Delay-dependent robust BIBO stabilization of uncertain system via LMI approach

Abstract This paper addresses the problem of robust BIBO stabilization for the uncertain time-delay system. A novel delay-dependent stabilizable criterion is presented by a quadratic Lyapunov function and the method of the variation of parameters to guarantee that bounded input can lead to bounded output. The proposed design condition is formulated in terms of linear matrix inequality (LMI) which can be easily solved by LMI Toolbox in Matlab. Finally, numerical examples are given to illustrate the effectiveness of our results.