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 …

Using the resolvent operator, we develop an algorithm for computing smoothed
approximations of spectral measures associated with self-adjoint operators. The algorithm …

This comprehensive introduction to functional analysis covers both the abstract theory and
applications to spectral theory, the theory of partial differential equations, and quantum …

Spectral measures arise in numerous applications such as quantum mechanics, signal
processing, resonance phenomena, and fluid stability analysis. Similarly, spectral …

The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …

We consider a stochastic nonlinear Schrödinger equation with multiplicative noise in an
abstract framework that covers subcritical focusing and defocusing Stochastic NLSE in H^ 1 …

We prove new characterisations of exponential stability for positive linear discrete-time
systems in ordered Banach spaces, in terms of small-gain conditions. Such conditions have …

Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐
Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple …

In this paper we study the local wellposedness of the solution to a non-linear parabolic-
dispersive coupled system which models a Micro-Electro-Mechanical System (MEMS). A …

Since the pioneering works of Ampère, Faraday, and Maxwell in the early days,
electromagnetism has become a fascinating area of physics, engineering, and mathematics …