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Delay-independent stability criteria for discrete uncertain large-scale systems with time delays

✍ Scribed by Chien-Hua Lee; Tsung-Lieh Hsien

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 671 KB
Volume: 334
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(96)00053-1

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✦ Synopsis

Based on the Lyapunov stability theorem associated with norm inequality techniques, the stability testing problem for discrete large-scale uncertain systems with time deIays in the interconnections is investigated. Three classes of uncertainties are treated: nonlinear, linear unstructured and linear highly structured uncertainties. Several new delay-independent sufficient conditions, expressed by inequalities, are presented to preserve the asymptotic stability of the discrete largescale uncertain time-delay systems. Although the Lyapunov stability theorem is utilized, it is not necessary to solve any Lyapunov equation. Two demonstrative examples are given to show the effectiveness of these quantitative results.

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