The Stefan PDE system is a representative model for thermal phase change phenomena,
such as melting and solidification, arising in numerous science and engineering processes …

In this paper, an impulsive adaptive observer is proposed for online estimates of a class of
hybrid cascade systems with uncertain parameters. The hybrid cascade system is formed by …

We present designs for exponential stabilization of an ordinary differential equation (ODE)-
heat partial differential equation (PDE)-ODE coupled system where the control actuation …

We consider the problem of state observer design for wave PDEs containing Lipschitz
nonlinearities in the domain and parameter uncertainties in the domain and at the …

In this paper, the problem of simultaneous state and parameter estimation is studied for a
class of uncertain nonlinear systems. A nonlinear adaptive sliding‐mode observer is …

This study is concerned with observer design and observer‐based output feedback control
for a fractional reaction diffusion (FRD) system with a spatially‐varying (non‐constant) …

In this article, we consider the problem of observer design for heat diffusion–reaction partial
differential equations (PDEs) that are monitored through delayed boundary sensor …

We present an adaptive event-triggered boundary control scheme for a parabolic partial
differential equation–ordinary differential equation (PDE–ODE) system, where the reaction …

This paper focuses on establishing an adaptive boundary observer for fully coupled reaction-
diffusions partial differential equations (PDEs) containing unknown parameters. Firstly, the …

This paper is concerned with the problem of boundary observer-based finite-time output
feedback control for a heat system with Neumann boundary condition and Dirichlet …