Strongly Absolute Stability Problem of Descriptor Systems

Abstract. This paper considers Lur’e type descriptor systems (LDS). The concept of strongly absolute stability is defined for LDS and such a notion is a generalization of absolute stability for Lur’e type standard state-space systems (LSS). A reduced-order LSS is obtained by a standard coordinate transformation and it is shown that the strongly absolute stability of the LDS is equivalent to the absolute stability of the reduced-order LSS. By a generalized Lyapunov function, we derive an LMIs based strongly absolute stability criterion. Furthermore, we present the frequency-domain interpretation of the criterion, which shows that the criterion is a generalization of the classical circle criterion. Finally, numerical examples are given to illustrate the effectiveness of the obtained results. Key words: Lur’e type systems, descriptor systems, strongly absolute stability, linear matrix inequality (LMI).

• Type: Journal
• Year: 2007
• Where: INFORMATICALT
• Authors: Chunyu Yang, Qingling Zhang, Linna Zhou
• Keywords: Absolute Stability, Descriptor Systems, INFORMATICALT 2007, Reduced-order Lss