STABILIZATION OF NONLINEAR SINGULARLY PERTURBED MULTIPLE TIME-DELAY SYSTEMS BY DITHER

Dither is a high frequency signal injected into nonlinear systems for the purpose of improving their performance. Stability of the dithered nonlinear singularly perturbed multiple time-delay system is investiga ted by deriving its corresponding dithered reduced-order model and by using the relaxed method to analyze stability of the dithered reduced- order model when the frequency of dither is sufficiently high. Moreove r if the singular perturbation parameter is sufficiently small, then s tability of the relaxed model would imply stability infinite time of t he the dithered nonlinear singularly perturbed multiple time-delay sys tem.