Article ID Journal Published Year Pages File Type
4621630 Journal of Mathematical Analysis and Applications 2008 8 Pages PDF
Abstract

For (coupled systems of) partial differential equations for which nullcontrol is possible in arbitrarily short time, the ‘standard’ blowup rate for the control cost is exponential in 1/T. It is shown how to derive this rate for a variety of systems, including the thermoelastic system with control restricted to a small patch in the domain and to a single component (thermal, displacement, or velocity).

Related Topics
Physical Sciences and Engineering Mathematics Analysis