Abstract
In this work, we study the finite-time stability for singular time-delay systems. Particularly, we analyze the effects from the exponential weighted function eη(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.
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