On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach [PDF]
, 2016 International audienceGeneralized monotone dilation in a Banach space is introduced. Classical theorems on existence and uniqueness of solutions of nonlinear evolution equations are revised.
Coron, Jean-Michel +2 more
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On the Finite Time Stabilization Via Robust Control for Uncertain Disturbed Systems
International Journal of Applied Mathematics and Computer Science, 2023 This paper deals with the finite-time stabilization problem for a class of uncertain disturbed systems using linear robust control. The proposed algorithm is designed to provide the robustness of a linear feedback control scheme such that system ...
Ordaz Patricio +3 more
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Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements [PDF]
, 2019 In this paper we consider inf-sup stable nite element discretizations of the evolutionary Boussinesq equations with a grad-div type stabilization. We prove error bounds for the method with constants independent on the Rayleigh numbersMINECO grant ...
Frutos Baraja, Francisco Javier de +2 more
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Finite‐time attitude stabilization of rigid spacecrafts based on control Lyapunov functions
IET Control Theory & Applications, 2022 In this paper, the control Lyapunov function (CLF) approach is adopted to investigate the finite‐time attitude control of rigid spacecraft subject to parameter uncertainty and external disturbance.
Yu‐Yao Wu, Ying Zhang, Ai‐Guo Wu
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Nonlinear Analysis, 2021 This article aims to study a class of discontinuous fuzzy inertial Cohen–Grossberg neural networks (DFICGNNs) with discrete and distributed time-delays.
Fanchao Kong +2 more
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Stability and Monotonicity for Some Discretizations of the Biot's Model
, 2015 We consider finite element discretizations of the Biot's consolidation model in poroelasticity with MINI and stabilized P1-P1 elements. We analyze the convergence of the fully discrete model based on spatial discretization with these types of finite ...
Gaspar, Francisco +3 more
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Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems
Abstract and Applied Analysis, 2013 This paper further investigates the problem of finite-time state feedback stabilization for a class of stochastic nonholonomic systems in chained form.
Fangzheng Gao +3 more
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Explicit approximate controllability of the Schr\"odinger equation with a polarizability term
, 2012 We consider a controlled Schr\"odinger equation with a dipolar and a polarizability term, used when the dipolar approximation is not valid. The control is the amplitude of the external electric field, it acts non linearly on the state.
CM Dion +11 more
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A FIC-based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems [PDF]
, 2017 This is the peer reviewed version of the following article: [de-Pouplana, I., and Oñate, E. (2017) A FIC-based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems. Int. J. Numer. Anal.
Oñate Ibáñez de Navarra, Eugenio +1 more
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Finite-Time Annular Domain Stability and Stabilization of Regime-Switching Jump Diffusion System
IEEE AccessIn this paper, the finite-time annular domain stability and stabilization of regime-switching jump diffusion system are discussed. With the help of explicit solution of multi-dimensional regime-switching jump diffusion system, we give the sufficient and ...
Ran Ni, Gui-Hua Zhao
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