Stability for uncertain neutral systems with time-varying delay

Abstract

The robust stability for neutral systems with time-varying delay and norm-bounded uncertainties was investigated in this paper. Firstly, a new variable was introduced to replace the uncertainties of the systems. Then, by constructing a proper Lyapunov-Krasovskii functional and introducing free weighting matrix, a new asymptotic stability criterion was derived in terms of LMI, which is dependent on both discrete delay and the derivative of discrete delay, and allows the delay-derivative is greater than one. Finally, numerical examples were given to illustrate the improvement on the conservativeness of the delay bound over some reported results.