Strongly absolute stability of Lur ’ e type differential - algebraic systems ✩
نویسندگان
چکیده
In this paper, we consider Lur’e type differential-algebraic systems (LDS) and introduce the concept of strongly absolute stability. Such a notion is a generalization of absolute stability for Lur’e type standard state-space systems (LSS). By a Lur’e type Lyapunov function, we derive an LMI based stability criterion for LDS to be strongly absolutely stable. Using extended strictly positive realness (ESPR), we present the frequency-domain interpretation of the obtained criterion, by which we simplify the criterion and show that the criterion is a generalization of the well-known Popov criterion. Finally, we illustrate the effectiveness of the main results by a numerical example. © 2007 Elsevier Inc. All rights reserved.
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