Feedback semiglobal stabilization to trajectories for the Kuramoto–Sivashinsky equation
نویسندگان
چکیده
Abstract It is shown that an oblique projection-based feedback control able to stabilize the state of Kuramoto–Sivashinsky equation, evolving in rectangular domains, a given time-dependent trajectory. The actuators consist finite number indicator functions supported small subdomains. Simulations are presented, one-dimensional case under periodic boundary conditions and two-dimensional Neumann conditions, showing stabilizing performance control.
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ژورنال
عنوان ژورنال: Ima Journal of Mathematical Control and Information
سال: 2023
ISSN: ['1471-6887', '0265-0754']
DOI: https://doi.org/10.1093/imamci/dnac033