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Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
SIAM Journal on Control and Optimization, 2010This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems.
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Finite-time stability and finite-time boundedness of fractional order linear systems
Neurocomputing, 2016In this paper, the finite-time stability (FTS) and the finite-time boundedness (FTB) for the fractional order linear time invariant (LTI) systems with 0 < α < 1 are studied. First, some conditions to guarantee the FTS and the FTB for a class of fractional order LTI systems are derived by combining a new property for Caputo fractional derivatives, the ...
Baowei Wu, Yue-E Wang
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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
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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.
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