𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Maximum Principle for Control Systems Described by Linear Parabolic Equations

✍ Scribed by H.O. Fattorini


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
166 KB
Volume
259
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


We prove a version of the maximum principle for linear parabolic distributed parameter systems that avoids some of the usual smoothness assumptions on the target.


πŸ“œ SIMILAR VOLUMES


The Controllability of Systems Governed
✍ Yanzhao Cao; Max Gunzburger; James Turner πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 199 KB

The main result of this paper is a new, weaker condition for the exact controllability of linear parabolic partial differential equations. The result is derived through an examination of a related optimal control problem. It is shown that if the terminal state belongs to the Sobolev space of functio

On the optimization of distributed param
✍ F. Gruyaert; C. M. Crowe πŸ“‚ Article πŸ“… 1974 πŸ› American Institute of Chemical Engineers 🌐 English βš– 683 KB

## Abstract A counterexample is given to the strong maximum principle for boundary control of a class of distributed parameter systems. The particular system deals with chemical reactors suffering catalyst decay and is in the class whose members are described by sets of first‐order partial differen

A posteriori error estimators for optima
✍ Chunguang Xiong; Yuan Li πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 139 KB

In this article, We analyze the h-version of the discontinuous Galerkin finite element method (DGFEM) for the distributed first-order linear hyperbolic optimal control problems. We derive a posteriori error estimators on general finite element meshes which are sharp in the mesh-width h. These error