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, 1-18

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:961382

DOI: 10.1155/2012/961382

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