Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
Author(s) -
Rajagounder Ravi Kumar,
Kil To Chong,
Jongho Park
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/531659
Subject(s) - controllability , observability , korteweg–de vries equation , mathematics , burgers' equation
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 Carlemanestimates. The control is distributed along with subdomain ω⊂Ω and the externalcontrol acts on the key role of observability inequality with memory. This descriptionfinally showed the exact null controllability guaranteeing the stability
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