$H_\infty$-Stability Analysis of Fractional Delay Systems of Neutral Type

Le Ha Vy Nguyen, Catherine Bonnet, André Ricardo Fioravanti
2016 SIAM Journal of Control and Optimization  
In this paper we consider linear fractional systems of commensurate orders and with commensurate delays, whose characteristic equation is a polynomial in the two variables s α (0 < α < 1) and e −sτ (τ > 0). These systems may have single or multiple chains of poles asymptotic to the imaginary axis. Location of poles of large modulus belonging to these chains are determined by approximation and simple necessary and sufficient H∞-stability conditions are derived.
doi:10.1137/14098123x fatcat:x7fjligikfaivlhrsny3mifsii