2005•He'nan kexueRequires access

Circulant matrices and their controllable analysis

Zunhai Gao, Chen Mian‐yun

Abstract

A kind of circulant matrices, example of Hankel matrices and r-circulant matrices, are viewed as controllability matrices on linear system. And their properties are discussed. The invertible condition and the algorithms for finding inverse matrices are obtained. From any an inverse circulant matrix can deduce a series correlative inverse matrices, and the probability of any an r-circulant matrix invertible is 1. A new method to study the kind of circulant matrices is presented.

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Key concepts: Circulant matrix, Invertible matrix, Mathematics, Inverse, Matrix (chemical analysis), Matrix analysis, Hankel matrix, Controllability