Abstract:

Incorporating with Lyapunov-Krasovskii method and integral inequality, the delay-dependent robust stabilization by states feedback for linear systems with uncertainties is discussed. The nonlinear matrix inequality (NLMI) is translated into a linear matrix inequality (LMI) by using linearization techniques, and the obtained robust stabilization criterion has only one outstanding parameter which is easy to select, thus avoiding the conservatism brought by selecting the parameters improperly. The numerical example verifies the effectiveness of the proposed method.