Homework2_ solutions

System is not memoryless the output yt as t t0 is 1 e

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Unformatted text preview: is not memoryless The output y(t) as t =t0 is = 1 − − (e) causal System is causal since it only depends on previous inputs. (f) invertible = The system is invertible 1 + 1+ 2 2 (g) stable. The system is BIBO stable since a bounded input will always produce a bounded output. 2.5 Eq. (2.16) describes a linear, second-order, constant-coefficient differential equation used to model a mechanical spring damper system. (i) By expressing Eq. (2.16) in the following form: + + = 1 Determine the values of ωn and Q in terms of mass M, damping factor r, and the spring constant k. (ii) The variable ωn denotes the natural frequency of the spring damper system. Show that the natural frequency ωn can be increased by increasing the value of the spring constant k or by decreasing the mass M. (iii) Determine whether the system is (a) Linear, (b) time-invariant; (c) memoryless; (d) causal, (e) invertible, and (f) stable. (i) By expressing Eq. (2.16) in the following form: EE 341 Fall 2012 + + = 1 Determine the values of ωn and Q in terms of mass M, damping factor r, and the spring constant k. + + Comparing...
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This document was uploaded on 03/06/2014 for the course EE 341 at NMT.

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