Frequency domain descriptions of linear systems
This thesis begins by applying Lagrange interpolation to linear systems theory. More specifically, a stable, discrete time linear system, with transfer function G(z), is interpolated with an FIR transfer function at n equally spaced points around the unit circle. The L∞ error between the original system and the interpolation is bounded, the bound going to zero exponentially fast as n -> ∞. A similar result applies to unstable systems except that the interpolating function is a non-causal...[Show more]
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