Input-to-state stability of a class of Lur'e descriptor systems
Article first published online: 16 APR 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 23, Issue 12, pages 1324–1337, August 2013
How to Cite
Yang, C., Zhang, Q. and Huang, S. (2013), Input-to-state stability of a class of Lur'e descriptor systems. Int. J. Robust Nonlinear Control, 23: 1324–1337. doi: 10.1002/rnc.2821
- Issue published online: 9 JUL 2013
- Article first published online: 16 APR 2012
- Manuscript Accepted: 8 MAR 2012
- Manuscript Revised: 30 JAN 2012
- Manuscript Received: 26 JAN 2011
- Lur'e descriptor systems;
- input-to-state stability;
- linear matrix inequality
This paper considers a class of Lur'e descriptor systems (LDS) subject to exogenous disturbances. The concept of input-to-state stability (ISS) is generalized to descriptor systems. Such a notion characterizes the robust stability of the full state of the systems. Based on the conventional ISS theory, a sufficient condition expressed by linear matrix inequalities (LMIs) for the LDS to be ISS is derived. It is further shown that this condition also guarantees a special class of LDS to be of index one. Then, a state feedback controller is designed to make the closed-loop system ISS. Finally, an example is given to illustrate the obtained results. Copyright © 2012 John Wiley & Sons, Ltd.