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Finite-time stability and finite-time boundedness of fractional order switched systems
Transactions of the Institute of Measurement and Control, 2019Finite-time stability and finite-time boundedness of fractional order switched systems with [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems ...
Jinxia Liang +4 more
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Finite-Time Stability of Impulsive Switched Systems
IEEE Transactions on Automatic Control, 2023This article studies finite-time stability (FTS) of impulsive switched systems. Some sufficient criteria based on multiple Lyapunov functions coupled with dwell time condition are derived for ensuring the FTS property.
Taixiang Zhang, Xiaodi Li, Jinde Cao
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Finite-Time Stability and Stabilization of Polynomial Systems
2023 American Control Conference (ACC), 2023In this paper we consider the class of polynomial systems and we investigate on their finite-time stability properties. In this analysis, for the first time, finite-time stability is defined with respect to domains with polynomial bounds. A sufficient condition for finite-time stability is obtained, which can be solved recasting the feasibility problem
Tartaglione, Gaetano +2 more
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Lyapunov conditions for finite-time stability of time-varying time-delay systems
Automatica, 2019In this paper, we develop the Lyapunov–Razumikhin method to finite-time stability (FTS) and finite-time contractive stability (FTCS) of time-delay systems.
Xiaodi Li, Shiji Song
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New results on finite-time stability for fractional-order neural networks with proportional delay
Neurocomputing, 2021This paper investigates the finite-time stability for a class of fractional-order neural networks with proportional delay. By some analytic techniques, a generalized Gronwall integral inequality with proportional delay is established.
Zhanying Yang +3 more
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Finite-Time Stability of Nonlinear Impulsive Systems With Applications to Neural Networks
IEEE Transactions on Neural Networks and Learning Systems, 2021This article studies the problem of finite-time stability (FTS) and finite-time contractive stability (FTCS) for nonlinear impulsive systems, where the possibility of time delay in impulses is fully considered. Some sufficient conditions for FTS/FTCS are
Xueyan Yang, Xiaodi Li
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Geometric homogeneity with applications to finite-time stability
Mathematics of Control, Signals, and Systems, 2005Sanjay P Bhat
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Finite time stability and stabilization
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002In this paper, finite time stability and stabilization are investigated for systems described by ordinary differential equations (ODE) or differential inclusions: some sufficient conditions are given for scalar and n-dimensional cases. Then, a stabilization result for I/O linearizable systems is derived from these results.
Wilfried Perruquetti, Sergey V. Drakunov
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Uniform finite-time stability of nonlinear impulsive time-varying systems
, 2021Finite-time stability (FTS) problem of nonlinear impulsive time-varying systems is studied in this paper. Some improved Lyapunov theorems on uniform FTS including settling-time estimation are obtained based on a time-varying differential inequality, in ...
Qiang Xi, Zhanlue Liang, Xiaodi Li
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Fixed-time and finite-time stability of switched time-delay systems
International Journal of Control, 2021This paper investigates fixed-time and finite-time stability of switched nonlinear time-varying time-delay systems. It is shown that by assuming these kinds of stability for each subsystem in the family, the similar properties can be ensured for the ...
Junfeng Zhang, D. Efimov
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