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2.5 Vector Spaces, Norms, and Inner Products 47
1.
2.
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EXAMPLE 2.5–8: System Norms
1. Consider the system
so that the impulse response is
(1)
Note that H(s) is BIBO stable. Then
2. Consider the system
where k v and k p are positive constants. The system is therefore BIBO stable.
Then
where e=2.7183 is the base of natural logarithms.
Copyright © 2004 by Marcel Dekker, Inc.