Pseudospectra of linear operators

LN Trefethen - SIAM review, 1997 - SIAM
If a matrix or linear operator A is far from normal, its eigenvalues or, more generally, its
spectrum may have little to do with its behavior as measured by quantities such as|| A n|| or …

Controllability and observability of partial differential equations: some results and open problems

E Zuazua - Handbook of differential equations: evolutionary …, 2007 - Elsevier
In this chapter we present some of the recent progresses done on the problem of
controllability of partial differential equations (PDE). Control problems for PDE arise in many …

[書籍][B] Semigroups for delay equations

A Bátkai, S Piazzera - 2005 - taylorfrancis.com
In most physical, chemical, biological and economic phenomena it is quite natural to
assume that the system not only depends on the present state but also on past occurrences …

A port-Hamiltonian approach to distributed parameter systems

JA Villegas - 2007 - research.utwente.nl
This thesis aims to provide a mathematical framework for the modeling and analysis of open
distributed parameter systems. From a mathematical point of view this thesis merges the …

Delay-dependent exponential stability of neutral stochastic delay systems

L Huang, X Mao - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems Page 1 IEEE
TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 54, NO. 1, JANUARY 2009 147 its resolvent …

[書籍][B] Asymptotic methods in the theory of plates with mixed boundary conditions

I Andrianov, J Awrejcewicz, V Danishevs' kyy… - 2014 - books.google.com
Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions
comprehensively covers the theoretical background of asymptotic approaches and their use …

Exponential stability of a class of boundary control systems

JA Villegas, H Zwart, Y Le Gorrec… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
We study a class of partial differential equations (with variable coefficients) on a one
dimensional spatial domain with control and observation at the boundary. For this class of …

Exact controllability to trajectories for semilinear heatequations with discontinuous diffusion coefficients

A Doubova, A Osses, JP Puel - ESAIM: Control, Optimisation and …, 2002 - cambridge.org
The results of this paper concern exact controllability to the trajectories for a coupled system
of semilinear heat equations. We have transmission conditions on the interface and Dirichlet …

Asymptotic behaviour of the solutions and optimal location of the actuator for the pointwise stabilization of a string

K Ammari, A Henrot, M Tucsnak - Asymptotic Analysis, 2001 - content.iospress.com
We study the large time behavior of the solutions of a homogenous string equation with a
homogenous Dirichlet boundary condition at the left end and a homogenous Neuman …

Finite-Time Stabilization of Hyperbolic Systems on Tree-Shaped Networks

V Perrollaz, L Rosier - SIAM Journal on Control and Optimization, 2014 - SIAM
We investigate the finite-time boundary stabilization of a one-dimensional first order
quasilinear hyperbolic system of diagonal form on 0, 1. The dynamics of both boundary …