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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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Finite-time stability and instability of stochastic nonlinear systems [PDF]
Automatica, 2011 Finite-time stability and instability of stochastic nonlinear ...
Juliang Yin, Xinghuo Yu, Zhihong Man
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Finite-Time Stability and Control [PDF]
, 2014 Finite-time stability (FTS) is a more practical concept than classical Lyapunov stability, useful for checking whether the state trajectories of a system remain within pre-specified bounds over a finite time interval.
F. Amato +4 more
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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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On the Continuous Finite-Time Stabilization of the Double Integrator
SIAM Journal on Control and Optimization, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arturo Zavala-Río +2 more
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Finite time stability of nonlinear systems
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004Finite time stability is defined for non autonomous non linear systems. Starting with the proof of an old result from Haimo which gives necessary and sufficient condition for autonomous scalar systems, then we extend this result to n-dimensional systems through the use of Liapunov functions and (here the obtained results are less restrictives).
Emmanuel Moulay, Wilfrid Perruquetti
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Finite-time stability and stabilization for time-varying systems
Chaos, Solitons & Fractals, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinyi He, Xiaodi Li, Juan J. Nieto
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2006 American Control Conference, 2006
This paper introduces a finite-time stability concept for nonlinear systems and the corresponding notion of stabilizability of controls. The concept generalizes previous finite-time stability as it requires that the state trajectory satisfies a given bound at some time instant in a certain interval, whereas previous notions considers that the system ...
Eduardo F. Costa, João B. R. do Val
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This paper introduces a finite-time stability concept for nonlinear systems and the corresponding notion of stabilizability of controls. The concept generalizes previous finite-time stability as it requires that the state trajectory satisfies a given bound at some time instant in a certain interval, whereas previous notions considers that the system ...
Eduardo F. Costa, João B. R. do Val
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Finite-time stability and stabilization of switched linear systems
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009In this paper, finite-time stability and stabilization problems for switched linear systems are discussed. Firstly, the concept of finite-time stability is extended to switched linear systems. Then, based on the state transition matrix of the system, a necessary and sufficient condition for finite-time stability of switched linear systems is presented.
Haibo Du, Xiangze Lin, Shihua Li 0001
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Finite-time stability and finite-time synchronization of neural network – Dual approach
Journal of the Franklin Institute, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anna Michalak, Andrzej Nowakowski
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