National Instruments Xmath Unstable System Approximation

Chapter 2 Additive Error Reduction
© National Instruments Corporation 2-23 Xmath Model Reduction Module
It follows by a result of [BoD87] that the impulse response error for t>0
satisfies:
Evidently, Hankel norm approximation ensures some form of
approximation of the impulse response too.
Unstable System Approximation
A transfer function G(s) with stable and unstable poles can be reduced by
applying stable( ) to separate G(s) into a stable and unstable part. The
former is reduced and then the unstable part can be added back on. For
additional information about the ophank( ) function, refer to the Xmath
Help.
Related Functions
stable(), redschur(), balmoore()
gt() grt()–122i2–r+()σ
iG() σ jG()
ir+
ns
∑
+≤