Regular Papers
International Journal of Control, Automation and Systems 2022; 20(4): 1186-1193
Published online April 2, 2022
https://doi.org/10.1007/s12555-020-0873-z
© The International Journal of Control, Automation, and Systems
New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions
In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method.
Keywords Finite-time stability, H∞ finite-time stability, singular system, time-dependent Lyapunov function.
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Regular Papers
International Journal of Control, Automation and Systems 2022; 20(4): 1186-1193
Published online April 1, 2022 https://doi.org/10.1007/s12555-020-0873-z
Copyright © The International Journal of Control, Automation, and Systems.
New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions
Qian Ma and Yuangong Sun*
University of Jinan
Abstract
In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method.
Keywords: Finite-time stability, H∞ finite-time stability, singular system, time-dependent Lyapunov function.
Vol. 23, No. 3, pp. 683~972
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