Stability criteria for continuous-time systems with additive time-varying delays

SUMMARYThis paper studies the problem of stability analysis for continuous‐time systems with two additive time‐varying delay components. By taking the independence and the variation of the additive delay components into consideration, more general type of Lyapunov functionals are defined. Together w...

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Bibliographic Details
Published in:Optimal control applications & methods 2014-03, Vol.35 (2), p.166-178
Main Authors: Zhu, Xun-Lin, Wang, Youyi, Du, Xin
Format: Article
Language:English
Subjects:
additive time-varying delays
Additives
Criteria
Delay
delay-dependent stability
Derivatives
Functionals
LMIs
Lyapunov functional
Optimal control
Stability
Upper bounds
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Summary:SUMMARYThis paper studies the problem of stability analysis for continuous‐time systems with two additive time‐varying delay components. By taking the independence and the variation of the additive delay components into consideration, more general type of Lyapunov functionals are defined. Together with a tighter estimation of the upper bound of the cross‐product terms derived from the derivatives of the Lyapunov functionals, less conservative delay‐dependent stability criteria are established in terms of LMIs. Combining with a reciprocally convex combination technique, the newly obtained stability conditions are also less complex. Two numerical examples are given to illustrate the effectiveness and the significant improvement of the proposed method. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2060