Finite-time stability of singular time-delay systems based on a new weighted integral inequality

In this work, we study the finite-time stability for singular time-delay systems. Particularly, we analyze the effects from the exponential weighted function e eta( t-s ) . A new weighted integral inequality in the form of infinite series for solving finite-time stability problems has been derived. Based on that, some sufficient conditions have been obtained to guarantee that the underlying system is finite-time stable. A numerical example is provided to demonstrate the efficiency of our methods. (c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.

Automated summary

In this work, the finite-time stability for singular time-delay systems is studied. The effects of the exponential weighted function e eta(t-s) are analyzed, and a new weighted integral inequality in the form of infinite series is derived for solving finite-time stability problems. Based on that, sufficient conditions are obtained to guarantee the finite-time stability of the underlying system. A numerical example is provided to demonstrate the efficiency of the methods.