Output feedback stabilization for a wave-ODE cascade system with the time-varying input and output delay

DOI10.1007/s00025-022-01611-wzbMath1485.93446OpenAlexW4213238276MaRDI QIDQ2114978

Xiaodan Feng, Zhi-Fei Zhang

Publication date: 15 March 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01611-w

zbMATH Keywords

boundary controlbacksteppingexponential stabilizationtime-varying delays

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Wave equation (35L05) Control/observation systems governed by ordinary differential equations (93C15) Exponential stability (93D23)

Cites Work

• Unnamed Item
• Stabilization of the wave equation with interior input delay and mixed Neumann-Dirichlet boundary
• Approximate controllability of fractional differential equations with state-dependent delay
• Backstepping state feedback regulator design for an unstable reaction-diffusion PDE with long time delay
• Delay compensation for nonlinear, adaptive, and PDE systems
• Semigroups of linear operators and applications to partial differential equations
• Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control
• Static output feedback stabilization for a linear parabolic PDE system with time-varying delay via mobile collocated actuator/sensor pairs
• Delay-compensated control of sandwiched ODE-PDE-ODE hyperbolic systems for oil drilling and disaster relief
• Stabilization for infinite-dimensional linear systems with bounded control and time delayed observation
• Stabilization of reaction-diffusions PDE with delayed distributed actuation
• Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
• The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Boundary Feedback Stabilization of a Class of Coupled Hyperbolic Equations With Nonlocal Terms
• Neumann Boundary Stabilization of One-Dimensional Linear Parabolic Systems With Input Delay
• Delay compensated control of the Stefan problem and robustness to delay mismatch
• Fredholm Backstepping Control of Coupled Linear Parabolic PDEs With Input and Output Delays
• Cascade observers for output-feedback control under parametric uncertainties, disturbances and arbitrary sensor delays
• On the Extended Luenberger-Type Observer for Semilinear Distributed-Parameter Systems

This page was built for publication: Output feedback stabilization for a wave-ODE cascade system with the time-varying input and output delay