Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg–de Vries–Burgers Equation

B. Chentouf, N. Smaoui and A. Alalabi

Complexity, 2020, vol. 2020, 1-18

Abstract:

In this paper, we study the nonlinear adaptive boundary control problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial domain is . Four different nonlinear adaptive control laws are designed for the MGKdVB equation without assuming the nullity of the physical parameters , , , and and depending whether these parameters are known or unknown. Then, using Lyapunov theory, the - global exponential stability of the solution is proven in each case. Finally, numerical simulations are presented to illustrate the developed control schemes.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:4574257

DOI: 10.1155/2020/4574257

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