5 CONCLUSION
In this paper, the sufﬁcient conditions of ﬁnite-time
stability are proposed for the class of nonlinear de-
scriptor systems. The settling time estimates are ob-
tained. Both, explicit and implicit Lyapunov func-
tion methods are considered. The conditions are suf-
ﬁciently less restrictive than those proposed in (Chen
and Yang, 2016). The presented ﬁnite-time stability
analysis opens a lot of topics for future research. For
example, control and observer design for descriptor
systems based on the proposed stability conditions.
ACKNOWLEDGEMENTS
This work is supported by RSF under grant 22-29-
00344 in ITMO University.
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