Section: New Results

Stability analysis of (fractional) neutral systems with commensurate delays

Participants : Catherine Bonnet, Andre Fioravanti [UNICAMP] , Le Ha Vy Nguyen.

Neutral time-delay systems may have chains of poles asymptotic to the imaginary axis. As the chains approach the axis, some systems are $H_{\infty }$-unstable even though all the poles are in the left-half plane. For a class of such systems, $H_{\infty }$-stability conditions were presented in [84] . While systems with no more than one chain of poles asymptotic to a set of points on the imaginary axis were exhaustedly studied, only a particular case of systems with multiple chains were considered. We continue the stability analysis for more general cases of the latter systems. Primary results on pole locations are obtained [53] , [52] . Based on these results, $H_{\infty }$-stability conditions have also been derived.