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Finite-time stability and stabilization for time-varying systems

Chaos, Solitons & Fractals, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinyi He, Xiaodi Li, Juan J. Nieto
openaire   +1 more source

Finite time stability and stabilization

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
In 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.
W. Perruquetti, S. Drakunov
openaire   +1 more source

Input–output finite-time stabilization of linear systems with finite-time boundedness

ISA Transactions, 2014
The paper presents linear system Input-Output Finite-Time Stabilization (IO-FTS) method under Finite-Time Boundedness (FTB) constraint. A state feedback controller is designed, via Linear Matrix Inequalities (LMIs), to guarantee the system both IO-FTS and FTB.
Yang, Guo   +5 more
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Finite-time stability and finite-time synchronization of neural network – Dual approach

Journal of the Franklin Institute, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michalak, Anna, Nowakowski, Andrzej
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Finite-Time Stability and Stabilization of Polynomial Systems

2023 American Control Conference (ACC), 2023
In 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 of switched nonlinear time‐delay systems

International Journal of Robust and Nonlinear Control, 2020
SummaryThis article addresses the problem of finite‐time stability (FTS) and finite‐time contractive stability (FTCS) for switched nonlinear time‐delay systems (SNTDSs). By virtues of the Lyapunov‐Razumikhin method, Lyapunov functionals approach, and the comparison principle technique, we obtain some improved Razumikhin‐type theorems that verify FTS ...
Zhichuang Wang   +3 more
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Stochastic finite-time partial stability, partial-state stabilization, and finite-time optimal feedback control

Mathematics of Control, Signals, and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajpurohit, Tanmay, Haddad, Wassim M.
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Finite time stabilization of delayed neural networks

Neural Networks, 2015
In this paper, the problem of finite time stabilization for a class of delayed neural networks (DNNs) is investigated. The general conditions on the feedback control law are provided to ensure the finite time stabilization of DNNs. Then some specific conditions are derived by designing two different controllers which include the delay-dependent and ...
Wang, Leimin, Shen, Yi, Ding, Zhixia
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Finite-time stability of discrete-time systems

Proceedings of the 2004 American Control Conference, 2004
We deal with some finite-time control problems for discrete-time linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov equation (or inequality).
Amato, F.   +3 more
openaire   +3 more sources

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