Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems

作者：Zhu Shuqian^*; Zhang Chenghui; Cheng Zhaolin; Feng June

来源：IEEE Transactions on Automatic Control, 2007, 52(5): 880-885.

DOI：10.1109/TAC.2007.895951

• delay-dependent stability criteria
• linear matrix inequality (LMI)
• norm-bounded uncertainty
• singular time-delay systems

In this note, the delay-dependent robust stability criteria for two classes of singular time-delay systems with norm-bounded uncertainties are investigated. First, without using model transformation and bounding technique for cross terms, an improved delay-dependent stability criterion for the nominal singular time-delay system is established in terms of strict linear matrix inequalities (LMIs). Then, based on this criterion, the delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems are proposed, which ensure that the systems are regular, impulse free and asymptotically stable for all admissible uncertainties. Numerical examples are proposed to illustrate the less conservatism of the obtained results.

• 出版日期2007-5
• 单位山东大学