exact null controllability of kdv-burgers equation with memory effect systems

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 materials 2012 Vol. 2012 pp. -
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.

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ID: 172038
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172038
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10.1155/2012/531659
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