1982IEEE Transactions on Automatic ControlRequires access

Cyclicity of polynomial systems

E. Lee, A.W. Olbrot, Stanisław H. Żak

Open publisher page 5 citations

Abstract

Results on cyclicity for systems defined over commutative polynomial rings are presented. This involves tests for cyclicity of polynomial matrices as well as an algorithm to obtain the companion form of a matrix using polynomial-type transformations.

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Results on cyclicity for systems defined over commutative polynomial rings are presented. This involves tests for cyclicity of polynomial matrices as well as an algorithm to obtain the companion form of a matrix using polynomial-type transformations.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Results on cyclicity for systems defined over commutative polynomial rings are presented. This involves tests for cyclicity of polynomial matrices as well as an algorithm to obtain the companion form of a matrix using polynomial-type transformations.

Key concepts: Matrix polynomial, Polynomial matrix, Polynomial, Companion matrix, Stable polynomial, Mathematics, Reciprocal polynomial, Polynomial ring

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