期刊
AUTOMATICA
卷 43, 期 10, 页码 1855-1858出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2007.02.022
关键词
delayed systems; stability; integral inequality for delays; constraints elimination
资金
- National IT Industry Promotion Agency (NIPA), Republic of Korea [C1090-0603-0037] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
To concern the stability and robust stability criteria for systems with time-varying delays, this note uses not only the time-varying-delayed state x(t - h(t)) but also the delay-upper-bounded state x(t -) to exploit all possible information for the relationship among a current state x(t), an exactly delayed state x(t - h(t)), a marginally delayed state x(t - h), and the derivative of the state x(t), when constructing Lyapunov-Krasovskii functionals and some appropriate integral inequalities, originally suggested by Park (1999. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transactions on Automatic Control, 44(4), 876-877). Two fundamental criteria are provided for the cases where no bound of delay derivative is assumed and where an upper bound of delay derivative is assumed. Examples show the resulting criteria outperform all existing ones in the literature. (c) 2007 Elsevier Ltd. All rights reserved.
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