A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
By: Guisheng Zhai and Xuping Xu
Open Access
|Jul 2010References
- Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V. (1994)., SIAM, Philadelphia, PA.
- Branicky, M. S. (1998). Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,(4): 475-482.
- Cobb, D. (1983). Descriptor variable systems and optimal state regulation,(5): 601-611.
- DeCarlo, R., Branicky, M. S., Pettersson, S. and Lennartson, B. (2000). Perspectives and results on the stability and stabilizability of hybrid systems,(7): 1069-1082.
- Hespanha, J. P. and Morse, A. S. (2002). Switching between stabilizing controllers,(11): 1905-1917.
- Hu, B., Zhai, G. and Michel, A. N. (2002). Hybrid static output feedback stabilization of second-order linear time-invariant systems,: 475-485.
- Ikeda, M., Lee, T. W. and Uezato, E. (2000). A strict LMI condition for Hcontrol of descriptor systems,, pp. 601-604.
- Ishida, J. Y. and Terra, M. H. (2001). On the Lyapunov theorem for descriptor systems,, pp. 2860-2864.
- Kaczorek, T. (2002). Polynomial approach to pole shifting to infinity in singular systems by feedbacks,(2): 134-144.
- Kaczorek, T. (2004). Infinite eigenvalue assignment by output feedback for singular systems,(1): 19-23.
- Lewis, F. L. (1986). A survey of linear singular systems,(1): 3-36.
- Liberzon, D. (2003)., Birkhäuser, Boston, MA.
- Liberzon, D., Hespanha, J. P. and Morse, A. S. (1999). Stability of switched systems: A Lie-algebraic condition,(3): 117-122.
- Liberzon, D. and Morse, A. S. (1999). Basic problems in stability and design of switched systems,(5): 59-70.
- Masubuchi, I., Kamitane, Y., Ohara, A. and Suda, N. (1997). H control for descriptor systems: A matrix inequalities approach,(4): 669-673.
- Narendra, K. S. and Balakrishnan, J. (1994). A common Lyapunov function for stable LTI systems with commuting A-matrices,(12): 2469-2471.
- Sun, Z. and Ge, S. S. (2005a) Analysis and synthesis of switched linear control systems,(2): 181-195.
- Sun, Z. and Ge, S. S. (2005b)., Springer, London.
- Takaba, K., Morihara, N. and Katayama, T. (1995). A generalized Lyapunov theorem for descriptor systems,(1): 49-51.
- Uezato, E. and Ikeda, M. (1999). Strict LMI conditions for stability, robust stabilization, and H control of descriptor systems,, pp. 4092-4097.
- Xu, S. and Yang, C. (1999). Stabilization of discrete-time singular systems: A matrix inequalities approach,(9): 1613-1617.
- Zhai, G., Hu, B., Yasuda, K. and Michel, A. N. (2001). Disturbance attenuation properties of time-controlled switched systems,(7): 765-779.
- Zhai, G., Hu, B., Yasuda, K. and Michel, A. N. (2002). Stability and Lgain analysis of discrete-time switched systems,(3): 117-125.
- Zhai, G., Liu, D., Imae, J. and Kobayashi, T. (2006). Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems,(2): 152-156.
- Zhai, G. and Xu, X. (2009). A unified approach to analysis of switched linear descriptor systems under arbitrary switching,, pp. 3897-3902.
- Zhai, G., Kou, R., Imae, J. and Kobayashi, T. (2009a). Stability analysis and design for switched descriptor systems,(3): 349-355.
- Zhai, G., Xu, X., Imae, J. and Kobayashi, T. (2009b). Qualitative analysis of switched discrete-time descriptor systems,(4): 512-519.
Language: English
Page range: 249 - 259
Published on: Jul 2, 2010
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2010 Guisheng Zhai, Xuping Xu, published by University of Zielona Góra
This work is licensed under the Creative Commons License.