Exact null controllability of KdV-Burgers equation with memory effect systems

DOI10.1155/2012/531659zbMath1256.49008OpenAlexW2049762384WikidataQ58695434 ScholiaQ58695434MaRDI QIDQ1938230

Kil To Chong, Rajagounder Ravi Kumar, Jong Ho Park

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/531659

Mathematics Subject Classification ID

Controllability (93B05) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

A generalized KdV equation of neglecting the highest-order infinitesimal term and its exact traveling wave solutions ⋮ Exact solutions of a high-order nonlinear wave equation of Korteweg-de Vries type under newly solvable conditions

Cites Work

• Global asymptotic stabilization for controllable systems without drift
• An extremal rearrangement property of statistical solutions of Burgers' equation
• Hyperbolic asymptotics in Burgers' turbulence and extremal processes
• Robust stabilization the Korteweg-de Vries-Burgers equation by boundary control
• Null controllability of the heat equation with boundary Fourier conditions: the linear case
• Asymptotic properties of Burgers turbulence
• Exact Boundary Controllability for the Linear Korteweg--de Vries Equation on the Half-Line
• Exact controllability and stabilizability of the Korteweg-de Vries equation
• Controllability of the heat equation with memory
• The cost of approximate controllability for heat equations: The linear case
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