New results on stabilization for neutral type descriptor hybrid systems with time-varying delays.

This paper revisits the issue of the stabilization for neutral type descriptor hybrid systems (NTDHSs) with time-varying delays. By a novel Lyapunov–Krasovskii functional (LKF) we constructed, a mode dependent and delay dependent criterion is acquired for the unforced NTDHSs to be stochastically admissible. On the basis of the criterion, a mode dependent state feedback controller (SFC) is designed such that the resulting closed-loop system is regular, impulse free and stochastically stable. By singular-value decomposition method, sufficient conditions are established via strict linear matrix inequality (LMI). And the gain of the SFC can be derived. It is worth noting that our results generalize the corresponding results published in latest literatures to some degree. The superiority and validity of our methods are displayed via two numerical examples. [ABSTRACT FROM AUTHOR]