quantum control
chaos
nonlinear dynamics
Complexity Analysis in Hybrid Systems (pdf file)
J. Shao, T. Huang, and G. Zhang, ``Linear system based approach for solving some related problems of M-matrices,'' Linear Algebra and its Applications, 2009 (accepted).
G. Zhang, L. Wang, and T. Chen, ``Complexity analysis of networked-based dynamical systems,'' J. of Systems Science and Complexity, 2009 (accepted).
J. Yu, L. Wang, G. Zhang, M. Yu, ``Output feedback stabilisation of networked control systems via switched system approach,'' International Journal of Control, vol. 82, no. 9, pp. 1366-5820, 2009. [pdf file]
B. Wu, L. Wang, G. Zhang, J. Wang, ``Linguistic consensus on a circle,'' Int. J. Information and Systems Sciences, vol. 5. no. 2, pp. 219 - 229, 2009. [pdf file]
G. Zhang and W. Zheng, ``Stability and bifurcation analysis of a class of networked dynamical systems,'' IEEE Trans. CAS II, (accepted)
G. Zhang, X. Chen and T. Chen, ``Controller discretization via the generalized bilinear transformation,'' International Journal of Control, vol. 82, no. 4, pp. 1366-5820, 2008. [pdf file]
G. Zhang, X. Chen, and T. Chen, ``A mixed-integer programming approach to networked control systems,'' International Journal of Numerical Analysis and Modeling, vol. 5, pp. 590-611, 2008. [pdf file]
G. Zhang, T. Chen and X. Chen, ``Performance recovery in digital implementation of analog systems,'' SIAM J. Control and Optimization, vol. 45, no. 6, pp. 2207-2223, 2007. (pdf file)
G. Zhang, G. Chen, T. Chen, and M. D'Amico, ``Dynamical analysis of a networked control system,'' Int. J. of Bifurcation and Chaos, vol. 17, no. 1, pp. 61-83, 2007. (pdf file)
G. Zhang, G. Wang, and Q. Song, ``Networked control systems: model, analysis and control,'' information and control, vol. 36, no. 3, pp. 371-379, 2007 (in Chinese). (pdf file)
G. Zhang, G. Chen, T. Chen, and Y. Lin, ``Analysis of a type of nonsmooth dynamical systems,'' Chaos, Solitons & Fractals, vol. 30, pp. 1153-1164, 2006. (pdf file)
G. Zhang and T. Chen, ``Networked control systems: a perspective from chaos,'' Int. J. of Bifurcation and Chaos, vol. 15, no. 10, pp. 3075-3101, 2005. (pdf file)
G. Zhang and T. Chen, ``Comparing digital implementation via the bilinear and step-invariant transformations,'' Automatica, vol. 40, no. 2, 327-330, 2004. (pdf file)
G. Zhang, Q. Zhang, T. Chen, and Y. Lin, ``On Lyapunov theorems for descriptor systems,'' Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, vol. 10, no. 5, 709-726, 2003. (pdf file).
G. Zhang, X. Chen, and T. Chen, ``$\ell_{p}$-equivalence of discretizations of analog controllers,'' the 17th IFAC World Congress, Seoul, Korea, July 6-11, 2008 (accepted). (pdf file)
G. Zhang, X. Chen, and T. Chen, ``Performance comparison of digital implementation of analog systems,'' Proceedings of the 46th Conference on Decision and Control, pp. 785-790, New Orleans, December 12-14, 2007. (pdf file)
G. Zhang, X. Chen, and T. Chen, ``A model predictive control approach to networked control systems,'' Proceedings of the 46th Conference on Decision and Control,pp. 3339-3344, New Orleans, December 12-14, 2007. (pdf file)
G. Zhang, Y. Xu, H. Xu, and C. Wen, ``A further study of a nonsmooth dynamical economic model,'' Proceedings of the 4th Asia-Pacific Workshop on Chaos Control and Synchronization, Harbin, China, pp. 218-226, August 24-26, 2007.
D. Yang, Q. Zhang and G. Zhang, ``$H_{2}$ Algebraic Riccati equation for descriptor systems,'' Proceedings of the American Control Conference, 2937-2942, 2001
G. Zhang, Q. Zhang and J. Zhang, ``A geometric approach to controllability and observability of descriptor systems,'' Proceedings of 3rd Asian Control Conference, 868-871, 2000.
G. Zhang, Q. Zhang, J. Zhang and J. Lam,`` Robust circular pole assignment for uncertain continuous descriptor systems,'' Proceedings of 3rd Asian Control Conference, 1022-1027, 2000.
G. Zhang and T. Chen, ``Analysis of a class of nonsmooth dynamical systems,'' the 4th DCDIS International Conference, Guelph, July 27-29, 2005.
G. Zhang, `` An analysis of chaotic behavior in networked control systems,’’ Alberta Young Researchers in Mathematics, Calgary, Alberta, April 9-10, 2005.
G. Zhang, ``Error, or Chaos?’’ Advanced Control Systems, University of Alberta, March 2005. (ppt file)
G. Zhang, ``A study of chaotic systems,’’ Advanced Control Systems, University of Alberta, January 2005. (ppt file).
G. Zhang, ``Chaos? ’’ CCCS, City University of Hong Kong, December 2005. (ppt file)
G. Zhang and T. Chen, ``Networked control systems --- a perspective from chaos, ’’ Presented at the joint seminar by the City University of Hong Kong and the Polytechnic University of Hong Kong, October 15, 2004. (Also in the University of Hong Kong, October, 2004) (ppt file)
G. Zhang and T. Chen, ``Analysis and design of networked control systems,’’ Advanced Control Systems, University of Alberta, 2003. (pdf file).
|
One-dimensional case |
||||||||
|
Converging to the origin |
Converging to a non-origin point |
Periodic |
Wandering around |
|||||
|
Two-dimensional case |
||||||||
|
What a messy! |
Formless? |
Beautiful? |
Fighting? |
Sensitivity! |
Rolling tire? |
|||
My Erdös
number is 3:
Paul Erdös - Charles K. Chui -
G. Ron Chen – Guofeng Zhang
1. Borosh, I., Chui, C. K. and
Erdos, P.,
``On changes of signs in infinite series,'' Anal. Math. 4(1), 3-12, 1978.
2. Chui, C. K. and Chen, G., Kalman
Filtering With Real-Time Applications, Springer-Verlag, New York, 1st ed.,
1987; 2nd ed., 1991; 3rd ed., 1999.
3. Zhang G., Chen G., Chen T., and D'Amico M., ``Dynamical analysis of a networked control system,'' Int. J. of Bifurcation and Chaos, vol. 15, no. 10, pp. 3075-3101, 2005.
1.