Delay-dependent dissipativity of singular time-delay systems

作者：Mahmoud Magdi S^*

来源：IMA Journal of Mathematical Control and Information, 2009, 26(1): 45-58.

DOI：10.1093/imamci/dnn012

• disspativity
• dissipative control
• time-delay systems
• singular systems
• state feedback
• LMI

In this paper, new results are established for the delay-dependent problems of dissipative analysis and state-feedback synthesis of singular time-delay (STD) systems with polytopic uncertainties. The developed results for the nominal singular system encompass available results on (infinity) approach, passivity and positive realness for STD systems as special cases. All the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived. Numerical examples are provided.

• 出版日期2009-3
• 单位中国石油大学（北京）