| Title |
Improved stability of time-delayed linear systems using new negative condition of constrained quadratic function |
| DOI |
https://doi.org/10.5370/KIEE.2020.69.12.1904 |
| Keywords |
Stability; time-delay; LKF; constrained quadratic function; equivalent transform; LMI |
| Abstract |
This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame of the LyapunovKrasovskii functional(LKF) approach. First, we choose an LKF that is the form of a constrained quadratic function(CQF) for the delay in its time-derivative and a quadratic integral. Second, the Bessel-Legendre inequality and the reciprocally convex inequality are used to find the upper bound of the quadratic integral. Third, a new form of necessary and sufficient condition is adopted to equivalently transform the CQF into the form of Linear matrix inequality(LMI). Finally, two well-known numerical examples are given to show the usefulness of the proposed result. |