A new result for $H_{\infty}$ performance analysis of sampled-data systems via looped-functionals

This paper is concerned with
$H_{\infty}$
performance analysis of aperiodic sampled-data systems by employing the input delay approach. Firstly, a novel augmented looped-functional (ALF) is presented under the double-side looped-functional technique, which considers coupled relationships among state vectors more fully than the current ones. Then, by using the Bessel-Legendre inequality to estimate the derivative of the ALF, a stability criterion is derived in the form of linear matrix inequalities. Finally, a numerical example demonstrates the effectiveness and the advantages of the proposed criterion by comparing it with the existing ones.