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Fredholm Transform and Local Rapid Stabilization for a KdV Equation
澳门新葡8455最新网站:2014年05月06日 00:00 点击数:

报告人:吕琦

报告地点:澳门新葡8455最新网站105室

报告澳门新葡8455最新网站:2014年05月12日星期一16:00-17:00

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We consider the rapid exponential stabilization problem for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet boundary conditions and Neumann boundary control at the right endpoint of the interval. For every noncritical length, we build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach relies on the construction of a suitable integral transform and can be applied to many other equations.

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