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- W1856373219 abstract "Linearized complex Ginzburg-Landau equation models various physical phenomena and the stability controls of them are important. In this paper, we study the control of the LCGLE with a simultaneously space and time dependent coefficient by transforming it into a complex heat equation. It is shown that under certain conditions on the coefficient functions $a_2(tilde{x},tilde{t})$, the exponential stability of the system at any rate can be achieved by boundary control based on the state feedback. The kernels are {it explicitly} calculated as series of approximation and shown to be twice differentiable by using the {it method of dominant}. Both the exponential stabilities of the systems with Dirichlet and Neumann boundary conditions are strictly proven." @default.
- W1856373219 created "2016-06-24" @default.
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- W1856373219 date "2006-10-07" @default.
- W1856373219 modified "2023-09-27" @default.
- W1856373219 title "Boundary Feedback Control of Complex Ginzburg-Landau Equation with A Simultaneously Space and Time Dependent Coefficient" @default.
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- W1856373219 hasPublicationYear "2006" @default.
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