Delay-adaptive control of first-order hyperbolic PIDEs
We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-
differential equations (PIDEs) with an unknown input delay. By employing a transport PDE to …
differential equations (PIDEs) with an unknown input delay. By employing a transport PDE to …
Neural operators for delay-compensating control of hyperbolic PIDEs
The recently introduced DeepONet operator-learning framework for PDE control is extended
from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class …
from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class …
Neural operators for PDE backstepping control of first-order hyperbolic PIDE with recycle and delay
The recently introduced DeepONet operator-learning framework for PDE control is extended
from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class …
from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class …
Delay‐adaptive control of first‐order hyperbolic partial integro‐differential equations
We develop a delay‐adaptive controller for a class of first‐order hyperbolic partial integro‐
differential equations with an unknown input delay. By employing a transport PDE to …
differential equations with an unknown input delay. By employing a transport PDE to …
Delay-compensated distributed PDE control of traffic with connected/automated vehicles
We develop an input delay-compensating design for stabilization of an Aw–Rascle–Zhang
(ARZ) traffic model in congested regime, which is governed by a first-order hyperbolic …
(ARZ) traffic model in congested regime, which is governed by a first-order hyperbolic …
Delay-adaptive boundary control of coupled hyperbolic PDE-ODE cascade systems
This paper presents a delay-adaptive boundary control scheme for a 2× 2 coupled linear
hyperbolic PDE-ODE cascade system with an unknown and arbitrarily long input delay. To …
hyperbolic PDE-ODE cascade system with an unknown and arbitrarily long input delay. To …
Output regulation for a first-order hyperbolic PIDE with state and sensor delays
Considering disturbances within domain and at the boundary, a backstepping-based output
boundary regulator design is developed for a class of first-order linear hyperbolic partial …
boundary regulator design is developed for a class of first-order linear hyperbolic partial …
Compensation of spatially-varying state delay for a first-order hyperbolic PIDE using boundary control
This paper develops a spatially-varying delay-compensated control for a first-order
hyperbolic partial integro differential equation (PIDE). By introducing a 2-dimensional (2-D) …
hyperbolic partial integro differential equation (PIDE). By introducing a 2-dimensional (2-D) …
Observer design for an infectious disease PDE model considering reinfection
H Sano, T Kuniya - Automatica, 2023 - Elsevier
This paper is concerned with the observer design problem for a system composed of two
Kermack–McKendrick equations considering reinfection. The system is described by two first …
Kermack–McKendrick equations considering reinfection. The system is described by two first …
Robustness of output feedback control for a wave-ODE cascaded system to the input delay mismatch
X Feng, Z Zhang, Y Zou - Evolution Equations and Control Theory, 2024 - aimsciences.org
This paper investigates the robustness of output feedback control to the input delay
mismatch for a wave-ODE cascaded system with the timevarying input and output delays …
mismatch for a wave-ODE cascaded system with the timevarying input and output delays …