exact null controllability of kdv-burgers equation with memory effect systems
;Rajagounder Ravi Kumar;Kil To Chong;Jong Ho Park
science and technology of advanced materials2012Vol. 2012pp. -
99
kumar2012abstractexact
Abstract
This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman
estimates. The control is distributed along with subdomain ω⊂Ω and the external
control acts on the key role of observability inequality with memory. This description
finally showed the exact null controllability guaranteeing the stability.