Abstract
This paper considers the problem of delay-dependent robust stability and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance analysis for networked control systems (NCSs) with two time-varying additive delays components and uncertainties. The systems under consideration are based on a new time-delay model proposed recently, which contains multiple successive delay components in the state. By exploiting a novel Lyapunov-Krasovskii functional and state-of-the-art technique for time-delay systems, some less conservative delay-dependent stability criteria for NCSs with two successive delay components are derived in terms of linear matrix inequality (LMI), which can be readily solved by using standard numerical software. Numerical examples are given to demonstrate the benefits and the effectiveness of the proposed methods.
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