On the finite-time stabilization of some hyperbolic control systems by boundary feedback laws: Lyapunov approach

DOI10.1090/conm/757/15244zbMath1458.93222OpenAlexW3100394054MaRDI QIDQ4965238

Ghada Ben Belgacem, Chaker Jammazi

Publication date: 26 February 2021

Published in: Identification and Control: Some New Challenges (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/757/15244

zbMATH Keywords

wave equationtransport equationstringsfinite-time stabilizationpoint massboundary feedback laws

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Wave equation (35L05) Finite-time stability (93D40)

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Cites Work

• Finite-time stabilization of a network of strings
• Stability and boundary stabilization of 1-D hyperbolic systems
• Phantom tracking method, homogeneity and rapid stabilization
• On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping
• Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
• Robust null controllability for heat equations with unknown switching control mode
• Switching control
• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases
• The effect of boundary damping for the quasilinear wave equation
• Boundary feedback control in networks of open channels.
• Finite-time stabilization and stabilizability of a class of controllable systems
• A robust \(\delta\)-persistently exciting controller for leader-follower tracking-agreement of multiple vehicles
• On the global polynomial stabilization of nonlinear dynamical systems
• Numerical approximation of hyperbolic systems of conservation laws
• Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
• On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
• Control of systems of conservation laws with boundary errors
• Finite-time stabilization of an overhead crane with a flexible cable
• UGAS of skew-symmetric time-varying systems: application to stabilization of chained form systems
• Global finite-time stabilization of a class of uncertain nonlinear systems
• Geometric homogeneity with applications to finite-time stability
• On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass
• High frequency asymptotic analysis of a string with rapidly oscillating density
• Stabilization of Two-Dimensional Persistently Excited Linear Control Systems with Arbitrary Rate of Convergence
• A discussion on the Hölder and robust finite-time partial stabilizability of Brockett’s integrator
• Tracking Control of the Uncertain Heat and Wave Equation via Power-Fractional and Sliding-Mode Techniques
• Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation
• On Stability of Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries
• Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
• Finite Time Controllers
• Tracking control of a vibrating string with an interior mass viewed as delay system
• Continuous finite-time stabilization of the translational and rotational double integrators
• Exponential Stability and Transfer Functions of Processes Governed by Symmetric Hyperbolic Systems
• On the Modelling and Stabilization of Flows in Networks of Open Canals
• On an output feedback finite-time stabilization problem
• Some results on finite-time stabilizability: application to triangular control systems
• Feedback Stabilization and Boundary Controllability of the Korteweg--de Vries Equation on a Star-Shaped Network
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Fourier Series in Control Theory
• On the Stabilization in Finite Time of Locally Controllable Systems by Means of Continuous Time-Varying Feedback Law
• Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
• Finite-Time Stability of Continuous Autonomous Systems
• Distributed tracking control of the Schrödinger equation with internal disturbance
• Stability and Stabilization of Homogeneous Systems Depending on a Parameter
• Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm
• Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties
• A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
• Finite-Time Stabilization of $2\times2$ Hyperbolic Systems on Tree-Shaped Networks
• Continuous and Discontinuous Homogeneous Feedbacks Finite-Time Partially Stabilizing Controllable Multichained Systems
• Simultaneous control problems for systems of elastic strings and beams
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