 
Summary: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. AC32, NO. 1, JANUARY 1987 69
:,,I,' , ,
L
f
`1.00 n.w I M . ~a45.10
____.J
I v
Fig. 1. Openloopstep response for thedeltawing aircraft model.
..____% J _ _ _ _ _ > J
Fig. 2.Openloop step CPA and CG of thedelta wing aircraft model.
CPA and CVE for systems with many inputs and outputs directly from
step or impulse data, thereby bypassing the parameter estimation
problem. As shown in [4], [5], the displayed CPA and CVE reveal
important properties of the timedomain inputoutput modes which are
valuable for multivariable control system analysis and design.
APPENDIX
To prove that (7) is consistent.
Z,(l)w,(2)= Z(2)W,(l)
[h;(l)IG(l)]~i(2)= [X,(2)1 G(2)]w;(l)
where C ( j) is an n X n matrix of rank n. Since hi(l) is one of the
