New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays

This paper is concerned with the problem of the delay-dependent robust stability of neutral systems with mixed delays and time-varying structured uncertainty. The uncertainty modeled in the systems is of the linear fractional type which includes the norm-bounded uncertainty as a special case. By constructing a new type of augmented Lyapunov-Krasovskii functional and using some integral inequalities, a new stability criterion is obtained in terms of a linear matrix inequality. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.