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

Abstract EN

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.