Representation of Feedback Operators for Hyperbolic Systems.
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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We consider the problem of obtaining integral representation of feedback operators for damped hyperbolic control systems. We show that for the wave equation with ICelvin-Voigt damping and non-compact input operator, the feedback gain operator is Hilbert-Schmidt. This result is then used to provide an explicit integral representation for the feedback operator in terms of functional gains. Numerical results are given to illustrate the role that damping plays in the smoothness of these gains. AN
- Numerical Mathematics
- Operations Research