This paper addresses the exponential input-to-state stabilization of an ODE cascaded with a
reaction–diffusion equation subject to disturbances appearing in all channels. By applying …

This paper considers the stabilization of the coupled wave systems with spatially-varying
coefficients. The authors design a state feedback controller by backstepping method. In …

This paper studies the leaderless consensus of the stochastic multi-agent systems based on
partial differential equations–ordinary differential equations (PDE-ODEs). Compared with …

The different types of optical soliton solutions are investigated for the 2-dimensional
nonlinear Schrödinger equation with an instantaneous Kerr nonlinearity. This equation …

We are concerned with the dynamic stabilization for a cascaded Euler–Bernoulli beam
(EBB) partial differential equation (PDE)–ordinary differential equation (ODE) system subject …

In this paper, we consider the output feedback exponential stabilization problem of ODE-
Schrödinger cascade systems with the external disturbance. We propose a new extended …

In this paper, we consider the output feedback stabilisation of a cascaded ODE-Heat system
with Dirichlet boundary interconnection with external disturbance flowing the control end, we …

We discuss the exponential stabilization for an Euler–Bernoulli beam (EBB) partial
differential equation (PDE)-ordinary differential equation (ODE) cascaded system with …

Aiming at the advantages in active safety control of in-wheel motor drive vehicles, the
classified decision-control-execution is proposed to the lane departure assistance system …

In this letter we deal with a class of open-loop unstable reaction-diffusion PDEs with
boundary control and Robin-type boundary conditions. A second-order sliding mode …