinction and persistence in the mean of the disease are *** results demonstrate that increasing medical resources and improving supply efficiency can accelerate the transition from the persistent state to the extinct ***,the high incidence rate will slow down the extinction of the ***,the switching noise can induce the system to toggle between the extinct and persistent ***,some numerical simulations are carried out to confirm the analytical results.

关键词： Epidemic model extinction persistence markov switching saturated incidence

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Ergodic stationary distribution of two stochastic tuberculosis models with imperfect vaccination and early and late latency

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International Journal of Biomathematics 2023年第6期16卷 27-56页

作者： Qian Jiang Zhijun Liu School of Mathematics and Statistics Hubei Minzu University Enshi Hubei445000P.R.China

This contribution probes into ergodic stationary distribution for two stochastic SVELIT(susceptible-vaccinated-early latent-late latent-infective-treated)tuberculosis(TB)models to observe the impact of white noises and color noises on TB control in random *** first investigate the existence and uniqueness of ergodic stationary distribution(EUESD)for the autonomous SVELIT model subject to white noises via the proper Lyapunov functions,and suficient conditions on the extinction of disease are ***,sufficient conditions for the EUESD and the extinction of disease for the SVELIT model with markov switching are also ***,some numerical examples validate the theoretical ***'s more,it has been observed that higher amplitude noises may lead to the eradication of TB,which is conducive to TB control.

关键词： TB models random perturbations markov switching ergodic stationary distribution extinction

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Stability and ergodicity of a stochastic under regime switching on Gilpin-Ayala model patches

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International Journal of Biomathematics 2017年第6期10卷 317-332页

作者： Adel Settati Laboratory of Mathematics and Applications Department of Mathematics Faculty of Sciences and Techniques B.P. 416-Tanger Principale Tanger Morocco

The purpose of this work is to investigate the asymptotic properties of a stochastic Gilpin--Ayala population system under regime switching on patches. We establish the global stability and the extinction of the trivial equilibrium state of the model. Further- more, we show the existence of the stationary distribution for our system model. The analytical results are illustrated by computer simulations.

关键词： Gilpin-Ayala model markov switching species dispersal extinction ergo-dicity.

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货币政策对股市的非对称性影响实证研究——以逆回购为例

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中国集体经济 2021年第23期 82-83页

作者：田学英南京邮电大学

在中国的股票市场当中,政府所采取的货币政策变动带来的各种后果不仅能够显著影响股票市场的运行,而且还表现出许多与传统经济金融理论大不相同的现象,所以研究此手段对股票市场的特征影响,具有一定的理论和现实意义,由于逆回购是中国... 详细信息

在中国的股票市场当中,政府所采取的货币政策变动带来的各种后果不仅能够显著影响股票市场的运行,而且还表现出许多与传统经济金融理论大不相同的现象,所以研究此手段对股票市场的特征影响,具有一定的理论和现实意义,由于逆回购是中国人民银行向市场注入流动性的主要手段,位列各类流动性工具之首。央行通过交替使用不同期限的逆回购,令资金投放更加精准。现在逆回购利率已成为市场新的利率风向标。所以文章选取逆回购为代表性货币政策,通过实证研究运用markov switching模型对市场进行简单划分,选取了2000~2019年的月度股票收益率,对我国股票市场进行模拟,将上海股票市场分为牛市与熊市两种市场状态,根据平滑概率推断出牛市出现次数较少,持续时间较短;熊市出现次数较多,持续时间较长。结论显示:逆回购对上海股票市场影响存在非对称效应,这种非对称性效应主要表现在逆回购在不同的市场行情中(不同的状态机制下)逆回购的发行量增速与逆回购利率缺口变动对股票市场的影响在显著水平下,作用方向、影响强度等方面存在差异。对牛市的影响小于对熊市的影响,最后基于理论与实践挖掘出内在的经济规律,从而对改善提升社会的经济发展完善货币政策建立机制等方面提出一些政策建议。

关键词：逆回购股票市场非对称性影响 markov switching 模型多元回归

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