We design an adaptive full-state feedback controller to stabilize a one-dimensional reaction–
diffusion equation with unknown boundary input delay. An infinite-dimensional …

In this article, a decentralized adaptive control strategy is proposed for a class of large-scale
nonlinear systems with interconnections. Each subsystem contains multiple state delays …

This paper addresses the boundary output feedback stabilisation of a general class of 1-D
reaction–diffusion PDEs with delayed boundary measurement. The output takes the form of …

Deep neural networks that approximate nonlinear function-to-function mappings, ie,
operators, which are called DeepONet, have been demonstrated in recent articles to be …

A backstepping-based compensator design is developed for a system of 2× 2 first-order
linear hyperbolic partial differential equations (PDE) in the presence of an uncertain long …

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 …

In this paper, a delay compensation design method based on PDE backstepping is
developed for a two-dimensional reaction–diffusion partial differential equation (PDE) with …

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) …

A neuro adaptive control for deploying a partial differential equation-based multi-agent
system in 3D space with a non-collocated observer is proposed in this study. Since the full …

The robust exponential stabilization is addressed for uncertain delay reaction-diffusion
systems (UDRDSs) via sliding mode boundary control (SMBC). Firstly, a novel integral …