참고문헌
- T. Kaczorek, 'The singular general model of 2-D systems and its solutions,' IEEE Trans. on Automatic Control, vol. 33, no. 11, pp. 1060- 1061, 1988 https://doi.org/10.1109/9.14418
- T. Kaczorek, 'General response formula and minimums energy control for the general singular model for 2-D systems,' IEEE Trans. on Automatic Control, vol. 35, no. 4, pp. 433- 436, 1990 https://doi.org/10.1109/9.52296
- A. V. Karamanciogle and F. R. Lewis, 'Geometric theory for singular Roesser model,' IEEE Trans. on Automatic Control, vol. 37, no. 6, pp. 801-806, 1992 https://doi.org/10.1109/9.256336
- T. Kaczorek, 'Acceptable input sequences for singular 2-D linear systems,' IEEE Trans. on Automatic Control, vol. 38, no. 9, pp. 1391-1394, 1993 https://doi.org/10.1109/9.237652
- Y. Zou and S. L. Campbell, 'The jump behavior and stability analysis for 2-D singular systems,' Multidimensional Systems & Signal Processing, vol. 11, pp. 321-338, 2000
- C. Cai, W. Wang, and Y. Zou. 'A note on the internal stability for 2-D acceptable linear singular discrete systems,' Accepted by Multidimensional Systems & Signal Processing
- Y. Zou, W. Wang, and S. Xu, 'Structural stability of 2-D singular systems-Part I: basic properties,' Proc. of the Fourth International Conference on Control and Automation, Montreal, Canada, June, 2003
- Y. Zou, W. Wang, and S. Xu, 'Structural stability of 2-D singular systems Part II: a lyapunov approach,' Proc. of the Fourth International Conference on Control and Automation, Montreal, Canada, June, 2003
- W. Wang and Y. Zou, 'The detectability and observer design of 2-D singular systems,' IEEE Trans. on Circuits & Systems, vol. 49, no. 5, pp. 698-703, 2002 https://doi.org/10.1109/TCSI.2002.1001962
- Y. Zou, W. Wang, and S. Xu, 'Regular state observers design for 2-D singular Roesser models,' Proc. of the Fourth International Conference on Control and Automation, Montreal, Canada, June, 2003
- T. Kaczorek, 'The linear-quadratic optimal regulator for singular 2-D systems with variable coefficients,' IEEE Trans. on Automatic Control, vol. 34, no. 5, pp. 565-566, 1989 https://doi.org/10.1109/9.24218
-
H. Xu, Y. Zou, S. Xu, and J. Lam, 'Bounded real lemma and robust
$H_\infty$ control of 2-D singular Roesser models,' Submitted to Systems & Control Letters -
S. Xu, J. Lam, and C. Yang, 'Robust
$H_\infty$ control of uncertain discrete singular systems with pole placement in a disk,' Systems & Control Letters, vol. 43, pp. 85-93, 2001 https://doi.org/10.1016/S0167-6911(00)00115-8 - B. D. O. Anderson and S. Vongpanitlerd, Network Analysis and Synthesis: A Modern System Theory Approach, Prentice-Hall, Upper Saddle River, NJ, 1973
- W. M. Haddad and D. S. Bernstein, 'Robust stabilization with positive real uncertainty: beyond the small gain theorem,' Systems & Control Letters, vol. 17, pp. 191-208, 1991 https://doi.org/10.1016/0167-6911(91)90065-M
- M. Vidyasagar, Nonlinear Systems Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1993
- P. Molander and J. C. Willems, 'Synthesis of state feedback control laws with a specified gain and phase margin,' IEEE Trans. on Automatic Control, vol. 25, no. 5, pp. 928-931, 1980 https://doi.org/10.1109/TAC.1980.1102462
- W. Sun, P. P. Khargonekar, and D. Shim, 'Solution to the positive real control problem for linear time-invariant systems,' IEEE Trans. on Automatic Control, vol. 39, no. 10, pp. 2034- 2046, 1994 https://doi.org/10.1109/9.328822
- M. S. Mahmoud, Y. C. Soh, and L. Xie, 'Observer-based positive real control of uncertain linear systems,' Automatica, vol. 35, pp. 749-754, 1999 https://doi.org/10.1016/S0005-1098(98)00216-7
- W. M. Haddad and D. S. Bernstein, 'Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability. part II: discrete-time theory,' International Journal of Robust Nonlinear Control, vol. 4, pp. 249-265, 1994 https://doi.org/10.1002/rnc.4590040203
- M. S. Mahmoud and L. Xie, 'Positive real analysis and synthesis of uncertain discrete time systems,' IEEE Trans. on Circuits & Systems, vol. 47, no. 3, pp. 403-406, 2000 https://doi.org/10.1109/81.841924
- S. Xu and J. Lam, 'Positive real control of uncertain singular systems with state delay,' Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, vol. 9, pp. 387-402, 2002
- L. Zhang, J. Lam, and S. Xu, 'On positive realness of descriptor systems,' IEEE Trans. on Circuits & Systems-I: Fundamental Theory and Applications, vol. 49, no. 3, pp. 401-407, 2002 https://doi.org/10.1109/81.989180
-
C. Du and L. Xie,
$H_\infty$ Control and Filtering of Two-dimensional Systems, Springer-Verlag, Berlin, 2002 - T. Kaczorek, Two-Dimension Linear Systems, Spring-Verlag, New York ,1985
- D. Peaucelle, D. Arzelier, O. Bachelier, and J. Bernussou, 'A new robust D-stability condition for real convex polytopic uncertainty,' Systems & Control Letters, vol. 40, pp. 21-30, 2000 https://doi.org/10.1016/S0167-6911(99)00119-X