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DELAY-INDEPENDENT STABILITY OF RETARDED DYNAMIC SYSTEMS OF MULTIPLE DEGREES OF FREEDOM

✍ Scribed by Z.H. WANG; H.Y. HU

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 223 KB
Volume: 226
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1999.2282

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✦ Synopsis

On the basis of generalized Sturm theory, this paper presents a simple, but systematic approach to the delay-independent stability analysis of the linear dynamic systems involving multiple degrees of freedom and possibly two time delays. The approach enables one to complete the stability analysis in a much simpler way than before through the use of a MAPLE routine given in the paper. To demonstrate the approach, the paper gives a detailed analysis, the corresponding su$cient and necessary conditions as well as stable regions in parameter space of concern for the delay-independent stability of a vibrating system with time delays in state feedback, an active-tendon for a tall structure and an active suspension of a quarter car model.

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