arXiv:1301.6594 Abstract | arXiv Analytics

arXiv:1301.6594 [math.OC]Abstract References Reviews Resources

Output feedback stabilization for a scalar conservation law with a nonlocal velocity

Published 2013-01-28Version 1

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semi-conductor production. By spectral analysis, we obtain a complete result on the exponential stabilization for the linearized control system. Moreover, by using a Lyapunov function approach, we also prove the exponential stabilization results for the nonlinear control system in certain cases.

Comments: 22 pages

Categories: math.OC, math.AP

Subjects: 35L65, 93C20, 93D15

Keywords: scalar conservation law, output feedback stabilization, nonlocal velocity, exponential stabilization results, lyapunov function approach

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