Input-to-state stability of a class of Lur'e descriptor systems

Publisher:
John Wiley & Sons, Ltd.
Publication Type:
Journal Article
Citation:
International Journal Of Robust And Nonlinear Control, 2013, 23 (12), pp. 1324 - 1337
Issue Date:
2013-01
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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.
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