Polynomial and Rational Matrices

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Focusing on the application of polynomial and rational matrices, the book delves into their role in modeling and analyzing dynamical systems. It starts with foundational concepts like the Cayley-Hamilton theorem and basic matrix operations. Key topics include normal matrices, rational and algebraic polynomial matrix equations, and the development of perfect observers for linear systems. Additionally, it presents new findings on positive linear systems in both discrete and continuous time, particularly those involving delays.