Robust Stability and H_∞Control of Interval Uncertain Impulsive Systems with TimeVarying Delay

The Lyapunov functional and matrix norm properties are used to investigate the problems of robust stability, stabilization and H∞control for uncertain impulsive systems with timevarying delay, in which the parametric uncertainties are assumed to be interval uncertainties. The sufficient conditions for several stabilities are obtained in terms of linear matrix inequalities. In applications, e.g., for high dimension systems, it is usually difficult to transform the uncertainties into the normbounded uncertainties. In this work, by means of matrix norm properties, only the upper and lower bounds of the system matrices are required. Numerical examples are given to illustrate the applicability of the theoretical results.