Abstract
We consider calculating finite-dimensional approximations of a class of infinite-dimensional linear systems via modal approximation. An H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> error bound for modal approximation is derived and an inverse power method for finding eigenvalues and eigenfunctions of linear operators arising from distributed parameter linear systems is developed. The inverse power algorithm applies to systems that do not have closed-form eigenvalues and eigenfunctions. The error bound and inverse power method are applied to a heat equation system with spatially varying parameters in order to compute a finite-dimensional transfer function and associated H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> error bound.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call