daizhancheng的个人博客分享 http://blog.sciencenet.cn/u/daizhancheng

博文

退休十年初心不已

已有 1999 次阅读 2021-5-17 09:40 |个人分类:杂感|系统分类:教学心得

 

退休十年初心不已

 

2011 4 月,我年满 65 岁,按时办理了退休手续, 将工作证换成退休证,从此开始了正式的退休生活。到如今,作为退休职工, 已届满十年。从我十年前到山东大学讲授“矩阵半张量积”课程开始, 在山大也工作了十年。虽然正式受聘是 2013 年,但 2010 10 月就入住了山大宿舍,与山大的合作就开始了。今年五月,我的聘期结束。在准备述职报告时,正好回顾了这十年的工作,遂有本文。

十年,是人生无法忽略的一个漫漫长程,而这十年对于我更是难以忘怀。在这十年中我实现了从“有争”到“无求”的转换。......

当痛苦被时间治愈, 我渐渐地想明白了一点:如果你觉得命运对你不公,不要流泪、不要抱怨,而是去证明自己。于是, 我很快回归了自我。古人云:“事能知足心常惬,人到无求品自高”。如今, 虽不敢说心惬品高,但享受退休后无拘无束、自由自在的生活;做自己喜欢的、不受名利驱使的事情;与世无争、再也不必去看那些权势者的白眼,自是乐在其中。

虽也曾追名逐利 但心中总有一个梦 那就是“矩阵半张量积”,那是我的Baby。如今不争无求它更成了我的唯一。这十年我在和生命赛跑依旧几乎每周七天地工作为了我的兴趣也为了我心中的梦想和追求。有个朋友问我为何这般地拼命我回答说上帝已经收回了我挥霍时间的权限”。

回顾退休后的十年据不完全统计 我发表的期刊论文共 79 其中 SCI论文 53包括控制界公认的两个顶级杂志

Automatica 5 其中长文 5 本人一作(含唯一作者) 4 篇;

IEEE Trans. Aut. Contr. 10 其中 长文 5 本人一作 5 篇;

出版学术专著8 其他著述3 (见附录一、二、三)

在数学院发表论文既得不到名也得不到利。对于退休者更是连年终总结也不需要山大更是给了我充分自由无任何强制性的要求。因此这些科研工作是纯粹兴趣驱动的。

这十年里我在数学院、 山东大学、 哈尔滨工业大学共指导了 14 位博士生 (其中 2人在读) 3位博士后 (其中 1人在读)

十年里我获得了多项国家自然科学基金的支持 包括:

  • 面上项目(主持):逻辑动态系统的控制与优化610741142011-01 – 2013-12

  • 面上项目(主持):矩阵半张量积理论及其在若干控制问题中的应用 612730132013-01-2016-12

  • 面上项目(主持):博弈控制论的矩阵半张量积方法 617733712018-01-2021-12

  • 面上项目(主持):变维数系统的建模、分析与控制 62073315 2021-01 – 2024-12

  • 重点项目(参加):高超声速目标拦截中的多飞行器协同制导控制理论与方法 613330012014-01 – 2018-12

  • 重点项目(参加):基于决策的复杂非线性系统控制 617330182018-01 – 2022-12.

我一如既往, 从不打听评审人, 更不打招呼。衷心地感谢项目的评审专家, 感谢他们的公正无私的信任和支持。

矩阵半张量积理论及应用是我这十年唯一的研究目标。 我这十年的主要工作包括:(1) 提出更一般的矩阵半张量积, 包括矩阵与矩阵, 矩阵与向量的半张量积, 并研究了它们的性质与应用; (2) 探讨了逻辑系统及其控制的一些新问题, 如输出调节、镇定、不变子空间等, 加深了对逻辑系统的理解;(3) 研究了有限博弈基于矩阵半张量积的建模与优化控制等问题,包括势博弈方程的导出,有限博弈的向量空间结构及正交分解,基于资源分配的博弈优化方法,博弈学习理论等;(4) 泛维数系统的动力学研究,包括在不同维数向量之间建立内积、 范数、 距离, 从而导致跨维数的粘接拓扑, 从半群系统出发建立一套关于跨维数动力学系统理论等;(5) 讨论矩阵半张量积在近代数学中的应用, 包括泛布尔代数的讨论, 实数的代数扩张与交换超复数的一般结构, 半张量积的格结构及其导致的等价性, 等价导致的离散纤维丛结构等。

 

这些工作得到学术界和同行们的认可。十年中我得到一些奖励,例如:

  • 国家自然科学二等奖 2014 (排名第一,与齐洪胜);

  • 科学院个人杰出科技成就奖(个人), 2015

  • 山东省自然科学二等奖, 2015(与冯俊娥、王玉振);

  • 山东省自然科学二等奖, 2018 (与李海涛);

  • 中国自动化学会成立五十周年优秀工作者称号, 2011

  • 2013年度中国科学院优秀导师奖, 2013

  • 《控制理论与应用》创刊 30 周年最具影响力论文奖 2014

  • TCCT陈翰馥奖, 2016

  • TCCT 杰出贡献奖, 2017

  • 16th IEEE Int.Conf. Contr. Aut. (ICCA 2020) Best Paper Award, 2020

  • Science China Inform. Sci. 2019 SCIS Five-Year High-Impact Paper Award, 2020.

矩阵半张量积理论在这十年中有很大发展,它被应用于多个不同的领域,例如:(1) 逻辑动态系统的分析与控制 (2) 有限演化博弈的建模与优化; (3) 模糊系统控制; (4) 图论与队形控制; (5) 有限自动机建模与分析; (6) 密码学与编码理论等。 它还得到一些直接的工程应用,例如:(i) 电力系统控制;(ii) 混合动力机车的优化与控制等。

目前, 据不完全统计, 大陆有超过40个高校或科研机构有团队或个人参与以矩阵半张量积为基本工具的科研, 包括: 清华大学、 北京大学、山东大学、大连理工大学、中国海洋大学、 哈尔滨工业大学、 南开大学、 中南大学、东南大学、北京理工大学、同济大学、华南理工大学、西北工业大学、北京邮电大学、山东师范大学、浙江师范大学、南京师范大学、聊城大学、香港大学、等。

以矩阵半张量积为工具进行科研的许多作者也来自其他国家包括:意大利、 以色列、 日本、 美国、 英国、 德国、澳大利亚、俄国、 瑞典、 南非、 新加坡、 匈牙利、印度、 伊朗、沙特阿拉伯、 等。

矩阵半张量积正得到越来越多的国际认可:

  • 在日本学者最近出版的“T. Akusu, Algorithms for Analysis, Inference, and Cotrol of Boolean Networks, World Scientific, Singapore, 2018”一本书中,用一章 (Chapter 9: Semi-Tensor Product Approach) 介绍矩阵半张量积,该书在前言中指出:“本书简单介绍了由程代展及其同事提出和发展起来的矩阵半张量积方法,因为目前的许多研究是基于这种方法的。”(This book gives a brief introduction to the semi-tensor product approach that was proposed and developed by Daizhan Cheng and his colleagues, because many studies have recently been done based on this approach.)

  • 罗马尼亚学者在即将出版的“S.E. Vlad, Boolean Systems: Topics in Asynchronicity, Elsevier, London (to be published) 一书中用一个附录介绍矩阵半张量积 (Appendix 2: Semi-Tensor Product)并在前言中提到:“附录 2 简单介绍程代展的重要理论”。(“The second one sketches the important theory of Daizhan Cheng.)

在谈到矩阵半张量积理论的近期发展时,有两件事值得一提: 一是在山东聊城大学成立的《矩阵半张量积理论与应用研究中心》, 中心成立于 2018 年,这里有一批年轻人在刻苦学习和研究矩阵半张量积理论。中心还接待过许多从事这方面研究的青年学者。去年暑期办过一期矩阵半张量积研修班,讨论矩阵半张量积在逻辑系统分析与控制中的应用。因为疫情,第二期研修班推迟到今年七月,将讨论矩阵半张量积在有限博弈的建模与优化中的应用。

 

 




 


中心揭牌仪式DSC_9919矩阵半张量积理论与应用研究中心

 STP第一期研修班合影


二是自动化学会控制理论专业委员会逻辑系统控制学组的成立。学组于 2019 年初获批,它集合了一批对矩阵半张量积有兴趣的学者, 曾先后在浙江师范大学和大连理工大学召开过两次成功的学组会。

 

第一届TCCT逻辑系统控制专题大会合影

第二届TCCT逻辑系统控制专题大会合影

学组成员还自行组织了多次小型研讨会,并在多个国内外期刊上组织过相关专辑,学组内的学术气氛十分浓厚。

如果说,矩阵半张量积理论今天已经有了长足的进步,那么,这应该归功于国内外从事相关研究的学者们,特别应该感谢在这个领域耕耘开拓、努力创新的一大批国内优秀的青年学者,他们是矩阵半张量积理论与应用发展的主力,更是这一学科方向未来发展的希望所在。

对于我个人,我是 “咬定STP不放松,立根原在破岩中,千磨万击还坚劲,任尔东西南北风。”前几天看到一篇报导:2021 年美国科学院新科女院士中有一位 94 岁的女数学家,琼·伯曼 (Joan Birman),是哥伦比亚大学教授,她 41 岁获得博士学位,80 岁以后还发表了十几篇论文,其中最新的一篇发表于 91 岁高龄。 我对自己说:“彼,人也,予,人也,彼能是而我乃不能是?” 曹孟德曾曰:“老骥伏枥,志在千里; 烈士暮年,壮心不已”。 我虽然无斗胆以此自诩,但也希望“老牛耕耘,志在足下;书生暮年,初心不已。”

谨以此文献给我拼博在矩阵半张量积科研第一线的青年朋友们!

 

 

 

 

 

 

附录一  专业书籍(2011-)

[1] 程代展, 齐洪胜, 《矩阵的半张量积 - 理论与应用》第二版, 科学出版社, 北京,  2011.

[2] 程代展, 赵寅, 《系统与控制中的近代数学基础》第二版, 清华大学出版社, 北京,  2012.

[3] D. Cheng, H. Qi, Z. Li, Analysis and Control of Boolean Networks - A Semi-tensor Product Approach, Springer, London, 2011.

[4] D. Cheng, H. Qi, Y. Zhao, An Introduction to Semi-tensor Product of Matrices and Its Applications, World Scientific, Singapore, 2012.

[5] 程代展, 夏元清, 马宏宾, 闫莉萍, 《矩阵代数、 控制与博弈》, 北京理工大学出版社, 北京,  (第一版) 2014,  (第二版) 2016.

[6] 程代展, 齐洪胜贺风华, 《有限集上的映射与动态过程 - 矩阵的半张量积方法》, 科学出版社, 北京, 2016.

[7] D. Cheng, From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems, Elsevier, London, 2019.

[8] 程代展, 齐洪胜, 《矩阵半张量积讲义(卷一), 基本理论与多线性运算》, 科学出版社, 北京,  2020.

附录二  其他书籍(2011-)

[1] 程代展、方海涛、齐洪胜, 《陈翰馥传》, 科学出版社, 北京, 2020.

[2] 程代展, 《我在故我思》, 亚美导报出版社, 美国, 2021.

[3] 程代展, 《风雨夜行人》, 世界科学出版社, 新加坡,  2019.

附录三  期刊论文(2011-)

[1] D. Cheng, H. Qi, Z. Li, J. Liu, Stability and stabilization of Boolean networks, Int. J. Robust and Nonlinear Control, vol. 21, no. 2, pp. 134-156, 2011. (SCI)

[2] D. Cheng, Disturbance decoupling of Boolean control networks,  IEEE Trans. Aut. Contr., vol. 56, no. 1, pp. 2-10, 2011. (SCI)

[3] Y. Zhao, Z. Li, D. Cheng, Optimal control of logical control networks,  IEEE Trans. Aut. Contr., vol. 56, no. 8, pp. 1766-1776, 2011. (SCI)

[4] D. Cheng, H. Qi, Z. Li, Model construction of Boolean network via observed data, IEEE Trans. Neural Networks, vol. 22, no. 4, pp. 525-536, 2011. (SCI)

[5] Y. Qiao, Y. Yuan, D. Cheng, Finite fliess functional expansion and its application to flight control of missiles, Int. J. Robot. Aut., vol. 26, no. 2, pp. 173-181, 2011. (SCI)

[6] D. Cheng, Y. Zhao, Identification of Boolean control networks,  Automatica, vol. 47, no. 4, pp. 702-710, 2011. (SCI)

[7] X. Zhang, D. Cheng, Robust output regulation of a class of non-minimum phase nonlinear systems, J. Sys. Sci. & Math. Scis., vol. 31, no. 9, pp. 1082-1091, 2011. (in Chinese)

[8] D. Cheng, Y. Zhao, X. Xu, From Boolean algebra to Boolean calculus,  J. Control Theory & Appl., vol. 28, no. 10, pp. 1513-1523, 2011. (in Chinese)

[9] D. Cheng, Y. Zhao, X. Xu, Mix-valued logic and its applications, J. Shandong Univ. (Natural Science), vol. 46, no. 10, pp. 32-44, 2011. (in Chinese)

[10] Z. Li, Y. Zhao, D. Cheng, Structure of higher order Boolean networks, J. Graduate Univ. CAS, vol. 28, no. 4, pp. 431-447, 2011. (SCI)

[11] D. Cheng, H. Qi, Y. Zhao, Analysis and control of Boolean networks: A semi-tensor product approach, ACTA Automatica Sinica, vol.37, no. 5, pp.  529-540, 2011. (in Chinese)

[12] D. Cheng, H. Qi, Y. Zhao, Semi-tensor product of matrices-A convenient new tool, Chinese Science Bulletin, vol. 56, no. 32, pp. 2664-2674, 2011. (in Chinese)

[13] D. Cheng, H. Qi, Y. Zhao, Analysis and control of general logical networks - An algebraic approach, Annual Reviews in Control, vol. 36, no.1, pp. 11-25, 2012. (SCI)

[14] D. Cheng, J. Feng, H. Lv, Solving fuzzy relational equations via semi-tensor product, IEEE Trans. Fuzzy Systems, vol. 20, no. 2, pp.  390-396, 2012. (SCI)

[15] D. Cheng, Y. Zhao, A restricted survey on control theory, Bulletin of CAS, vol. 27, no. 1, pp. 167-174, 2012.

[16] D. Cheng, Y. Zhao, T. Xu, Dynamic games and optimal control of logical dynamic systems, Systems Science and Math, vol. 32, no. 10, pp. 1226-1238, 2012. (SCI)

[17] Y. Zhao, X. Gao, D. Cheng, Some applications of the matrix expression of Boolean function via semi-tensor product, J. Graduate Univ. of CAS, vol. 29, no.6, pp. 743-749, 2012. (SCI)

[18] D. Cheng, X. Xu, Bi-decomposition of multi-valued logical functions and its applications, Automatica, vol. 49, no. 7, pp. 1979-1985, 2013. (SCI)

[19] J. Feng, H. Lv, D. Cheng, Multiple fuzzy relation and its application to coupled fuzzy control, Asian J. Contr., vol 15, no. 5, pp. 1313-1324, 2013. (SCI)

[20] Y. Zhao, D. Cheng, On controllability and stabilizability of probabilistic Boolean control networks, Sci. China Inform. Sci., vol. 57, no. 1, pp. 1-14, 2014.(SCI)

[21] D.Cheng, T. Xu, H. Qi, Evolutionarily stable strategy of networked evolutionary games, IEEE Trans. Neur. Netw. Learn. Syst. , vol. 25, no. 7, pp. 1335-1345, 2014. (SCI)

[22] D.Cheng, On finite potential games, Automatica, vol. 50, no. 7, pp. 1793-1801, 2014.(SCI)

[23] D. Cheng, H. Qi, F. He, T. Xu, H. Dong, Semi-tensor product approach to networked evolutionary games, Control Theory Tech., vol. 12, no. 2, pp. 198-214, 2014.

[24] D. Cheng, T. Xu, F. He, H. Qi, On dynamics and Nash equilibriums of networked games, IEEE/CAA J. Automatica Sinica, vol. 1, no. 1, pp. 10-18, 2014.(SCI)

[25] H. Li, Y. Wang, L.Xie, D. Cheng, Disturbance decoupling control design for switched Boolean control networks, Sys. Contr. Lett., vol. 72, pp. 1-6, 2014. (SCI)

[26] D. Cheng, F. He, H. Qi, T. Xu, Modeling, Analysis and Control of Networked Evolutionary Games, IEEE Trans. Aut. Contr., vol. 60, no. 9,  pp. 2402-2415, 2015. (SCI)

[27] D. Cheng, Y. Zhao, T. Xu, Receding horizon based feedback optimization for mix-valued logical networks, IEEE Trans. Aut. Contr., vol. 60, no. 12, pp. 3362-3366, 2015. (SCI)

[28] D. Cheng, T. Liu, A survey on cross-discipline of control and game, Control Theory Tech., vol. 13, no. 4, pp. 287-296, 2015.

[29] D. Cheng, H. Qi, T. Liu, Y. Wang, A note on observability of Boolean control networks, Sys. Contr. Lett. , vol. 87, pp.76-82, 2016.(SCI)

[30] Y. Wang, D. Cheng, Stability and stabilization of a class of finite evolutionary games, J. Franklin Institute, vol. 354, no. 3, pp. 1603-1617, 2017. (SCI)

[31] 程代展, 齐洪胜, 刘挺, 王元华, 从矩阵半张量积到逻辑控制系统, 中国科学(数学), vol. 46, no. 10, pp. 1401-1424, 2016.

[32] Y. Wang, D. Cheng, Dynamics and stability for a class of evolutionary games with time delays in strategies, Sci China Inf. Sci., vol. 59, no. 9, 092209, 2016. (SCI)

[33] H. Qi , Y. Wang, T. Liu, D. Cheng, Vector space structure of finite evolutionary games and its application to strategy profile convergence. J. Systems Science and Complexity, vol. 29, no. 3, pp. 602-28, 2016. (SCI)

[34] D. Cheng, T. Liu, A Survey on Logical Control Systems, Unmanned Systems, vol. 4, no. 1, pp. 97-116, 2016. (SCI)

[35] 王元华, 刘挺, 程代展, 矩阵半张量积及换位矩阵的几点注解. 《系统科学与数学》, vol, 36, no. 9, pp. 1367-75, 2016.

[36] D. Cheng, T. Liu, K. Zhang, On decomposed subspaces of finite games, IEEE Trans. Aut. Contr., vol. 61, no. 11, pp. 3651-3656, 2016. (SCI)

[37] Y. Zhao, B. Ghosh, D. Cheng, Control of large-scale Boolean networks via network aggregation, IEEE Trans. Neur. Netw. Learn. Syst., vol. 27, no. 7, pp. 1527-1536, 2016. (SCI)

[38] D. Cheng, T. Liu, Linear representation of symmetric games, IET control theory and appl., vol. 11, no. 18, pp. 3278-3287, 2017. (SCI)

[39] Y. Wang, T. Liu, D. Cheng, From weighted potential game to weighted harmonic game, IET control theory and appl., vol. 11, no. 13, pp. 2161-2169, 2017.(SCI)

[40] Y. Wang, D. Cheng, Stability and stabilization of a class of finite evolutionary games, J. Franklin Inst., vol. 354, no. 3, pp. 1603-1617, 2017. (SCI)

[41] T. Liu, Y. Wang, D. Cheng, Dynamics and stability of potential hyper-networked evolutionary games, Int. J. Aut. Comput., vol. 14, no.2, pp. 229-238, 2017.(SCI)

[42] S. Fu, Y. Wang, D. Cheng, J. Liu, Morgan's problem of Boolean control networks, Control Theory Tech., vol. 15, no. 4, pp. 316-326, 2017. (EI)

[43] D. Cheng, C. Li, F. He, Observability of Boolean networks via set controllability approach, Sys. Contr. Lett., vol. 115, pp. 22-25, 2018. (SCI)

[44] D. Cheng, S. Fu, A survey on game theoretical control, Contr. Theory Appl., vol. 35, no. 5, pp. 288-292, 2018. (in Chinese)

[45] Y. Qiao, H. Qi, D. Cheng, Partition-based solutions of static logical networks with applications, IEEE Trans. Neur. Netw. Learn. Syst., vol. 29, no. 4, pp. 1252-1262, 2018. (SCI)

[46] X. Zhang, Y. Hao, D. Cheng, Incomplete-profile potential games, J. Franklin Inst., vol. 355, pp. 862-877, 2018. (SCI)

[47] Y. Hao, S. Pan, Y. Qiao, D. Cheng, Cooperative control via congestion game approach, IEEE Trans. Aut. Contr., vol. 63, no. 12, pp. 4361-4366, 2018. (SCI)

[48] D. Cheng, C. Li, X. Zhang, F. He, Controllability of Boolean networks via mixed controls, IEEE Contr. Sys. Lett., vol. 2, no. 2, pp. 254-259, 2018. (SCI)

[49] Y. Hao, D. Cheng, On skew-symmetric games, J. Franklin Inst., vol. 355, pp. 3196-3220, 2018. (SCI)

[50] D. Cheng, H. Qi, Z. Liu, From STP to game-based control, Sci. China Inform. Sci., vol. 61, no.1, 1-19, 2018. (SCI)

[51] K. Zhang, T. Liu, D. Cheng, Observability of finite labeled transition systems, IEEE Trans. Aut. Contr., vol. 63, no. 6, pp. 1591-1602, 2018. (SCI)

[52] X. Zhang, Y. Wang, D. Cheng, Incomplete logical control system and its application to some intellectual problems, Asian J. Contr., vol. 20, no. 2, pp. 697-706, 2018. (SCI)

[53] D. Cheng, T. Liu, From Boolean game to potential game, Automatica, vol. 96, pp. 51-60, 2018. (SCI)

[54] D. Cheng, On equivalence of matrices, Asian J. Math., vol. 23, no. 2, pp. 257-348, 2019. (SCI)

[55] Y. Wang, D. Cheng, X. Liu, Matrix expression of Shapley values and its application to distributed resource allocation, Sci. China Inform. Sci., vol. 62, pp. 022201:1-022201:11, 1019. (SCI)

[56] D. Cheng, Z. Liu, A new semi-tensor product of matrices, Contr. Theory Tech., vol. 17, no. 1, pp. 14-22, 2019.(SCI)

[57] T. Liu, J. Wang, X. Zhang, D. Cheng, Game theoretic control of multi-agent systems, SIAM J. Contr. Opt., vol. 37, no. 3, pp. 1691-1709, 2019. (SCI)

[58] C. Li, F. He, T. Liu, D. Cheng, Verification and dynamics of group-based potential games, IEEE Trans. Contr. Net. Sys., vol. 6, no. 1, pp. 215-224, 2019. (SCI)

[59] C. Li, F. He , T. Liu, D. Cheng, Symmetry-based decomposition of finite games. Sci. China Inform. Sci., vol. 62, no. 1, pp. 164-176, 2019. (SCI)

[60] D. Cheng, Z. Liu, Topologies on quotient space of matrices via semi-tensor produce, Asian J. Contr., vol. 21, no. 6, pp. 2614-2623, 2019.(SCI)

[61] Y. Hao, D. Cheng, Finite element approach to continuous potential games, Sci. China Inform. Sci., vol. 64, no. 4, pp. 149202:1-149202:3, 2021.(SCI)

[62] X. Zhang, D. Cheng, Profile-dynamic based fictitious play, Science China Inform. Sci., vol. 64, no. 6, pp. 169202:1-169202:3, 2021.(SCI)

[63] Y. Yu, J. Feng, J. Pan, D. Cheng, Block decoupling of Boolean control networks, IEEE Trans. Aut. Contr., vol. 64, no. 8, pp. 3129-3140, 2019. (SCI)

[64] 程代展, 刘泽群, 有限博弈的矩阵半张量积方法, 《控制理论与应用》, vol. 36, no. 11, pp. 1812-1824, 2019.

[65] X. Zhang, M. Meng, Y. Wang, D. Cheng, Criteria for observability and reconstructibility of Boolean control networks via set controllability, IEEE Trans. Circuits Systems II: Express Briefs, vol. 68, no. 4, pp. 1263-1267, 2021. (SCI)

[66] D. Cheng, Z. Liu, H. Qi, Completeness and normal form of multi-valued logical functions, J. Franklin Inst. vol. 357, no. 14, pp. 9871-9884, 2020.(SCI)

[67] X. Zhang, D. Cheng, Stability and stabilization of networked pairing problem via event-triggered control, Int.J.Contr., DOI: 10.1080/0020 7179.2020.1805126, 2020. (SCI)

[68] D. Cheng, Z. Liu, Optimization via game theoretic control, National Science Review, vol. 7, no. 7, pp. 1120-1122, 2020. (SCI)

[69] D. Cheng, Z. Xu, T. Shen, Equivalence-based model of dimension -varying linear systems, IEEE Trans. Aut. Contr., vol. 65, no. 12, pp. 5444-5449, 2020. (SCI)

[70] C. Li, Y. Xing, F. He, D. Cheng, A strategic learning algorithm for state-based games, Automatica, vol. 113, 108615, 2020. (SCI)

[71] Z. Liu, D. Cheng, J. Liu, Pinning control of Boolean networks via injection mode, IEEE Trans. Control Netw. Syst., DOI: 10.1109/TCNS. 2020.3037455, 2020. (SCI)

[72] Y. Wang, D. Cheng, On coset weighted potential game, J. Franklin Inst., vol. 357, no. 9, pp. 5523-5540, 2020. (SCI)

[73] Z. Xu, T. Shen, D. Cheng, Model-free reinforcement learning by embedding an auxiliary system for optimal control of nonlinear systems, IEEE Trans. Neur. Netw. Learn. Syst., DOI: /10.1109/TNNLS.2020. 3042589, 2020. (SCI)

[74] X. Zhang, Y. Wang, D. Cheng, Output tracking of Boolean control networks, IEEE Trans. Aut. Contr., vol. 65, no. 6, pp. 2730-2735, 2020. (SCI)

[75] Y. Hao, D. Cheng, Finite element approach to continuous potential games. Sci. China Inf. Sci., vol. 64, 149202, 2021. (SCI)

[76] S. Fu, D. Cheng, J. Feng, J. Zhao, Matrix expression of finite Boolean-type algebras, Appl. Math. Comput., vol. 395, 125880, 2021. (SCI)

[77] D. Cheng, Y. Li, J. Feng, J. Zhao, On numerical/non-numerical algebra: Semi-tensor product method, Math. Model. Contr., vol. 1, no. 1, pp. 1-11, 2021. (SCI)

[78] Y. Jia, D. Cheng, J, Feng, State feedback stabilization of generic logic systems via Ledley antecedence solution, Math. Methods in Appl. Sci., (accepted).

 

 

 

 



http://wap.sciencenet.cn/blog-660333-1286903.html

上一篇:自传出版周年记

11 尤明庆 王林平 梅志平 曹科才 高义 柳渝 冯圣中 杨正瓴 李东风 莫红 周士贵

该博文允许注册用户评论 请点击登录 评论 (3 个评论)

数据加载中...
扫一扫,分享此博文

Archiver|手机版|科学网 ( 京ICP备07017567号-12 )

GMT+8, 2021-9-28 04:40

Powered by ScienceNet.cn

Copyright © 2007- 中国科学报社

返回顶部