个人简介
曾获荣誉:
(1) IMACS 2007 Most Successful Paper Award,International Association For Mathematics and Computers in Simulation (2)2017年国际SCI杂志J. The Franklin Inst.的杰出审稿人 (3) 2008年入选湖南省青年骨干教师培养计划
刘心歌, 男,美国数学评论通讯评论员,湖南省青年骨干教师。1991年6月于湖南师范大学数学系获学士学位, 1994年5月于湖南师范大学数学系获理学硕士学位, 2001年11月在中南大学数学院获博士学位, 2004年12月于中南大学信息工程学院控制科学与技术博士后流动站出站, 2004.10-2006.9 应Ralph Martin 教授的邀请在英国The Geometric Computing & Computer Vision Group, School of Computer Science, Cardiff University,Cardiff, UK 做博士后研究和访问学者。2008年评为教授和博士生导师。 主要从事神经网络、鲁棒控制、 控制理论与应用、动力系统、调和分析与小波分析、图象处理等领域的研究。已在《Automatica》、 《IEEE Transactions on Neural Networks》、《Nonlinear Dynamics》、 《Neurocomputing》、《 Physics Letters A》、 《Journal of Computational and Applied Mathematics》、 《Circuits, Systems, and Signal Processing》、 《Neural Computing and Applications》、 《Mathematical Methods in the Applied Sciences》、 《International Journal of Machine Learning and Cybernetics》、 《Applied Mathematics and Computation》、《Nonlinear Analysis: TMA》、《Mathematics and Computers in Simulation》等国内外权威学术期刊及重要国际会议上发表论文100多篇。
主持国家自然科学基金项目面上项目2项:(1)基于辅助函数方法的时滞系统的稳定性分析及应用 (2)基于随机过程的时滞神经网络模型的稳定性研究. 主持湖南省科技计划1项,参加国家自然科学基金项目、国家社会科学基金重点项目、国家社会科学基金项目、教育部社科规划基金、湖南省科技厅科技计划项目等7项。主持中南大学前沿研究计划重点项目:时滞神经网络的动力学研究及应用。 获得了世纪海翔优秀教师奖等多项荣誉称号。指导学生参加美国数模竞赛、中国研究生数模竞赛、全国大学生数模竞赛、全国大学生数学竞赛等国际和国内的学科竞赛,多次获得一等奖。
教育经历
[1] 1987.9-1991.6
湖南师范大学 | 数学专业 | 学士学位 | 大学本科毕业
[2] 1991.9-1994.5
湖南师范大学 | 数学专业 | 硕士学位 | 硕士研究生毕业
[3] 1996.9-2001.11
中南大学 | 概率论与数理统计 | 博士学位 | 博士研究生毕业
工作经历
[1] 2008.9-至今
中南大学 | 数学与统计学院 | 教授 | 教学与科研
[2] 2006.10-2008.8
中南大学 | 数学与统计学院 | 副教授 | 教学与科研
[3] 2002.12-2004.12
中南大学 | 信息工程学院 | 博士后\副教授 | 控制科学与工程博士后研究
[4] 2002.9-2004.9
中南大学 | 数学科学与计算技术学院 | 副教授 | 教学与科研
[5] 2004.10-2006.9
Cardiff University | School of Computer Science | Postdoctor and visiting scholar | 博士后研究与访学研究
[6] 1997.9-2002.8
中南大学 | 应用数学与应用软件系 | 讲师 | 教学与科研
[7] 1994.5-1997.8
中南大学 | 应用数学与应用软件系 | 助教 | 教学与科研
科研项目
[1]国家自然科学基金:基于辅助函数方法的时滞系统的稳定性分析及应用,在研,国家自然科学基金委,刘心歌
[2]国家自然科学基金:基于随机过程的时滞神经网络模型的稳定性研究,结题,国家自然科学基金委,刘心歌
[3]中南大学前沿研究计划重点项目:时滞神经网络的动力学研究及应用,结题,中南大学,刘心歌
[4]湖南省科技计划:时滞神经网络的动力学研究及应用,结题,湖南省科技厅,刘心歌
[5]国家社科基金重点: 基于“大数据+深度学习”的中国金融市场波动性及预警机制研究,在研,国家社科基金,邱冬阳
[6]湖南省科技计划:基于泛函微分方程的迭代逼近与滑模控制,结题,湖南省科技厅,唐美兰
[7]国家社科基金:马尔科夫链抽样方法的金融市场随机波动的联动性及预警机制,结题,邱冬阳
[8]教育部人文社会科学基金:基于马尔科夫蒙特卡罗法(MCMC)的金融市场收益波动性研究-理论、方法与中国实证,结题,教育部,邱冬阳
[9]国家自然科学基金: 基于自由权矩阵的时滞相关鲁棒控制方法研究,结题,国家自然科学基金委,何勇
教学成果
[1]研究生数学建模教育创新的研究与实践
研究领域
[1] 神经网络,
[2] 鲁棒控制
[3] 微分与差分方程
[4] 复杂系统的稳定性分析
[5] 不等式理论
1. 控制理论及应用 2.神经网络 3. 应用数学
近期论文
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[1]Fengxian Wang, Xinge Liu*, Meilan Tang, Lifang Chen.Further results on stability and synchronization of fractional-order Hopfield neural networks:Neurocomputing
[2]Xinge Liu, Qiaoling Xu, Xiaofan Liu*, Meilan Tang,Fengxian Wang.Novel double integral inequalities and their application to stability of delayed systems:International Journal of Innovative Computing, In,2018,14(5):1805-1832
[3]Feng-Xian Wang, Xin-Ge Liu?, Jing Li.Synchronization analysis for fractional non-autonomous neural networks by a Halanay inequality :Neurocomputing,2018,314:20–29
[4]Yan-Jun Shu, Xin-Ge Liu*, Feng-Xian Wang, Sai-Bing Qiu..Exponential input-to-state stability of stochastic neural networks with mixed delays :International Journal of Machine Learning and Cyb,2018,9:807–819
[5]Sai-Bing Qiu , Xin-Ge Liu*, Feng-Xian Wang, Yan-Jun Shu.Robust stability analysis for uncertain recurrent neural networks with leakage delay based on delay-partitioning approach:Neural Computing and Applications,2018,30(1):211–222
[6]Feng-Xian Wang ,Xin-Ge Liu*, Mei-Lan Tang ,Mu-Zhou Hou.Improved integral inequalities for stability analysis of delayed neural networks:Neurocomputing,2018,273:178-189
[7]Xin-Ge Liu, Feng-Xian Wang*, Mei-Lan Tang.Auxiliary function-based summation inequalities and their applications to discrete-time system:Automatica,2017,78:211–215
[8]Yanjun Shu, Xin-Ge Liu* , Saibing Qiu ,Fengxian Wang.Dissipativity analysis for generalized neural networks with Markovian jump parameters and time-varying delay:Nonlinear Dynamics,2017,89(3):2125-2140
[9]Yanjun Shu , Xin-Ge Liu*, Yajuan Liu Ju H. Park.Improved results on guaranteed generalized H2 performance state estimation for delayed static neural networks :Circuits, Systems and Signal Processing,2017,36(8):3114–3142
[10]Yanjun Shu, Xinge Liu*, FengxianWang ,Saibing Qiu.Further results on exponential stability of discrete-time BAM neural networks with time-varying delays:Mathematical Methods in the Applied Sciences,2017,40(11):4014-4027
[11]Xiaofan Liu, Xinge Liu*, Meilan Tang, Fengxian Wang.Improved exponential stability criterion for neural networks with time-varying delay:Neurocomputing,2017,234:154–163
[12]Xin-Ge Liu, Feng-Xian Wang, Mei-Lan Tang, Sai-Bing Qiu.Stability and synchronization analysis of neural networks via Halanay-type inequality:Journal of Computational and Applied Mathematics,2017,319:14–23
[13]Yanjun Shu, XingeLiu* , Yajuan Liu.Stability and passivity analysis for uncertain discrete-time neural networks with time-varying delay:Neurocomputing,2016,173(2016):1706–1714
[14]Xin-Ge Liu, Feng-Xian Wang, Yan-Jun Shu.A novel summation inequality for stability analysis of discrete-time neural networks:Journal of Computational and Applied Mathematics,2016,304:160–171
[15]Yanjun Shu,Xinge Liu*.Improved results onH∞ state estimation of static neural networks with interval time-varying delay:Journal of Inequalities and Applications,2016,2016(48):1-16
[16]Feng-Xian Wang, Xin-Ge Liu*, Mei-Lan Tang,Yan-Jun Shu.Stability analysis of discrete-time systems with variable delays via some new summation inequalities:Advances in Difference Equations,2016,2016(95):1-20
[17]Sai-Bing Qiu, Xin-Ge Liu*, Yan-Jun Shu.A study on state estimation for discrete-time recurrent neural networks with leakage delay and time-varying delay:Advances in Difference Equations,2016,234:1-18
[18]Xin-Ge Liu ,Mei-Lan Tang*, R.R. Martin,Xin_Bi Liu.Discrete-time BAM neural networks with variable delays:Physics Letters A,2007,367:322-330
[19]Xin-Ge Liu,M. Wu, R.R. Martin,M.L. Tang.Delay-dependent stability analysis for uncertain neutral systems with time-varying delays:Mathematics and Computers in Simulation,2007,75:15–27
[20]Xin-Ge Liu, Min Wu, Ralph Martin, Mei-Lan Tang.Stability analysis for neutral systems with mixed delays:Journal of Computational and Applied Mathematics,2007,202(2):478 – 497
[21]M.L. Tang , X.G. Liu*.New results on the periodic solutions for a kind of Ralyleigh equation:Application of Mathematics,2009,54(1):79-8
[22]X.G. Liu, R.R. Martin, M. Wu,M.L. Tang.Global exponential stability of bidirectional associative memory neural networks with time delays:IEEE Transactions on Neural Networks,2008,19(3):397-407.
[23]Saibing Qiu, Xinge Liu*, Yanjun Shu.New approach to state estimator for discrete-time BAM neural networks with time-varying delay:Advances in Difference Equations,2015,189:1-15
[24]X.G. Liu, M.L. Tang*,R.R. Martin.Periodic solutions for a kind of Lienard equation:Journal of Computational and Applied Mathematics,2008,219(1):263-27
[25]Xin-Ge Liu ,Mei-Lan Tang*.Existence of positive periodic solutions of higher-order functional difference equations:Applications of Mathematics,2014,59(1):25-36
[26]M.L. Tang , X.G. Liu*.Exponential stability for a kind of delayed neural networks with unbounded activation function:Journal of Mathematical Control Science and Applic,2008,2(1):155-170
[27]Xin-Ge Liu ,Mei-Lan Tang*.Lyapunov-type inequality for higher order difference equations:Applied Mathematics and Computation,2014,232(4):666–669
[28]M.L. Tang , X.G. Liu*.Existence of periodic solution on a class of discrete system:Journal of Mathematical Control Science and Applic,2008,2(1):137-144,
[29]Tang Meilan Liu Xinge*.Positive periodic solution of higher order functional difference equation:Advances in Difference Equations,2012,56(1):1-8
[30]Mei-Lan Tang, Xin-Ge Liu*.Positive periodic solution for ratio-dependent n-species discrete time system:Application of Mathematics,2011,56(6):577-589
[31]Mei-Lan Tang, Xin-Ge Liu*.Periodic solutions for a kind of Duffing type p-Laplacian equation:Nonlinear Analysis: Theory, Methods & Applications,2009,71(5-6):1870-1875
[32]X.G. Liu, R.R. Martin, M. Wu,M.L. Tang.Delay-dependent robust stabilisation of discrete-time systems with time-varying delay:IEE Proc.-Control Theory Appl,2006,153(6):689—702
[33]Xin-Ge Liu, Min Wu.Robust stability of discrete-time nonlinear system with time-delay:JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,2005:1:227-231
[34]Liu Xin Ge,Cai Hai Tao..Maximal elements and equilibrium of abstract economy:Applied Mathematics & Mechanics,2001,22(10):1225-1230