This paper studies the problem of adaptive backstepping control with full state triggering for
a class of parametric uncertain nonlinear systems. The use of triggering mechanism …

Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …

This paper addresses the problem of input-to-state stabilization for heat equation with
external input via boundary control strategy. Following Polyakov et al., 2017, based on the …

This paper provides observer-based sampled-data and event-triggered boundary control
strategies for a class of reaction–diffusion PDEs with collocated sensing and Robin …

The distributed consensus is considered for multi-agent systems (MASs), which
characterized by fractional reaction–diffusion partial differential equations (RDPDEs) in this …

This article addresses the event‐triggered stabilization for large‐scale interconnected
systems in presence of time delays. Two types of event‐triggering mechanisms (static event …

This paper is concerned with the exponential consensus issue for multi-agent systems
(MASs) of impulsive partial differential equations (PDEs) with switching topology. A new …

In liquid-solid phase change phenomena, the Stefan problem describes the time evolution of
the material's temperature profile and the interface position. This paper presents an event …

This article introduces the first observer-based periodic event-triggered control (PETC) and
self-triggered control (STC) for boundary control of a class of parabolic partial differential …

The aim of this article is to propose an observer-based event-triggered Robin boundary
control strategy for the exponential stabilization of the coupled semilinear reaction–diffusion …