Cayley-Hamilton Theorem for Fuzzy Matrix
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2015, Vol 3, Issue 1
Abstract
The classical Cayley-Hamilton theorem says that every square matrix satisfies its own characteristic equation. The Cayley-Hamilton theorem has been extended to rectangular matrices, block matrices, pairs of commuting matrices, standard and singular two-dimensional linear (2-D) systems. The Cayley-Hamilton theorem and its generalizations have been used in control systems, electrical circuits, systems with delays, singular systems, 2-D linear systems etc., In this paper the new approach of Cayley-Hamilton theorem was done using the fuzzy matrices. For this, the Characteristic equation of fuzzy matrix, Fuzzy Eigen values and Eigen vectors have been derived.
Authors and Affiliations
M. Clement Joe Anand, A. Rajkumar, A. Victor Devadoss, M. Edal Anand
Keywords
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