Necessary stability conditions for neutral-type systems with multiple commensurate delays
Marco A. Gomez, Alexey V. Egorov, Sabine Mondié · International Journal of Control · 2017
Necessary stability conditions depending on the Lyapunov matrix for neutral-type systems with commensurate delays are presented. In order to obtain them, further results are introduced: the computation of the Lyapunov–Krasovskii functional of complete-type by a new Cauchy formula and the introduction of identities that relate the fundamental and the Lyapunov matrix of the system. The main result is illustrated by some examples.