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2.5 Vector Spaces, Norms, and Inner Products                  47

            1.
            2.
            3.


            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.
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