This paper focuses on the stability analysis for neutral systems with discrete and distributed constanttime-delays. Lyapunov-Krasovskii functionals (LKFs) are constructed by non uniformly dividing the whole delayinterval into multiple segments and choosing proper functionals with different weighting matrices coressponding todifferent segments in the LKFs. By employing these LKFs, some new delay-derivative-dependent stability criteriaare established for the neutral system in the delay partition approach. By utilizing the delay partition approach, theobtained stability criteria are stated in terms of linear matrix inequalities. Finally, some numerical examples areprovided to illustrate the effectiveness of the proposed approach less conservative than the existing ones.
This paper focuses on the stability analysis for neutral systems with discrete and distributed constanttime-delays. Lyapunov-Krasovskii functionals (LKFs) are constructed by non uniformly dividing the whole delayinterval into multiple segments and choosing proper functionals with different weighting matrices coressponding todifferent segments in the LKFs. By employing these LKFs, some new delay-derivative-dependent stability criteriaare established for the neutral system in the delay partition approach. By utilizing the delay partition approach, theobtained stability criteria are stated in terms of linear matrix inequalities. Finally, some numerical examples areprovided to illustrate the effectiveness of the proposed approach less conservative than the existing ones.