In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …

In recent years, theoretical and practical research on event-based communication strategies
has gained considerable research attention due primarily to their irreplaceable superiority in …

This paper deals with an event-triggered boundary control of constant-parameters reaction–
diffusion PDE systems. The approach relies on the emulation of backstepping control along …

Event-triggered control is a most popular paradigm for transferring feedback information in
an economical “as needed” manner. The study of event-triggered control can be traced back …

Motivated by vibration control of a mining cable elevator avoiding frequent actions of a
massive actuator, which is a hydraulic cylinder driving a head sheave, we present an event …

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We consider delayed boundary stabilization of a one-dimensional reaction-diffusion
equation under boundary delayed measurements. We design an observer-based control …

In this paper, we present delay-compensated event-triggered boundary control of
heterodirectional coupled hyperbolic PDE–ODE systems, with the purpose of employing a …

This book explores the development of PDE (partial differential equation) backstepping
controllers for the suppression of stop-and-go instabilities and oscillations in congested …

Motivated by lateral vibration suppression of a mining cable elevator, which is a load-moving
cable system, where the load moves along a viscoelastic guideway whose stiffness and …