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Finite-Time Stability Analysis: A Tutorial Survey

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  • Honglei Xu

Abstract

In the past decades, there has been a growing research interest in the field of finite-time stability and stabilization. This paper aims to provide a self-contained tutorial review in the field. After a brief introduction to notations and two distinct finite-time stability concepts, dynamical system models, particularly in the form of linear time-varying systems and impulsive linear systems, are studied. The finite-time stability analysis in a quantitative sense is reviewed, and a variety of stability results including state transition matrix conditions, the piecewise continuous Lyapunov-like function theory, and the converse Lyapunov-like theorem are investigated. Then, robustness and time delay issues are studied. Finally, fundamental finite-time stability results in a qualitative sense are briefly reviewed.

Suggested Citation

  • Honglei Xu, 2020. "Finite-Time Stability Analysis: A Tutorial Survey," Complexity, Hindawi, vol. 2020, pages 1-12, October.
    • Handle: RePEc:hin:complx:1941636
    DOI: 10.1155/2020/1941636
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