December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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9.4 NON-UNIQUENESS OF THE STATE MODEL
The state model of any system is not unique. Alternate representations are possible for any given system. Let us consider a state model of a system as given below.
y = Cx + Du (9.11)
Let the transformation be
x = Mz (9.12)
where M is a non-singular constant matrix.
∴ Using Eq. (9.12), Eq. (9.10) can be written as
Using Eq. (9.12), Eq. (9.11) can be written as:
y = CMz +
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