Pα-matrices and lyapunov scalar stability

Daniel Hershkowitz; Nira Mashal

P^α-matrices and lyapunov scalar stability

Daniel Hershkowitz, Nira Mashal

Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

For partitions α of {1,...,n}, the classes of P^α- matrices are defined, unifying the classes of the real P-matrices and of the real positive definite matrices. Lyapunov scalar stability of matrices is defined and characterized, and it is shown also that every real Lyapunov α-scalar stable matrix is a P^α-matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.

Original language	English
Pages (from-to)	39-47
Number of pages	9
Journal	Electronic Journal of Linear Algebra
Volume	4
State	Published - 1998
Externally published	Yes

Keywords

H-stability
P-matrices
P-matrices
Positive definite matrices
Scalar stability
Stability

Cite this

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title = "Pα-matrices and lyapunov scalar stability",

abstract = "For partitions α of \{1,...,n\}, the classes of Pα- matrices are defined, unifying the classes of the real P-matrices and of the real positive definite matrices. Lyapunov scalar stability of matrices is defined and characterized, and it is shown also that every real Lyapunov α-scalar stable matrix is a Pα-matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.",

keywords = "H-stability, P-matrices, P-matrices, Positive definite matrices, Scalar stability, Stability",

author = "Daniel Hershkowitz and Nira Mashal",

year = "1998",

language = "אנגלית",

volume = "4",

pages = "39--47",

journal = "Electronic Journal of Linear Algebra",

issn = "1081-3810",

publisher = "International Linear Algebra Society",

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T1 - Pα-matrices and lyapunov scalar stability

AU - Hershkowitz, Daniel

AU - Mashal, Nira

PY - 1998

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N2 - For partitions α of {1,...,n}, the classes of Pα- matrices are defined, unifying the classes of the real P-matrices and of the real positive definite matrices. Lyapunov scalar stability of matrices is defined and characterized, and it is shown also that every real Lyapunov α-scalar stable matrix is a Pα-matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.

AB - For partitions α of {1,...,n}, the classes of Pα- matrices are defined, unifying the classes of the real P-matrices and of the real positive definite matrices. Lyapunov scalar stability of matrices is defined and characterized, and it is shown also that every real Lyapunov α-scalar stable matrix is a Pα-matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.

KW - H-stability

KW - P-matrices

KW - Positive definite matrices

KW - Scalar stability

KW - Stability

UR - https://www.scopus.com/pages/publications/10044248534

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SN - 1081-3810

VL - 4

SP - 39

EP - 47

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

P^α-matrices and lyapunov scalar stability

Abstract

Keywords

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