MATLAB CONTROL SYSTEM TOOLBOX 9 User's Guide Page 496

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isproper
11-106
11isproper
Purpose Test if an LTI model is proper
Syntax boo = isproper(sys)
Description isproper(sys) returns 1 (true) if the LTI model sys is proper and 0 ( f als e)
otherwise.
State- sp ace models are alw ays proper. SISO transfer functi ons or
zero-pole -gai n mod els are p rope r if the degree of their numerator i s l ess than
or equal to the degree of their denominator. MIMO transfer functions are
proper if all their SISO entries are proper.
Example The following commands
isproper(tf([1 0],1)) % transfer function s
isproper(tf([1 0],[1 1])) % transfer function s/(s+1)
return false and true, respectively.
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