教学情况

一、主讲课程

本科生课程：数学分析、数学分析选讲、常微分方程、控制论基础、复变函数与积分变换、高等数学、 线性代数.

硕士生课程：泛函分析、泛函微分方程、稳定性理论与方法、现代控制理论、分数微积分、分数阶微分方程理论.

二、教学研究课题

[1]主持2012年省级教研项目“高师院校高等数学课程改革与实践”(No. 2012 jyxm364).

[2]主持2019年省级“数学与应用数学”一流本科专业建设点 (教高厅函〔2019〕46号).

[3]主持2019年省级“数学一流本科人才示范引领基地”建设 (No. 2019rcsfjd056).

[4]主持2020年省级“数学专业课程思政教学团队”建设 (No. 2020kcszjxtd48).

[5]主持2020年省级“数学分析教学示范课”建设 (No. 1499).

[6]主持2021年国家级“数学与应用数学”一流本科专业建设点 (教高厅函〔2021〕7号).

[7]主持2022年省级“复杂网络系统分析与控制优秀研究生导师团队”建设（No. 2022yjsdstd045）.

[8]主持2022年省级重大教学研究项目“教育部新一轮本科审核评估免费白菜分享论坛建设方案”（No. 2022jyxm930）.

三、教学成果奖

[1]参与教研 "数学建模竞赛与教学”荣获2016年安徽省教学成果二等奖.

[2]参与教研 "基于学科平台的互动合作，培养创新创业人才的研究与实践”荣获2019年安徽省教学成果三等奖.

[3]主持教研 "基于服务大别山革命老区基础教育发展的数学卓越教师-拔尖人才培养模式的改革和实践”荣获2021年安徽省教学成果二等奖.

[4]参与教研 "课程思政'五位一体'建设模式的理论创新与实践探索”荣获2023年安徽省教学成果一等奖.

学术研究

一、学术研究课题

[1]主持2019年安徽省自然科学基金面上项目"分数阶时滞神经网络系统的动力学研究" (No. 1908085MA01).

[2]参与2019年国家自然科学基金面上项目"复杂生物种群网络多稳性和引爆点的机理与预测研究”.（No. 11975025）.

[3]参与2019年安徽省高校优秀青年人才项目"不确定Lur'e时滞系统的稳定性分析和控制”(No. gxyq2019048).

[4]参与2018年安徽省高校自然科学研究重点项目"基于比较原理的分数阶时滞神经网络系统的同步性研究" (No. KJ2018A0365).

[5]主持2016年安徽省高校优秀青年拔尖人才重点项目"分数阶时滞微分方程的若干问题研究" (No. gxyqZD2016205).

[6]参与2016年安徽省自然科学基金项目"具有Allee效应离散捕食系统的动力学行为研究" (No. 1608085MA14).

[7]主持2011年安徽省高校自然科学研究重点项目"退化微分方程的时滞研究” (No. KJ2011A197).

[8]主持2008年安徽省高校自然科学研究一般项目"退化时滞控制系统的若干问题研究” (No. KJ2008B152).

二、主要学术论文（*代表通讯作者）

[1]Hai Zhang*, Wei Jiang. Asymptotic stability criteria for singular differential nonlinear systems with time-varying delays, Journal of Mathematical Research and Exposition, 2010.

[2]张海*, 郑祖庥, 蒋威. 非线性分数阶泛函微分方程解的存在性, 数学物理学报, 2011.

[3]张海*, 赵小文, 蒋威. 分数阶一般退化微分系统的通解, 数学杂志, 2011.

[4]Hai Zhang*, Wei Jiang. Stability of neutral singular differential systems with multiple time-varying delays, Chinese Journal of Engineering Mathematics, 2011.

[5]Hai Zhang*, Jinde Cao. Controllability criteria for linear fractional differential systems with state delay andimpulses, Journal of Applied Mathematics, 2013.

[6]Hai Zhang*, Jinde Cao. General solution of linear fractional neutral differential difference equations, Discrete Dynamics in Nature and Society, 2013.

[7]Hai Zhang*, Jinde Cao. Reachability and controllability of fractional singular dynamical systems with control delay, Journal of Applied Mathematics, 2013.

[8]Daiyong Wu, Hai Zhang*, Jinde Cao, Tasawar Hayat. Stability and bifurcation analysis of a nonlinear discrete Logistic model with delay, Discrete Dynamics in Nature and Society, 2013.

[9]Hai Zhang*, Daiyong Wu, et al. Stability analysis for fractional-order linear singular delay differential systems, Discrete Dynamics in Nature and Society, 2014.

[10]Hai Zhang*, Daiyong Wu, Jinde Cao. Asymptotic stability of Caputo type fractional neutral dynamical systems with multiple discrete delays, Abstract and Applied Analysis, 2014.

[11]Hai Zhang*, Daiyong Wu. Variation of constant formulae for time invariant and time varying fractional delay differential systems, Journal of Mathematical Research with Applications, 2014.

[12]Daiyong Wu*, Hai Zhang. Bifurcation analysis of a two-species competitive discrete model of plankton allelopathy, Advances in Difference Equations, 2014.

[13]张海*, 李琳, 蒋威. 具多时滞的混合型分数阶微分方程的通解表示, 中国科学技术大学学报, 2015.

[14]Hai Zhang, Renyu Ye, Jinde Cao*, Ahmed Alsaedie. Existence and globally asymptotic stability of equilibrium solution for fractional-order hybrid BAM neural networks with distributed delays and impulses, Complexity, 2017.

[15]Hai Zhang*. Research on Fractional-Order Delayed Differential Equations [M], Hefei: Anhui University Press, 2018.

[16]Hai Zhang, Renyu Ye, Song Liu, Jinde Cao*, Ahmed Alsaedie, Xiaodi Li. LMI-based approach to stability analysis for fractional-order neural networks with discrete and distributed delays, International Journal of Systems Science, 2018.

[17]Hai Zhang*, Renyu Ye, Jinde Cao, Ahmed Alsaedie. Delay-independent stability of Riemann-Liouville fractional neutral-type delayed neural networks, Neural Processing Letters, 2018.

[18]Hai Zhang, Renyu Ye, Jinde Cao*, Ahmed Alsaedie, Xiaodi Li, Ying Wan. Lyapunov functional approach to stability analysis of Riemann-Liouville fractional neural networks with time-varying delays, Asian Journal of Control, 2018.

[19]Hai Zhang*, Miaolin Ye, Jinde Cao, Ahmed Alsaedie. Synchronization control of Riemann-Liouville fractional competitive network systems with time-varying delay and different time scales, International Journal of Control, Automation and Systems, 2018.

[20]Hai Zhang*, Miaolin Ye, Renyu Ye, Jinde Cao*. Synchronization stability of Riemann-Liouville fractional delay-coupled complex neural networks, Physica A, 2018.  

[21]B. Sundara Vadivoo, Raja Ramachandran, Jinde Cao*, Hai Zhang, Xiaodi Li. Controllability analysis of nonlinear neutral-type fractional-order differential systems with state delay and impulsive effects, International Journal of Control, Automation and Systems, 2018.

[22]Weiwei Zhang, Hai Zhang, Jinde Cao*, et al. Synchronization in uncertain fractional-order memristive complex-valued neural networks with multiple time delays, Neural Networks, 2019.

[23]Weiwei Zhang*, Hai Zhang, Jinde Cao, et al. Synchronization of delayed fractionalorder complex -valued neural networks with leakage delay, Physica A, 2020.

[24]Hai Zhang*, Jingshun Cheng, Hongmei Zhang, Weiwei Zhang, Jinde Cao*. Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays, Chaos, Solitons and Fractals, 2021.  

[25]Shuang Wang, Hai Zhang*, Weiwei Zhang, Hongmei Zhang. Finite-time projective synchronization of Caputo type fractional complex-valued delayed  neural networks, Mathematics, 2021.

[26]Chen Wang, Hai Zhang*, Hongmei Zhang, Weiwei Zhang. Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays, AIMS Mathematics, 2021.

[27]Yuhong Cheng, Hai Zhang*, Weiwei Zhang, Hongmei Zhang. Novel algebraic criteria on global Mittag-Leffler synchronization for FOINNs with the Caputo derivative and delay, Journal of Applied Mathematics and Computing, 2022.

[28]Hai Zhang*, Yuhong Cheng, Hongmei Zhang, Weiwei Zhang, Jinde Cao*. Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects, Mathematics and Computers in Simulation, 2022.

[29]Hai Zhang*, Chen Wang, Weiwei Zhang, Hongmei Zhang. Mittag-Leffler stability and synchronization for FOQVFNNs including proportional delay and Caputo derivative via fractional differential inequality approach, Computational and Applied Mathematics, 2022.

[30]Jingshun Cheng, Hai Zhang*, Weiwei Zhang, Hongmei Zhang. Quasi-projective synchronization for Caputo type fractional-order complex-valued neural networks with mixed delays, International Journal of Control, Automation and Systems, 2022.

[31]Qiong Wu, Zhimin Yao, Zhouping Yin, Hai Zhang*. Fin-TS and Fix-TS on fractional quaternion delayed neural networks with uncertainty via establishing a new Caputo derivative inequality approach, Mathematical Biosciences and Engineering, 2022.

[32]Weiwei Zhang*, Hai Zhang, Jinde Cao, Hongmei Zhang, F.E. Alsaadi, A. Alsaedi. Global projective synchronization in fractional‐order quaternion valued neural networks, Asian Journal of Control, 2022.

[33]Hai Zhang*, Chen Wang, Renyu Ye,  Ivanka Stamova, Jinde Cao*.  Novel order-dependent passivity conditions of fractional generalized Cohen-Grossberg neural networks with proportional delays, Communications in Nonlinear Science and Numerical Simulation, 2023.

[34]Hai Zhang*, Yuhong Cheng, Weiwei Zhang, Hongmei Zhang. Time-dependent and Caputo derivative order-dependent quasi-uniform synchronization on fuzzy neural networks with proportional and distributed delays, Mathematics and Computers in Simulation, 2023.

[35]Chen Wang, Hai Zhang*,  Ivanka Stamova, Jinde Cao. Global synchronization for BAM delayed reaction-diffusion neural networks with fractional partial differential operator, Journal of the Franklin Institute, 2023.

[36]Chen Wang, Hai Zhang*, Renyu Ye, Weiwei Zhang, Hongmei Zhang. Finite time passivity analysis for Caputo fractional BAM reaction-diffusion delayed neural networks, Mathematics and Computers in Simulation, 2023.

[37]Yuhong Cheng, Hai Zhang*,  Ivanka Stamova*, Jinde Cao. Estimate scheme for fractional order-dependent fixed-time synchronization on Caputo quaternion-valued BAM network systems with time-varying delays, Journal of the Franklin Institute, 2023.

[38]Hongmei Zhang, Hai Zhang*, Weiwei Zhang, Jinde Cao. LMI-based synchronization conditions to R-L fractional time-varying delayed neural networks with parametric uncertainty, Neural Processing Letters, 2023.

[39]Hongmei Zhang, Hai Zhang*, Weiwei Zhang, Chen Wang. Novel asymptotic synchronization criteria on Riemann-Liouville derivative type nonidentical delayed neural networks, International Journal of Control, Automation and Systems, 2023.

[40]Xinbin Chen, Hai Zhang*, Renyu Ye, Qinyun Lu, Jinde Cao. Quasi-Projective Synchronization Analysis of Delayed Caputo-type BAM Neural Networks in the Complex Field, Neural Processing Letters, 2023.

[41]Xinbin Chen, Weiwei Zhang, Hongmei Zhang, Hai Zhang*. Adaptive control design and fractional differential inequality approach to complete synchronization analysis on Caputo delayed quaternion-valued network systems, International Journal of Control, Automation and Systems, 2023. 

[42]Hai Zhang*, Xinbin Chen, Renyu Ye, Ivanka Stamova, Jinde Cao*. Quasi-projective synchronization analysis of discrete-time FOCVNNs via delay-feedback control, Chaos, Solitons and Fractals, 2023.

[43]Hai Zhang*, Xinbin Chen, Renyu Ye,  Ivanka Stamova, Jinde Cao. Adaptive quasi-synchronization analysis for Caputo delayed Cohen-Grossberg neural networks, Mathematics and Computers in Simulation, 2023.

[44]Hai Zhang*, Xinbin Chen, Renyu Ye, Qinyun Lu, Jinde Cao. Laplace transform and nonlinear control design for quasi-projective synchronization analysis for Caputo inertial delayed neural networks, Mathematical Methods in the Applied Sciences, 2023.

[45]Weiying Shang, Weiwei Zhang*, Hai Zhang, Hongmei Zhang, Jinde Cao, Fawaz E. Alsaadi. Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties, Nonlinear Analysis: Modelling and Control, 2023.

[46]Xiangnian Yin, Hongmei Zhang*,  Hai Zhang, Weiwei Zhang, Jinde Cao. New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed inertial neural networks, Nonlinear Analysis: Modelling and Control, 2023.

[47]Hongmei Zhang, Xiangnian Yin, Hai Zhang*, Weiwei Zhang. New criteria on global Mittag-Leffler synchronization for Caputo-type delayed Cohen-Grossberg Inertial Neural Networks, AIMS Mathematics, 2023.

[48]Panqing Gao, Hai Zhang*, Renyu Ye,  Ivanka Stamova, Jinde Cao. Quasi-uniform synchronization of fractional fuzzy discrete-time delayed neural networks via delayed feedback control design, Communications in Nonlinear Science and Numerical Simulation, 2023.

[49]Hai Zhang*, Chen Wang, Renyu Ye,  Jinde Cao. Novel Caputo fractional differential approach and hybrid control scheme for finite-time synchronization of nonidentical delayed reaction–diffusion neural networks, Asian Journal of Control, 2024.

[50]Panqing Gao, Renyu Ye, Hai Zhang*, Ivanka Stamova, Jinde Cao. Asymptotic stability and quantitative synchronization of fractional competitive neural networks with multiple restrictions, Mathematics and Computers in Simulation, 2024.

[51]Chen Wang，Hai Zhang，Danli Wen，Mouquan Shen*，Liwei Li, Zhihao Zhang. Novel passivity and dissipativity criteria for discrete-time fractional generalized delayed Cohen–Grossberg neural networks, Communications in Nonlinear Science and Numerical Simulation, 2024.

[52]Weiying Shang, Weiwei Zhang*, Hai Zhang, Hongmei Zhang, Jinde Cao. Results on finite time passivity of fractional-order quaternion-valued neural networks with time delay via linear matrix inequalities, Journal of Applied Mathematics and Computing, 2024.

[53]Yan He, Weiwei Zhang*, Hai Zhang, Jinde Cao, Fawaz E Alsaadi. Finite-time projective synchronization of fractional-order delayed quaternion-valued fuzzy memristive neural networks, Nonlinear Analysis: Modelling and Control, 2024.

[54]Xinbin Chen, Renyu Ye, Hai Zhang*, Ivanka Stamova, Jinde Cao. Finite-time synchronization criteria on delayed FOCVNNs with uncertain parameters and difference operator, Journal of the Franklin Institute, 2024.

[55]Yan He, Weiwei Zhang*, Hai Zhang, Dingyuan Chen, Jinde Cao. Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays, Neural Networks, 2024.

三、科学技术成果奖

[1]参与科研“泛函微分方程理论与应用研究”荣获2009年度安徽省科学技术成果二等奖.

[2]参与科研“尺度格局下环境扰动对濒危物种的影响机制及模型预测”荣获2016年度安徽省科学技术成果三等奖.