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Robust stability analysis of uncertain systems with two additive time-varying delay components. (English) Zbl 1173.93024
Summary: This paper is concerned with stability analysis for uncertain systems. The systems are based on a new time-delay model proposed recently, which contains multiple successive delay components in the state. The relationship between the time-varying delay and its upper bound is taken into account when estimating the upper bound of the derivative of Lyapunov functional. As a result, some less conservative stability criteria are established for systems with two successive delay components and parameter uncertainties. Numerical examples show that the proposed criteria are effective and are an improvement over some existing results in the literature.

93D09 Robust stability
93C41 Control/observation systems with incomplete information
93C23 Control/observation systems governed by functional-differential equations
93C15 Control/observation systems governed by ordinary differential equations
15A39 Linear inequalities of matrices
LMI toolbox
Full Text: DOI
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