Doctoral Dissertations


Tien Hua


"This dissertation presents two network realization procedures using the state-space approach. The first procedure is the realization of a transfer function. A state model (A,B,C,D) is obtained from the given transfer function by inspection, where A is a companion matrix. Through a similarity transformation T, another state model (F,G,H,J) is obtained, where F is a tridiagonal matrix and can be realized by a RC-gyrator ladder network. The input source is inserted in the proper position of the ladder network, and the output is obtained through a summing circuit. It is a unified procedure and uses simple algebraic computation. A general expression of the similarity transformation T is derived for any order. It is a minimal realization.

The second procedure is the realization of an A matrix with a symmetrical lattice network. It is shown that the network functions of a symmetrical lattice network have a common factor in their numerators and denominators. Also, the eigenvalues of the A matrix are the poles and zeros of the driving-point functions. The A-matrix realization procedure is based on these properties. The synthesized network that consists of RC, RL , LC, or RLC elements depends on the locations of the eigenvalues of A. It is not a minimal realization "--Abstract, page ii.


Fowler, Eddie R.

Committee Member(s)

Peirson, Robert C., 1943-
Bourquin, Jack J.
Tracey, James H.
Hatfield, Charles, 1920-1993


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


National Science Foundation (U.S.)


Financial assistance provided by the National Science Foundation (Grant GK-5466)


University of Missouri--Rolla

Publication Date



viii, 118 pages

Note about bibliography

Includes bibliographical references (pages 92-94).


© 1974 Tien Hua, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type




Library of Congress Subject Headings

Digital control systems -- Design
Transfer functions
State-space methods

Thesis Number

T 3004

Print OCLC #


Electronic OCLC #


Link to Catalog Record

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