山东大学控制科学与工程学院导师介绍：刘树堂

2国际混沌和复杂网络中心委员会委员 (Centre for Chaos and Complex Networks)

3美国数学评论（Americal Mathematical Reviews）评论员

4美国数学会(Americal Mathematical Society) 会员

5国际WSEAS自动控制学术委员会委员

6国际杂志 《Complex Systems》, 《Tran. of the American Mathematical Society》 《IEEE Trans. On Circuits and Systems I》,《IEEE TAC》,《Automatica》和国内刊物《中国科学》、《科学通报》，《自动化学报》的审稿人。

2． 1995, 1—1996, 3，中国海洋大学访问学者。

3． 1999，9—2000，2，华南理工大学系统工程研究所攻读博士学位。

4． 2000，10—2002，6，在香港城市大学国际著名混沌控制理论专家陈关荣（Guanrong Chen, 美国休斯敦大学终身职教授，香港城市大学讲座教授）博士的混沌和复杂网络中心 (Centre for Chaos and Complex Networks) 攻读博士学位，接受联合培养并学术合作研究。

5． 2002，7— 山东大学控制科学与工程学院工作（Full Professor）。

6． 2003，11—中国科学院系统科学研究院作陈翰馥院士的博士后。（主要从事于2-D 系统的随机逼近和最优化控制）

专 利 及 获 奖 情 况

2论文 " The Mathematical Model and Its Chaos of the Thinking of A Programme Design in Solving A Problem" 在国际会议 "高新技术改造传统产业国际研讨会" 上被评为优秀论文一等奖.

3全国第一届秦元勛微分方程系统稳定性奖 ( 等同于 控制科学学科 设置的 学科奖， 关肇直奖 ).

4山东省高等学校优秀科研成果一等奖.

近年来完成的研究项目

1主持1998—2001年山东省自然科学基金资助项目“泛函差分方程的定性理论及其应用的研究 (No. Y98A02005)。

2参于2000-2003国家自然科学重点基金资助项目” 大时滞系统理论和应用”的研究任务 (No. 69934030)。

3承担并完成1997—2000国家自然科学基金资助项目” 差分方程的定性理论和应用”的研究 (No. 1977105 1)。

目前承担的研究项目

2主持 国家自然科学基金资助项目(No.60472112)，空间混沌分岔控制与应用

3主持 国家自然科学基金资助项目(No.60372028), “空间离散动力系统混沌分岔控制与同步”。

4主持 教育部回国留学人员科研启动项目,“2-D离散动力系统混沌控制与同步”。

5 主持 山东大学特别研究津贴项目, “空间混沌控制与应用”。

6主持 中国博士后研究基金项目, “空间混沌的分岔控制与应用”。

7 主持 中国博士后香港 王宽城 研究基金项目。

在国内外学术刊物发表专业学术论文70多篇，其中在国际刊物发表40多篇. 并有23篇被 SCI 收录， 有多篇文章被他人SCI引文索引113次。

主要论文有：

1. Shu Tang Liu and Guanrong Chen, Asymptotic Behavior of Delay 2-D Discrete Logistic Systems, IEEE Trans. On Circuits

and Systems I: Fundamental Theory and Applications,Vol. 49, No.11, November, 2002, 1677-1682.

2. Shu Tang Liu and Guanrong Chen, On Spatial Lyapunov Exponents and Spatial Chaos,International Journal of

Bifurcation and Chaos in Applied Sciences and Engineering, Vol.15,No.5,2003,1163-1181

3. Shu Tang Liu and Shitao Wu, Uniformity of Spatial Physical Motion Systems and Spatial Chaos Behavior in the Sense

of Li-Yorke, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 16,

No. 9 (2006) 2697–2703

4. Shu Tang Liu and Guanrong Chen, Nonlinear feedback-controlled generalized synchronization of spatial chaos, Chaos,

Solitons and Fractals,Vol.22, No.4, 2004,35-46.

5. Guanrong Chen, Shu Tang Liu, Linearization, Stability and Oscillation of the Discrete Delay Logistic System , IEEE

Trans. On Circuits and Systems I: Fundamental Theory and Applications. Vol. 50, No.6, November, 2003, 1822-1862.

6. Guanrong Chen and Shu Tang Liu, On Spatial Periodic Orbits and Spatial Chaos, International Journal of Bifurcation

and Chaos in Applied Sciences and Enginering, Vol.15, No 4, 2003, 867-876

7.Guanrong Chen, Shu Tang Liu, On Generalized Synchronization of patial, Chaos, Solitons and Fractals,Vol.15,

No.2,2003,311-318.

8. Shu Tang Liu, Nuclear Fission and spatial chaos, Chaos, Solitons and Fractals 30 (2006) 453–462

9. Shu Tang Liu, Shitao Wu, Spacial chaos behavior of molecular orbit, Chaos, Solitons and Fractals 31 (2007)

1181–1186.

10．Shu Tang Liu, B.G.Zhang, Oscillatory Behavior of Delay Partial Difference Equations with Positive and Negative

Coefficients, Computers Math. Applic.,43(2002), 915-964.

11. Shou Gang Sui , Shu Tang Liu, Control of Julia sets, Chaos, Solitons and Fractals 26 (2005) 1135–1147

12. Shu Tang Liu, Yong Qing Liu, Oscillation for Nonlinear Partial Difference Equation with Positive and Negative Coefficients, Computers Math. Applic., 43(2002), 1219 -1230.

13. Shu Tang Liu, Ping Jin, Oscillatory Behavior of Delay Partial Difference Equations, Periodica Mathematica Hungarica. Vol. 47 (1-2),2003, pp.151,-167.

14. Shu Tang Liu, Oscillation Theorems for Second-order Nonlinear Partial Difference Equations, Journal of Computational and Applied Mathematics, 132(2001),479 -482.

15.Shu Tang Liu, Yong Qing Liu, Oscillations of Two-Dimensional Nonlinear Partial Difference Systems, Computers Math. Applic., Vol.47. N0. 4/5,(2004), 621-629.

16. Shu Tang Liu,Dong You Han , Asymptotic Behavior and Oscillations forNonlinear Delay Partial Difference Equations with Variable Coefficients , Southeast Asian Bulletin of Mathematics, (2005) 29, 1069-1086

17. Shu Tang Liu, Guanrong, Oscillations of Nonlinear Partial Difference Systems,Journal of Mathematical Analysis and Applications, 277(2003), 689-700.

18. S. T. Liu, X.P.Guan, J.Yang, Nonexistence of Positive Solution of A Class of Nonlinear Delay Partial Difference Equation, Journal of Mathematical Analysis and Applications,34(1999),361-371.

19. B.G.Zhang, Shu Tang Liu, Necessary and Sufficient Conditions for Oscillation of Partial Difference Equations, Dynamics of Continuous Discrete and Impuleive Systems, 1997,Vol.3 No.1,89-96.

20.X.P.Guan,J.YangS. T. Liu, Nonexistence of Positive Solution of a Class of Nonlinear Difference Equation, Applied Mathematics and Computation, 119 (20 01),187-195.

21. S. T. Liu, Qing Yong Liu, Xin Ping Guan.Jun Yang, Existence of Monotone Positive Solution of Neutral Partial Difference Equation,Journal of Mathematical Analysis and Applications,247, 384-396(2000).

22. B.G.Zhang, S.T. Liu, On the Oscillation of Partial Difference Equations, Journal of Mathematical Analysis and Applications , 1997, Vol, 206, 480-492.

23. B.G.Zhang, Shu Tang Liu, Oscillations of Partial with Variable CoefficientsComputers Math. Applic., Vol.36. N0. 10-12,(1998), 235-242.

24. S .S.Cheng, G. Zhang, S. T. Liu, Stability of Oscillatory Solutions of Difference Equation with Delays, Chinese Journal of Mathematics, Vol. No.4,2000, 503-516

25.Shu Tang Liu,etc., Oscillations of Second-Order Nonlinear Partial Difference Equations，Rocky Mountain J. of Math., Volume 34, Number 2, Summer 2004, 699-711.

26. Y. D. Zhang andS. T. Liu, Construction of Periodic Orbits and Chaos, Systems Enginering and Electronics Teachnology,Vol. 13, No.1,2002, 67-72.

27. Shu Tang Liu, Zhongyue Han, Oscillation of Delay Partial Difference Equations with Positive and Negative Coefficients, Southeast Asian Bulletin of Mathematics, 27(1)(2003),811-824.

28. Shu Tang Liu and Guanrong Chen, Linearization and Stability of Generalized One-Dimensional Delay Discrete Logistic,Control Theory and Application.2002, Vol.19, No.3, 419-422.

29. Shu Tang Liu,etc., Necessary and Sufficient Conditions forOscillation of Hyperbolic and Elliptic Type Delay Partial Difference Equations,Ann. of Diff. Eqs.,17:1(2001),42-51.

30. X. P. Guan, J.Yang S. T. Liu, Oscillatory Behavior of High Nonlinear Neutral Difference Equation, Hokkaido Mathematical Journal. Vol. XXVIII No.2,2000,394 -343.

31. S. T. Liu, S. S. Cheng, Asymptotic Stability of Analytic Difference Equati- ons,Part A: Physical Science and Engineering, 24(5), 2000, 390-393.

32. S.S.Cheng, S. T. Liu, Zhang Guang, A Multivariate Oscillation Theorem. Fasciculi Mathematicai Nr.30,1999,15-22.

33. S. T. Liu, Qing Yong Liu, Zhang Yong Dong, Asymptotic Behavior for a Class of Delay 2-D Discretemic System. Proceedings of the Iternational Conference on Differential Equations and Commputational Simulations,206–209,1999.

34. Shu Tang Liu,etc., AsymptoticBehavior and Oscillation of Delay Partial Difference Equations with Positive and Negative Coefficients，Rocky Mountain J. of Math., Volume 33, Number 3, Fall, 2003 953-970.

35. S.T. Liu, B.G.Zhang. Oscillation of A Class of Partial Difference Equations. Pan American Mathematical Journal,8(1998), No.1.93-100.

36. S.T.Liu and Hui Wang. Necessary and Sufficient Conditions for Oscillations ofA Class of Delay Partial Difference Equations, Dynamical Systems and Applications, 7(1998) 495-500.

37. Shu Tang Liu, Oscillations of Nonlinear Delay Partial Difference Equations withPositive and Negative Coefficients ,Southeast Asian Bulletin of Mathematics,(2005),29: 1069-1086.

38. Shu Tang Liu,etc., Necessary and Sufficient Conditions for Oscillation of Hyperbolic and Elliptic Type Delay Partial Difference Equations, Ann. of Diff. Eqs.，17:1 (2001),42-51.

39. S.T. Liu, S.S.Cheng,Existence of Positive Solutions for a Partial Difference Equation. Far East Journal Mathematical science,5(3), 1997,381-392.

40. S.T. Liu,S.S.Cheng, Nonexistence of Positive Solutions of A Nonlinear PartialDifference Equation,Tamkang Journal of Mathematics,1997,Vol.28 No.51-58.

41. S.T. Liu, S.S.Cheng.Oscillation Criteria for Nnonlinear Difference Equation,Far East Journal Mathematical Science, 5(4), 1997, 657-672.

42. B.G.Zhang, S. T. Liu, S.S.Cheng, Oscillation of a Class of Delay Partial Difference Equation, Journal of Difference Equation and it's Application,1(1995), 215-226.

43. S.T. Liu, S.S.Cheng,Comparison Theorems for A Nonlinear Three term Equatiion Tamkingg Journal of Math ematics, 1997，Vol,28. 4. 31 3-319.

44. B.G.Zhang, S.T. Liu,Oscillation of Pertial Difference Equations, Pan Americal Mathematical Journal, 1995, Vol,7. 60-71.

45. S.S.Cheng S. T. Liu, Zhang Guang, A Multivariate Oscillation Theorem. Fasciculi Mathematicai, Nr. 30, 1999, 15-22.

46. S.S.Cheng, S.T. Liu, B.G.Zhang,Positive Flows of Infinite Network, Communications in Applied Analysis, Vol. 1.No.1, 1997, 83-90.

47. Shaozhu Cheng and S.T. Liu, Exponential Growth and Oscillation of NonlinearHomogeneous Difference Equ. Ann. of Diff. Eqs. 1997, Vol.4,327-337.

48. B. G. Zhang,S. T. Liu, Necessary andSufficient Conditions for Oscillations of Linear Delay Partial Difference Equation. Discrete Dynamics in Nature and Socicity, 1997,Vol. pp.256-268.

49. B. G. Zhang,S. T. Liu, Necessary and Sufficient Conditions for Oscillations of Partial Difference Equations. Nonlinear studies ,Vol.3 , No.2, 1996.187-192.

50. Y. D. Zhang and S. T. Liu,Construction of Periodic Orbits and Chaos, Systems Enginering and Electronics Teachnology,2004, (To appear)

51. B. G. Zhang, S. T. Liu, Sui Sun Cheng, Oscillation of A Class of Delay Partial Difference Equation,Journal of Difference Equation andit's Applications, 1995, Vol.1, 215 -226.

52. S.T. Liu, S. S. Cheng, Asymptotic Stability of analytic Difference Equations,Part A: Physical Science and Engineering, 24 (5), 2000, 390-393.

53. G. Zhang, S.T. Liu, Necessary and Sufficient Conditions for Oscillations of DelayPartial Difference Equations, Discussiones Mathematical Differential Indusious, 15(1995),213-219.

54. Zhang B. G. and S. T. Liu, Necessary and Sufficient Conditions for Oscillaton of Hyperbolic Type Partial Difference Equations, “On Advances in Difference Equation ” Gordon and Breach Science Publishers, 1997, 649-656.

55. 刘树堂, 张炳根, 数学进展, 2003, Vol.32, No.4, 386-397。

主 讲 研 究 生 课 程

《非线性控制理论》，《微分方程稳定性理论》，《矩阵论与应用》，《最优化》，《应用泛函分析》