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Matrix Diagonal and D-Stability

In: Matrix Diagonal Stability in Systems and Computation

Author

Listed:
  • 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)

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.

Suggested Citation

  • Eugenius Kaszkurewicz & Amit Bhaya, 2000. "Matrix Diagonal and D-Stability," Springer Books, in: Matrix Diagonal Stability in Systems and Computation, chapter 2, pages 25-89, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1346-8_2
    DOI: 10.1007/978-1-4612-1346-8_2
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