Robust Stability of a Class of Uncertain Lur′e Systems of Neutral Type

W. Weera and P. Niamsup

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper deals with the problem of stability for a class of Lur’e systems with interval time‐varying delay and sector‐bounded nonlinearity. The interval time‐varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov‐Krasovskii functional combined with Leibniz‐Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results.

Date: 2012
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https://doi.org/10.1155/2012/961382

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:961382

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