Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems

الملخص EN

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.