Saturated boundary feedback control of quasi-linear hyperbolic balance laws with application to LWR traffic flow stabilization

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Exponential stability (93D23)

Cites Work

Stability and boundary stabilization of 1-D hyperbolic systems
Feedback boundary control of linear hyperbolic systems with relaxation
Control of \(2\times 2\) linear hyperbolic systems: backstepping-based trajectory generation and PI-based tracking
Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations
Semigroups of linear operators and applications to partial differential equations
Polynomial approach to the control of SISO periodic systems subject to input constraint.
Analysis and control of parabolic PDE systems with input constraints.
Emerging patterns in a hyperbolic model for locally interacting cell systems
Design of saturated boundary control for hyperbolic systems with in-domain disturbances
Adaptive boundary control of a flexible manipulator with input saturation
An optimisation approach for stability analysis and controller synthesis of linear hyperbolic systems
Wave Equation With Cone-Bounded Control Laws
Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
Local Proportional-Integral Boundary Feedback Stabilization for Quasilinear Hyperbolic Systems of Balance Laws
ℒ2-Stabilization of continuous-time linear systems with saturating actuators
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
Stability and Stabilization of Linear Systems with Saturating Actuators
Bilateral Boundary Control of Moving Shockwave in LWR Model of Congested Traffic
On boundary stability of inhomogeneous 2 × 2 1-D hyperbolic systems for the C¹ norm
Antiwindup design with guaranteed regions of stability: an LMI-based approach
Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance
Shock Waves on the Highway
Solving Hyperbolic PDEs in MATLAB
On kinematic waves II. A theory of traffic flow on long crowded roads
Nonlinear Differential Equations of Monotone Types in Banach Spaces
Exact boundary synchronization for a kind of first order hyperbolic system