A unified controllability/observability theory for some stochastic and deterministic partial differential equations
Optimization and Control
2010-03-31 v1
Abstract
The purpose of this paper is to present a universal approach to the study of controllability/observability problems for infinite dimensional systems governed by some stochastic/deterministic partial differential equations. The crucial analytic tool is a class of fundamental weighted identities for stochastic/deterministic partial differential operators, via which one can derive the desired global Carleman estimates. This method can also give a unified treatment of the stabilization, global unique continuation, and inverse problems for some stochastic/deterministic partial differential equations.
Cite
@article{arxiv.1003.5819,
title = {A unified controllability/observability theory for some stochastic and deterministic partial differential equations},
author = {Xu Zhang},
journal= {arXiv preprint arXiv:1003.5819},
year = {2010}
}
Comments
25 pages