Robustness bounds for large-scale time-delay systems with structured and unstructured uncertainties

Wen June Wang, Cheng Chong Song, Chien Chung Kao

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We use the concept of Lyapunov stability instead or the M-matrix or quasi-diagonal dominance techniques to treat the robust stability problem for large-scale time-delay systems. The allowable bounds of structured and unstructured uncertainties which maintain the stability of the systems are derived. For the unstructured uncertain system, the robustness bounds are obtained directly from the system matrices even without solving the Lyapunov equation. Two main results are also applicable to the stability test and stabilization design.

Original languageEnglish
Pages (from-to)209-216
Number of pages8
JournalInternational Journal of Systems Science
Volume22
Issue number1
DOIs
StatePublished - Jan 1991

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