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Fixed-Time Cluster Consensus for Multi-Agent Systems with Objective Optimization on Directed Networks

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Journal of Systems Science & Complexity 2023年第6期36卷 2325-2343页

作者： DUAN Suna YU Zhiyong jiang haijun OUYANG Deqiang College of Mathematics and System Sciences Xinjiang UniversityUrumqi830017China Department of Mathematics The University of Hong KongHong Kong999077China

This paper studies the cluster consensus of multi-agent systems(MASs)with objective optimization on directed and detail balanced networks,in which the global optimization objective function is a linear combination of local objective functions of all ***,a directed and detail balanced network is constructed that depends on the weights of the global objective function,and two kinds of novel continuous-time optimization algorithms are proposed based on time-invariant and timevarying objective ***,by using fixed-time stability theory and convex optimization theory,some sufficient conditions are obtained to ensure that all agents'states reach cluster consensus within a fixed-time,and asymptotically converge to the optimal solution of the global objective ***,two examples are presented to show the efficacy of the theoretical results.

关键词： Cluster consensus directed and detail balanced network multi-agent systems(MASs) objective optimization

Bifurcation and Turing instability for genetic regulatory networks with diffusion

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International Journal of Biomathematics 2023年第2期16卷 1-30页

作者： Hongyan Sun Jianzhi Cao Peiguang Wang haijun jiang School of Management Hebei University Baoding 071002P.R.China College of Mathematics and Information Sciences Key Laboratory of Machine Learning and Computational Intelligence Hebei University Baoding 071002P.R.China College of Mathematics and System Sciences Xinjiang University Urumqi 830046P.R.China

In this paper,a diffusive genetic regulatory network under Neumann boundary conditions is ***,the criteria for the local stability and diffusion-driven instability of the positive stationary solution without and with diffusion are investigated,***,Turing regions and pattern formation are obtained in the plane of diffusion ***,the existence and multiplicity of spatially homogeneous/nonhomogeneous non-constant steady-states are studied by using the Lyapunov-Schmidt ***,some numerical simulations are carried out to illustrate the theoretical results.

关键词： Genetic regulatory networks diffusion Turing instability pattern formation bifurcation Lyapunov-Schmidt reduction.

Temperature Field in Laser Line Scanning Thermography: Analytical Calculation and Experiment

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Computer Modeling in Engineering & Sciences 2023年第10期137卷 1001-1018页

作者： Yin Li Yuanjia Song Zhengwei Yang haijun jiang Bowen Liu China Aerodynamics Research and Development Center Mianyang621000China Xi’an Research Institute of High Technology Xi’an710025China Nanjing Novelteq Ltd.Nanjing210038China

The temperature field in laser line scanning thermography is investigated comprehensively in this work,including analytical calculation and ***,the principle of laser line scanning thermography is *** this basis,a physical laser line scanning model is ***,based on Fourier transform(FT)and segregation variablemethod(SVM),the heat conduction differential equation in laser line scanning thermography is derived in *** temperature field of the composite-based coatings model with defects is simulated *** results show that the laser line scanning thermography can effectively detect the defects in the *** correctness of the analytical calculation is verified by comparing the surface temperature distribution obtained by analytical calculation and numerical ***,an experiment is carried out and the changeable surface temperature obtained by analytical calculation is compared with the experimental *** shows that the error of maximum temperature obtained by analytical calculation and by experiment is 8%with high accuracy,which proves the correctness of analytical calculation and enriches the theoretical foundation of laser line scanning thermography.

关键词： Temperature field laser line scanning thermography analytical calculation numerical simulation experiment

Synchronization of coupled reaction-diffusion neural networks with switching topology via generalized intermittent control and adaptive strategy 36

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Synchronization of coupled reaction-diffusion neural network...

Analytical solutions of hard roof's bending moment,deflection and energy under the front abutment pressure before periodic weighting

第36届中国控制会议

作者： Binglong Lu haijun jiang Cheng Hu Abdujelil Abdurahman College of Mathematics and System Sciences Xinjiang University

ISBN: (纸本)9781538629185

The synchronization problem of linearly coupled reaction-diffusion neural networks with switching topology is discussed in this *** first,a generalized intermittent control and its adaptive strategy are *** type of control strategy can unify the traditional periodic intermittent control and the aperiodic case,and the adaptive control gains depend on space as well as ***,based on the designed control protocol,some novel and readily verified criteria,which have a close relationship with the diffusion coefficients and coupled strengths,are established to guarantee the synchronization of the considered ***,the effectiveness of the proposed control strategy is shown by a numerical example.

关键词： Reaction-diffusion neural network Linearly coupling Synchronization Generalized adaptive intermittent control

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International Journal of Mining Science and Technology 2016年第1期26卷 175-181页

作者： jiang haijun Cao Shenggen Zhang Yun Wang Chen State Key Laboratory of Coal Resources & Safe Mining China University of Mining & Technology School of Mines China University of Mining & Technology

The distribution of front abutment pressure is closely related to the force,deformation and energy distribution of hard roof before periodic weighting. So it is necessary to carry out research on the relationship between them. According to front abutment pressure distribution feature,using the location of peak front abutment pressure as the dividing point,coal seam is divided into two parts along the direction of mining: the yield zone that is the area between the faceline and the point where the maximum front abutment pressure occurs,and the elastic zone that is the part before the point of peak front abutment pressure. The proposed mechanical model of unit width hard roof at the panel center before periodic weighting consists of five parts including the yield zone. All parameters of the deflection equations for each of the five parts that satisfy the continuity conditions and natural boundary conditions are obtained by using the Matlab software. The continuous curves of front abutment pressure,deflection,bending moment and bending strain energy density distribution of hard roof are obtained by iterative approximation method,and the relationship between the yield zone width and the above curves are analyzed in detailed.

关键词： Periodic weightingFront abutment pressureYield zoneBending momentDeflectionBending strain energy

BIFURCATION CONTROL FOR A FRACTIONAL-ORDER DELAYED SEIR RUMOR SPREADING MODEL WITH INCOMMENSURATE ORDERS

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Acta Mathematica Scientia 2023年第6期43卷 2662-2682页

作者：叶茂林蒋海军 College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830046China

A fractional-order delayed SEIR rumor spreading model with a nonlinear incidence function is established in this paper,and a novel strategy to control the bifurcation of this model is ***,Hopf bifurcation is investigated by considering time delay as bifurcation parameter for the system without a feedback ***,a state feedback controller is designed to control the occurrence of bifurcation in advance or to delay it by changing the parameters of the ***,in order to verify the theoretical results,some numerical simulations are given.

关键词： rumor spreading fractional-order time delay bifurcation control

FIXED/PREASSIGNED-TIME SYNCHRONIZATION OF QUATERNION-VALUED NEURAL NETWORKS INVOLVING DELAYS AND DISCONTINUOUS ACTIVATIONS: A DIRECT APPROACH

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Acta Mathematica Scientia 2023年第3期43卷 1439-1461页

作者：魏琬璐胡成于娟蒋海军 College of Mathematics and System Science Xinjiang UniversityUrumqi830017China

The fixed-time synchronization and preassigned-time synchronization are investigated for a class of quaternion-valued neural networks with time-varying delays and discontinuous activation functions. Unlike previous efforts that employed separation analysis and the real-valued control design, based on the quaternion-valued signum function and several related properties, a direct analytical method is proposed here and the quaternion-valued controllers are designed in order to discuss the fixed-time synchronization for the relevant quaternion-valued neural networks. In addition, the preassigned-time synchronization is investigated based on a quaternion-valued control design, where the synchronization time is preassigned and the control gains are finite. Compared with existing results, the direct method without separation developed in this article is beneficial in terms of simplifying theoretical analysis, and the proposed quaternion-valued control schemes are simpler and more effective than the traditional design, which adds four real-valued controllers. Finally, two numerical examples are given in order to support the theoretical results.

关键词： fixed-time synchronization preassigned-time synchronization quaternion-valued neural networks discontinuous activation direct analysis method

Prescribed-Time Practical Cluster Consensus for Multi-Agent Systems With Event-triggered Control

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Prescribed-Time Practical Cluster Consensus for Multi-Agent ...

Stability and optimal control for delayed rumor-spreading model with nonlinear incidence over heterogeneous networks

第43届中国控制会议

作者： Fujuan Zuo Zhiyong Yu haijun jiang College of Mathematics and System Sciences Xinjiang University School of Mathematics and Statistics Yili Normal University

The prescribed-time practical cluster consensus of multi-agent systems(MASs) with event-triggered control is studied in this article. Firstly, the practical consensus within a prescribed time for MASs with two clusters is investigated and a new event triggering control protocol with dynamic triggering mechanism is designed. Moreover, the MASs with multiple clusters is considered and the corresponding event triggering control protocol is *** on the prescribed-time stability theory, some sufficient conditions are obtained for MASs achieving practical cluster consensus in the prescribed-time. The boundedness of the controller is demonstrated and the Zeno behavior is avoided. Finally, the theoretical results are verified by two examples.

关键词： Cluster consensus event triggering prescribed-time stability MASs

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Chinese Physics B 2023年第5期32卷 710-723页

作者：罗续鹏蒋海军陈珊珊李佳容 College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830017China College of Mathematics and Physics Guangxi Minzu UniversityNanning 530006China

On the multilingual online social networks of global information sharing,the wanton spread of rumors has an enormous negative impact on people's ***,it is essential to explore the rumor-spreading rules in multilingual environment and formulate corresponding control strategies to reduce the harm caused by rumor *** this paper,considering the multilingual environment and intervention mechanism in the rumor-spreading process,an improved ignorants–spreaders-1–spreaders-2–removers(I2SR)rumor-spreading model with time delay and the nonlinear incidence is established in heterogeneous ***,based on the mean-field equations corresponding to the model,the basic reproduction number is derived to ensure the existence of rumor-spreading ***,by applying Lyapunov stability theory and graph theory,the global stability of rumor-spreading equilibrium is analyzed in *** particular,aiming at the lowest control cost,the optimal control scheme is designed to optimize the intervention mechanism,and the optimal control conditions are derived using the Pontryagin's minimum ***,some illustrative examples are provided to verify the effectiveness of the theoretical *** results show that optimizing the intervention mechanism can effectively reduce the densities of spreaders-1 and spreaders-2 within the expected time,which provides guiding insights for public opinion managers to control rumors.

关键词： rumor propagation heterogeneous network nonlinear incidence optimal control