Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 3, Issue 4, Pages 383-390Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2007.0321
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- RGC HKU [7031/06P]
- Royal Society of the UK
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An effective approach is introduced to study the stability of continuous systems with multiple time-varying delay components. By employing a new Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods.
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