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IMA Journal of Mathematical Control and Information 2000 17(3):257-263; doi:10.1093/imamci/17.3.257
© 2000 by Institute of Mathematics and its Applications
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Stability robustness of discrete-time perturbed descriptor systems

JYH-HORNG CHOU1,{dagger}, WEN-HWEI LIAO2 and ING-RONG HORNG3

1Professor, Institute of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology 1 University Road, Yenchao, Kaohsiung 824, Taiwan, Republic of China
2Graduate Student, Institute of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, Republic of China
3Professor, Institute of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, Republic of China

{dagger}To whom correspondence should be addressed. Email: choujh{at}ccms.nkfust.edu.tw

In this paper, the stability robustness of linear discrete-time descriptor systems with structured (elemental) parameter perturbations is investigated. A new sufficient criterion is presented for ensuring that the linear discrete-time descriptor system remains regular, impulse free, and asymptotically stable under structured (elemental) parameter perturbations. By mathematical analysis, the presented criterion is proved to be less conservative than the existing one reported recently.


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