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.
"Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type." Abstr. Appl. Anal. 2012 (SI15) 1 - 18, 2012. https://doi.org/10.1155/2012/961382