Article

Positive Realizations of Transfer Matrices With Real Poles

Univ. Politecnica de Valencia, Valencia
Circuits and Systems II: Express Briefs, IEEE Transactions on (impact factor: 1.41). 07/2007; DOI:10.1109/TCSII.2007.894408 pp.517 - 521
Source: IEEE Xplore

ABSTRACT In this brief, we prove that any normal transfer matrix with nonnegative impulse response and simple real poles of second order in discrete-time linear systems admits a minimal positive realization. This result can be used to obtain a minimal positive realization of some transfer matrices of any order with simple real poles. In addition, several results obtained for single-input single-output systems are adapted to solve the positive realization problem of transfer matrices with multiple real poles in multiple-input multiple-output systems.

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Keywords

brief
 
discrete-time linear systems
 
multiple real poles
 
multiple-input multiple-output systems
 
nonnegative impulse response
 
normal transfer matrix
 
simple real poles
 
transfer matrices
 

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