FINITE-TIME STABILITY OF DISCRETE DESCRIPTOR SYSTEMS WITH TIME-VARYING DELAY AND NONLINEAR UNCERTAINTIES

Yusheng Jia; Chong Lin; Mingji Zhang

doi:10.11948/20240015

2024 Volume 14 Issue 5

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Yusheng Jia, Chong Lin, Mingji Zhang. FINITE-TIME STABILITY OF DISCRETE DESCRIPTOR SYSTEMS WITH TIME-VARYING DELAY AND NONLINEAR UNCERTAINTIES[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2977-2992. doi: 10.11948/20240015

Citation:

Yusheng Jia, Chong Lin, Mingji Zhang. FINITE-TIME STABILITY OF DISCRETE DESCRIPTOR SYSTEMS WITH TIME-VARYING DELAY AND NONLINEAR UNCERTAINTIES[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2977-2992. doi: 10.11948/20240015

FINITE-TIME STABILITY OF DISCRETE DESCRIPTOR SYSTEMS WITH TIME-VARYING DELAY AND NONLINEAR UNCERTAINTIES

1.
Institute of Complexity Science, Shandong Key Laboratory of Industrial Control Technology, School of Automation, Qingdao University, Qingdao 266071, China
2.
Department of Mathematics, New Mexico Institution of Mining and Technology, Socorro, NM 87801, USA

Author Bio: Email: jiayusheng1982@tom.com(Y. Jia); Email: mingji.zhang@nmt.edu(M. Zhang)
Corresponding author: Email: linchong_2004@hotmail.com(C. Lin)
Fund Project: The authors were supported by National Natural Science Foundation of China (61873137) and Shandong Taishan Scholar Project (ts20190930)

Abstract

Abstract

The finite-time stability for discrete descriptor systems with time-varying delay and nonlinear uncertainties is studied. A new discrete inequality is obtained. On this basis, by combining exponential weighted Lyapunov-like functional (LLF) and convex combination techniques, the sufficient conditions for the system to be finite-time stable are obtained. Finally, we demonstrate the effectiveness of our method through three specific examples.
- Finite-time stability /
- descriptor systems /
- delay /
- discrete weighted inequality
MSC: 34D99, 34M03, 35E99

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References

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