This preview shows page 1. Sign up to view the full content.
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, secondorder, constantcoefficient 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) timeinvariant; (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...
View
Full
Document
This document was uploaded on 03/06/2014 for the course EE 341 at NMT.
 Fall '09
 Volt

Click to edit the document details