Abstract:
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 timevarying 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 normbounded 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.