On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's
type: Item
instance of: scholarly article
title: On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's
zbMATH Open document ID: 1447.93318
author: Mohamed Sogoré
author: Chaker Jammazi
published in: Journal of Mathematical Analysis and Applications
publication date: 2020-07-03T00:00:00Z
Mathematics Subject Classification ID: 93D40
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 7217624
zbMATH Keywords: bilinear systems
zbMATH Keywords: global finite-time stability
zbMATH Keywords: bounded/unbounded operators
zbMATH Keywords: homogeneous feedbacks
zbMATH Keywords: Lyapunov function
zbMATH Keywords: PDE's
MaRDI profile type: Publication
full work available at URL: j.jmaa.2019.123815
OpenAlex ID: W2999214560
Wikidata QID: Q126330585
cites work: Fixed Point Theory for Lipschitzian-type Mappings with Applications
cites work: Homogeneous Approximation, Recursive Observer Design, and Output Feedback
cites work: Liapunov functions and stability in control theory
cites work: Feedback stabilization of distributed semilinear control systems
cites work: On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass
cites work: Stabilization and decay estimate for distributed bilinear systems
cites work: Stabilization of unbounded bilinear control systems in Hilbert space
cites work: Finite-Time Stability of Continuous Autonomous Systems
cites work: Geometric homogeneity with applications to finite-time stability
cites work: Bilinear optimal control of the velocity term in a Kirchhoff plate equation
cites work: Contrôle optimal bilinéaire d'une équation de Schrödinger
cites work: Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation
cites work: Exponential stabilization of a constrained bilinear system
cites work: On the Stabilization in Finite Time of Locally Controllable Systems by Means of Continuous Time-Varying Feedback Law
cites work: Q3437336
cites work: Rapid stabilization of a linearized bilinear 1-D Schrödinger equation
cites work: Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: Smooth bump functions and the geometry of Banach spaces. A brief survey
cites work: Q3496258
cites work: Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties
cites work: Global finite-time stabilization of a class of uncertain nonlinear systems
cites work: Continuous and Discontinuous Homogeneous Feedbacks Finite-Time Partially Stabilizing Controllable Multichained Systems
cites work: Some results on finite-time stabilizability: application to triangular control systems
cites work: Controllability of linearized systems implies local finite-time stabilizability: applications to finite-time attitude control
cites work: On the global polynomial stabilization of nonlinear dynamical systems
cites work: Nonlinear semigroups and evolution equations
cites work: Q3483147
cites work: Q4851730
cites work: Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
cites work: Stability and Stabilization of Homogeneous Systems Depending on a Parameter
cites work: Stabilization with decay estimate for a class of distributed bilinear systems
cites work: Strong stabilization with decay estimate of semilinear systems
cites work: Stabilisation of infinite-dimensional bilinear systems using a quadratic feedback control
cites work: Exponential and Weak Stabilization of Constrained Bilinear Systems
cites work: Exponential stabilization of distributed semilinear systems by optimal control
cites work: Partial stabilisation of semilinear systems using bounded controls
cites work: Weak and strong stabilisation of bilinear systems in a Banach space
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space
cites work: On Homogeneous Distributed Parameter Systems
cites work: Stabilization of bilinear systems by quadratic feedback controls
cites work: Q3990594
cites work: Regional gradient stabilization of semilinear distributed systems
cites work: Output stabilization of distributed bilinear systems
DOI: 10.1016/J.JMAA.2019.123815
description: scientific article; zbMATH DE number 7217624