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

Rajagounder Ravi Kumar, Kil To Chong and Jong Ho Park

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/531659

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:531659

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