| Title |
Stability analysis of time-delay linear systems using two delay interval-dependent LKFs |
| DOI |
https://doi.org/10.5370/KIEE.2023.72.9.1091 |
| Keywords |
Time delay; Stability; Division of delay; Delay interval-dependent LKFs; LMI. |
| Abstract |
So far, most stability results of the time delay systems have been obtained using one LKF(Lyapunov-Krasovskii functional). In this paper, to get a less conservative result, we divide the time delay into two sections, and derive a stability condition using two LKFs that are different in the divided section but identical at the boundary. The stability condition is that the time derivative of LKF in each region is negative. By using several inequalities, a stability condition in the form of LMI was derived. Finally, the usefulness of the derived result was shown through two well-known examples. |