Robust stability criteria for single- and large-scale perturbed systems

Wen–june Wang, Tsu–tian Lee

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Simple time domain criteria for the robust stability or single– and large–scale linear perturbed systems are provided. A bound on the structured perturbation of an asymptotically stable single system is obtained to maintain stability using the concepts of matrix norm and measure. Using the properties of the M–matrix, the result is extended to derive a new criterion for the robust stability of large–scale perturbed systems. The proposed approach does not require the solution of the Lyapunov equation to obtain the allowable bounds for perturbation; the perturbation may be either time–varying or time–invariant.

Original languageEnglish
Pages (from-to)405-413
Number of pages9
JournalInternational Journal of Systems Science
Issue number3
StatePublished - 1988


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