What is it about?
The paper studies the finite-time stability (FTS) of equilibrium points (EPs) in fractional-order nonlinear systems (FONSs). Classifying the EPs into initial EP and finite-time EP innovatively, equations of the EPs in FONSs are investigated comprehensively, and a unified definition depicting the EPs in the FONSs is proposed. Furthermore, sufficient conditions of the FTS of EPs in FONSs are given. The proposed results are verified with an illustrative example. Thus, different from existing works that declare non-existence of finite-time stable equilibria in FONSs, the existence of finite-time stable EPs in FONSs is confirmed in this paper.
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Why is it important?
Different from existing works that declare non-existence of finite-time stable equilibria in FONSs, the existence of finite-time stable EPs in FONSs is confirmed in this paper. This paper brings potential novel applications in control practice, typically such as the design of finite-time controller for fractional-order non-linear systems.
Perspectives
Different from existing works that declare non-existence of finite-time stable equilibria in FONSs, the existence of finite-time stable EPs in FONSs is confirmed in this paper.
Zaiyong Feng
Nanjing University of Science and Technology
Read the Original
This page is a summary of: Finite-time stability of fractional-order nonlinear systems, Chaos An Interdisciplinary Journal of Nonlinear Science, February 2024, American Institute of Physics,
DOI: 10.1063/5.0170419.
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