Finite time stability and stabilization of a class of continuous systems

By Emmanuel Moulay, Wilfrid Perruquetti. 2006

520 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/de67e874215e7cc1e288f4169a039e806eef42d1

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In Control and Systems Engineering

Citations in the corpus

Oscillations Conditions in Homogenous Systems (2010, unknown): “, 2008; Bacciotti and Rosier, 2001; Hermes, 1991a; 1991b; Rosier, 1992), systems approximation (Hermes, 1991a), stabilization (Bhat and Bernstein, 2005; Grüne, 2000; Kawski, 1991; Moulay and Perruquetti, 2006; Sepulchre and Aeyels, 1996), and observation (Andrieu, et al.”
Linear matrix inequalities design approach for robust stabilization of uncertain nonlinear systems with perturbation based on optimally-tuned global sliding mode control (2017, background): “A continuous positive definite function VðtÞ is assumed to satisfy the following differential inequality (Moulay and Peruquetti, 2006; Mobayen, 2015b): _VðtÞ VðtÞ ’V ðtÞ 8t t0, Vðt0Þ 0 ð4Þ where and are positive coefficients, and with the condition 14 4 0 is a fraction of two odd positive integer…”
Robust stabilization of MIMO systems in finite/fixed time (2016, background): “Finite-time stabilization [1], [4], [7] is important if the transition time of the control system has to be specified in advance, for example, control of walking robot in between two impacts or the robot catching a “flying” ball.”
Finite-time stability and instability of stochastic nonlinear systems (2011, background): “…and developed for various types of nonlinear systems over the last two decades (see, Hong, Huang, & Yu, 2001; Hong, Wang, & Cheng, 2006; Huang, Lin, & Yang, 2005; Jiang & Mareels, 1997; Moulay & Perruquetti, 2006, 2008; Wu, Yu, & Man, 1998; Yu & Man, 2002; Yu, Yu, Shirinzadeh, & Man, 2005).”
Adaptive Sliding Mode Disturbance Observer-Based Composite Control With Prescribed Performance of Space Manipulators for Target Capturing (2019, background): “According to [39], it can be concluded that the sliding variable”
Finite-Time Observers: Application to Secure Communication (2008, background): “The interested reader can find more details on finite time stability in [29], [30], [31], [32], [33], [34].”
Adaptive finite-time tracking control of uncertain non-linear n-order systems with unmatched uncertainties (2016, unknown): “Lemma 1 [40]: Let a C1 (continuously differentiable) positivedefinite function V(t), real numbers α, β > 0 and 0 < η < 1.”
Finite-time stability and stabilization of time-delay systems (2008, methodology): “As it may appear not easily usable in practice, we show how to obtain finite-time stabilization of linear systems with delays in the input by using an extension of Artstein’s model reduction to nonlinear feedback.”
Stability analysis for a second-order continuous finite-time control system subject to a disturbance (2009, background): “In recent works [5, 6, 13 ], finite-time Lyapunov stability results have been presented.”