Stability of Descriptor Systems with Sector and Slope Restricted Nonlinearities
نویسندگان
چکیده
This paper considers the stability problem of Lur’e type descriptor systems (LDS) with sector and slope restricted nonlinearities. The concepts of global index one and strongly absolute stability are firstly introduced. Then by using S-procedure and matrix inequality approach, two sufficient conditions for LDS to be strongly absolutely stable are derived. It is shown that such conditions also guarantee the existence and uniqueness of solution to the descriptor systems. Furthermore, the criteria are reduced to strict linear matrix inequalities (LMI) based algorithms. Finally, numerical examples are given to illustrate the presented results.
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تاریخ انتشار 2007