Xuezhang (John) Hou

Dr. Xuezhang (John) Hou

Associate Professor of Mathematics

Graduate Program Director of Applied and Industrial Mathematics

Office: 7800 York Road - Room 324

Telephone: 410-704-2578

I. TEACHING

Courses taught in Towson University:

MATH 111 Algebra for Applications; MATH 119 Pre-Calculus;
MATH 211 Calculus for Applications
MATH 263 Discrete Mathematics; MATH 265 Elementary Linear Algebra;
Math 273 Calculus I; MATH 274 Calculus II; MATH 275 Calculus III;

MATH 374 / MATH 574 Differential Equations; MATH 379/MATH 579 Advanced Calculus
MATH 475/MATH 577 Complex Analysis; MATH 473/MATH 576 Introductory Real Analysis;

MATH 635 Numerical Analysis; MATH 673 Integral Transforms and Applications;
MATH 674 Applied Partial Differential Equations.

II. ACADEMIC PUBLICATIONS.

1. Research Publications

Research Interest Areas: Control Theory for Partial Differential Equations; Differential Equations.

1. Xuezhang Hou, An Optimal Energy Control of a Flexible Plate with Viscoelastic Boundary Conditions, International Journal of Differential Equations and Applications , Vol. 11 (2012), No. 2,109-120 .

2. Xuezhang Hou, A Variable Structural Control of a Damped Sandwich Beam, Proceedings of the 2012 IEEE International Conference on Automation and logistics, 46-49.

3. Xuezhang Hou, Coupled Linear Feedback and Sliding Model Control for a Serially Connected Euler-Bernoulli Beam, International Journal of Pure and Applied Science and Technology (to appear).

4. Xuezhang Hou (co-authored with J. Fu and R. Chen), An Optimal Distributed Control for Age-dependent Population Diffusion System, General Mathematics Notes, Vol. 6 (2011), No. 1, 73-85.

5. Xuezhang Hou, Spectral Analysis and Semigroup Generation for a Flexible Beam System, Acta Analysis Functionalis Applicata, Vol. 13 (2011), No. 3, 319-331.

6. Xuezhang Hou (co-authored with H. Gao, S. Weng and D. Jiang), Existence principle of solutions to non-resonant singular boundary value problems, Journal of Mathematical Science Vol. 177 (2011), No. 3, 466-473.

7. Xuezhang Hou (co-authored with Xiaoning Lin and Ge Han), The Well-Posedness of Singular Second-Order Dynamic System with Dirichlet Boundary Value Problems, International Journal of Pure and Applied Mathematics, Vol. 66, No. 2 (2011), 221-228.

8. Xuezhang Hou, Existence principle of an Optimal Control for a Flexible Beam with Three Tuning Axles, Proceedings of the 2011 IEEE International Conference on Automation and logistics 477-482.

9. Xuezhang Hou (coauthored with S. Ren and Mostafa Aminzadeh et.) , Nonparametric Bootstrapping for Hierachical Data , Journal of Applies Statistics , Vol. 37, No. 9 (2010), 1487-1498.

10. Xuezhang Hou (co-authored with T. Zhu, S. Weng and D. Jiang), Existence Theory for Single and Multiple Positive Periodic Solutions to the Delay Logistic Equations with Impulse Effects, International Journal of Pure and Applied Mathematics, Vol. 62, No. 4 (2010), 453-469.

11. Xuezhang Hou and Xiaoning Lin, A Variable Structure Control for a Flexible Euler-Bernoulli Beam, Proceedings of the 2010 IEEE International Conference on Automation and logistics, 356-360.

12. Xuezhang Hou, An optimal control for a flexible Euler-Bernoulli beam, Journal of Information and Decision Science, Vol. 4 (2009), No. 2 159–165.

13. Xuezhang Hou (co-authored with S. Weng, H. Gao and D. Jiang), Upper and lower solutions method for fourth-order periodic boundary value problems, Journal of Applied Analysis, 14 (No. 1, 2008), 53–61.

14. Xuezhang Hou, Sliding Model Control for a Flexible Robot Arm, Proceedings of the IEEE ICIT 2008, 978-1-4244-1706-3.

15 Xuezhang Hou, Variable Structure Control of Infinite Dimensional System with Applications, Communications in Applied Analysis, Vol. 11 (2007), No.1, 1-14.

16. Xuezhang Hou (co-authored with S. Weng, H. Gao and D. Jiang),, On second order periodic boundary value problems with upper and lower solutions in the reversed order, Electronic Journal of Differential Equations, Vol. 2006(2006), No. 25, pp.1-8.

17. Xuezhang Hou (co-authored with H. Gao, S. Weng and D. Jiang), Upper and Lower Solutions for Non-resonant Singular Dirichlet Boundary Value Problems, Proceedings of 5^thAnnual Hawaii International Conference on Statistics, Mathematics and Related Fields,2006.

18. Xuezhang Hou, A Spectral Analysis to Stabilization of a Flexible Beam with Structural Damping, International Journal of Pure and Applied Mathematics, Vol. 23 ( 2005), 61-75.

19. Xuezhang Hou (co-authored with S. Weng, H. Gao and R. Chen), Penalty Shifting Method on Calculation of Optimal Linewise Control of Dam-detouring Osimotic Systemfor Concrete Dams with Heterogemous, Applied Mathematics and Computation, 169 (2005), 1129-1141.

20. Xuezhang Hou, Asymptotical Behavior of a Flexible Robot System with Point-wise Control, International Journal of Pure and Applied Mathematics, Vol. 15, No.3 (2004), 277-295.

21. Xuezhang Hou, Ohoe Kim, Ge Han, "An Operator Approach in Birth-Death Process", International Journal of Pure and Applied Mathematics, Nov.15, No.4(2004), 463-478.

22. Xuezhang Hou and Sze-Kai Tsui, “Analysis and Control of a Two-link and Three-joint Elastic Robot Arm,” Applied Mathematics and Computation, 152(2004), 759-777.

23. B.Z. Guo, Y. Xie and Xuezhang Hou, “On Spectrum of a General Petrowsky Type Equation and Riesz Basis of N-Connected Beam with Linear Feedback at Joints”, Journal of Dynamical and Control Systems, Vol.10,No.2 (2004), 187-211.

24. Xuezhang Hou, “Asymptotical Stability of a Dynamic System with Structural Damp,” International Journal of Applied mathematics and Computer Science, Vol. 13(2003), No.2, 101-108.

25. Xuezhang Hou and Sze-Kai Tsui, “A Feedback Control and Simulation of a Torsional Elastic Robot Arm,” Applied Mathematics and Computation, 142 (2003), 389-407.

26. H. Gao, X. Hou and N. H. Pavel, “Optimal Control and Controllability Problems for a Class of Nonlinear Degenerate Diffusion Equations,” PanAmerican Mathematical Journal, 13(2003), No. 1, 103 - 126.

27. H. Gao, X. Hou and N. H. Pavel, “Optimal Control problems for a Class of Diffusion Equations,” American Romanian Academic Journal, Volume 2002, No. 27, 69-74

28. Xuezhang Hou, An Optimal Control for an Evolution System,” Journal of Systems Science and Systems Engineering, Vol, 11, No.2, 246-250 (2002).

29. Z. Wang, Z. Li, S. Zhang and Xuezhang Hou,"Decentralized Control for Similar Composite Systems with Interconnections Unsatisfying Interconnected Condition", Journal of Systems Science and Systems Engineering, Vol.10, No.1, 62-72 (2001).

30. Z. Wang, Z. Li, S. Zhang and X. Hou,"Decentralized Control for Similar Composite Systems with Interconnections Satisfying Interconnected Condition", Journal of Systems Science and Systems Engineering, Vol.9, No.3, 272-279 (2000).

31. Xuezhang Hou and Sze-Kai Tsui, "Control and Stability of a Torsional Elastic Robot Arm," Journal of Mathematical Analysis and Applications, 243, 140-162(2000).

32. Xuezhang Hou and Sze-Kai Tsui, "A Mathematical Model for Flexible Robot Arms," System Modeling and Optimization, Chapman & Hall / CRC Rec. Notes Math., 396, Chapman & Hall / CRC, BocaRaton, FL, 391-398 (1999).

33. Xuezhang Hou and Sze-Kai Tsui, "A Control Theory for Cartesian Flexible Robot Arms," Journal of Mathematical Analysis and Applications, 225, 265-288 (1998).

2. Published Books

1. "Theory of Functions of Real Variables," Publishing House of Northeast Normal University, 1992.

2. "Real Analysis and Functional Analysis," Publishing House of Northeast Normal University, 1995.

3. "One Thousand Applied Examples of Higher Mathematics to Pre-calculus," Publishing House of Northeast Normal University, 1995.

III. ACADEMIC ACTIVITIES

1. Conferences

1. As a Program Committee member, paper reviewer and the Session Chair of the Robotics, to attend the 2011 IEEE International Conference on Automation and Logistics, and presented a research paper “Existence principle of an Optimal Control for a Flexible Beam with Three Tuning Axles” in the conference, August 15-18, Chongqing, China.

2. As a Program Committee member, paper reviewer and the Session Chair of the Robotics, attended the 2010 IEEE International Conference on Automation and Logistics, and presented a research paper “A Variable Structure Control for a Flexible Euler-Bernoulli Beam” in the conference, August 16-20, Hong Kong and Macau, China.

3. As a Program Committee member, paper reviewer and the Session Chair of the Robotics, attended the 2009 IEEE International Conference on Automation and Logistics, and presented a research paper “An Optimal Energy Control for a Flexible Robot Arm” in the conference, August 5 – 7, Shenyang, China,

4. Attended the 2008 IEEE International Conference on Industrial Technology, and presented a research paper in the conference April 21-24, Chengdu, china.

5. Attend the International Conference on Partial Differential equations and Numerical Analysis, and present a lecture " Control and Simulation of a Flexible Robot Systems Formulated by Partial Differential Equations", Guangzhou, China, Dec. 27, 2006 ~ Jan.2, 2007.

6. Attend the 2006 Hawaii International Conference on Statistics, Mathematics and Related Fields, and present a lecture “Upper and Lower Solutions for Non-resonant Singular Dirichlet Boundary Vale Problems”.

7. Attend The Third International Conference on Optimizations and Control with Applications, Chongqing, China 2004, and presented an invited lecture on Optimal Control of a Flexible Robot System.

8. Attended the International Congress of Mathematicians (ICM-2002), Beijing 2002, and presented a 15 minutes lecture titled "A Feedback Control and Simulations of a Flexible Robot Arm". The abstract of this talk was published.

2. Paper Review

I have reviewed many papers for the refereed journals such as Applied Mathematics and Computations; International Journal of Applied Mathematics and Computer Science, Computer and Mathematics etc. and the refereed conference proceedings.

3. Colloquium Talks

1. "An Optimal Control on an Evolution System, at Mathematics Department of Towson University, April 18, 2002.

2. An invited talk " Analysis and Control of the Flexible Robot Arms", at the Department of Mathematics of Ohio University, April 18,2003.

IV. HONORS and AWARDS

· Awarded with the Excellence in Scholarship Award by the College of Science and Mathematics, Towson University, 2004.

· Awarded with a Certificate of Recognition for my contribution to students with disabilities in Towson University, 2006.