Matrix Diagonal and D-Stability

Eugenius Kaszkurewicz and Amit Bhaya
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Eugenius Kaszkurewicz: Federal University of Rio de Janeiro, COPPE/UFRJ, Department of Electrical Engineering
Amit Bhaya: Federal University of Rio de Janeiro, COPPE/UFRJ, Department of Electrical Engineering

Chapter 2 in Matrix Diagonal Stability in Systems and Computation, 2000, pp 25-89 from Springer

Abstract: Abstract This chapter presents the matrix theory concepts of diagonal stability and also of D-stability and gives the properties of these classes of matrices in various cases that are used extensively in the remaining chapters of this book as well as related results that are important in themselves. It is thus intended as a reference chapter for the whole book. The reader does not have to read this whole chapter before reading the rest of the book, but rather consult it when necessary. There is, of course, no claim to completeness, in terms of theoretical results on matrix diagonal and D-stability, but the Notes and References section at the end of the chapter points out where many additional results can be found.

Keywords: Linear Matrix Inequality; Positive Definite Matrix; Principal Minor; Nonnegative Matrice; Liapunov Function (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1346-8_2

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DOI: 10.1007/978-1-4612-1346-8_2

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