Finite-time stabilization of some classes of infinite dimensional systems

DOI10.1007/978-3-031-35675-9_10MaRDI QIDQ6608534

Unnamed Author, Mohamed Ouzahra

Publication date: 20 September 2024

zbMATH Keywords

maximal monotone operatorslinear systemsbilinear systemsfinite-time stabilization

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Hyperbolic equations and hyperbolic systems (35L99) Parabolic equations and parabolic systems (35K99) Finite-time stability (93D40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and boundary stabilization of 1-D hyperbolic systems
• Controllability of partial differential equations governed by multiplicative controls
• Stabilization of unbounded bilinear control systems in Hilbert space
• On the asymptotic behavior of semigroups of nonlinear contractions in Hilbert space
• Infinite dimensional linear systems theory
• Feedback stabilization of distributed semilinear control systems
• Finite-time partial stability and stabilization, and optimal feedback control
• Time-varying feedback for regulation of normal-form nonlinear systems in \textit{prescribed} finite time
• Controllability and stabilization of parabolic equations
• Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems
• Feedback stabilization for a bilinear control system under weak observability inequalities
• Finite-time control for the bilinear heat equation
• Feedback stabilization of linear and bilinear unbounded systems in Banach space
• Finite-time internal stabilization of a linear 1-D transport equation
• Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
• On finite stability in control systems
• On a sufficient condition for finite-time partial stability and stabilization: applications
• Stabilizability of Finite- and Infinite-Dimensional Bilinear Systems
• Feedback stabilization for a class of distributed semilinear control systems
• Exact controllability of second-order hyperbolic equations with impulse controls
• On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space
• A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
• Finite-Time Stability of Continuous Autonomous Systems
• Exponential Stabilization of Unstable Bilinear Systems in Finite- and Infinite-Dimensional Spaces
• Prescribed-Time Observers for Linear Systems in Observer Canonical Form
• Continuous and Discontinuous Homogeneous Feedbacks Finite-Time Partially Stabilizing Controllable Multichained Systems
• Generalized Homogeneity in Systems and Control

This page was built for publication: Finite-time stabilization of some classes of infinite dimensional systems