This chapter reviews the challenges for the extension of the Input-to-State Stability (ISS)
property for systems described by Partial Differential Equations (PDEs). The methodologies …

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 …

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We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this
class the significance of noncoercive Lyapunov functions is analyzed. It is shown that the …

The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …

In this work, we consider impulsive dynamical systems evolving on an infinite-dimensional
space and subjected to external perturbations. We look for stability conditions that guarantee …

Input-to-state stability (ISS) for systems described by partial differential equations has seen
intensified research activity recently, and in particular the class of boundary control systems …

We introduce here a novel under-actuated mechanical system motivated by recent
advances in soft robotics. We derive its governing equations, discuss its properties, and …

This paper studies the input-to-state stability (ISS) properties for a class of semi-linear
parabolic partial differential equations (PDEs) with respect to boundary disturbances. In …