New Absolute Stability Conditions of Lur’e Systems with Time-Varying Delay

الملخص EN

This paper is focused on the absolute stability of Lur’e systems with time-varying delay.

Based on the quadratic separation framework, a completedelay-decomposing Lyapunov-Krasovskii functional is constructed.

By considering the relationship between the time-varying delay and its varying interval, improved delay-dependent absolute stability conditions in terms of linear matrix inequalities (LMIs) are obtained.

Moreover, the derived conditions are extended to systems with time-varying structured uncertainties.

Finally, a numerical example is given to show the advantage over existing literatures.