Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 360, Issue 7, Pages 5092-5103Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2023.03.018
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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.
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.
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