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 …

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 deals with the establishment of Input-to-State Stability (ISS) estimates for infinite
dimensional systems with respect to both boundary and distributed disturbances. First, a …

This paper presents a unified framework for exponential stability analysis of linear stationary
systems with irrational transfer functions in the space of an arbitrary number of unknown …

This paper deals with the exponential input-to-state stabilization with respect to boundary
disturbances of a class of diagonal infinite-dimensional systems via delay boundary control …

In this paper, we introduce a weak maximum principle-based approach to input-to-state
stability (ISS) analysis for certain nonlinear partial differential equations (PDEs) with certain …

This paper introduces a novel method, namely the approximations of Lyapunov functionals,
for input-to-state stability (ISS) analysis of a class of higher dimensional nonlinear parabolic …

This paper presents a maximum principle-based approach in the establishment of ISS-like
estimates for a class of nonlinear parabolic partial differential equations (PDEs) with variable …

This paper presents a unified framework for robust stability analysis of linear stationary
systems with irrational transfer functions in the space of an arbitrary number of unknown …

This paper is concerned with the point torque boundary feedback stabilization of a damped
Euler-Bernoulli beam model in the presence of a time-varying state-delay. First, a finite …