### Abstract

This paper is concerned with the stability analysis of interval matrices. Improved sufficient conditions for the stability of interval matrices are given. These conditions are based on a theorem that determines containment regions for the eigenvalues of a certain matrix which are smaller than the regions determined by the Gerschgorin Theorem and thus giving rise to larger margins of stability. We obtain sufficient conditions for the stability of a perturbed matrix using similarity transformations. Numerical examples are given to illustrate the results of the paper.

Original language | English |
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Pages (from-to) | 90-93 |

Number of pages | 4 |

Journal | JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing |

Volume | 41 |

Issue number | 1 |

Publication status | Published - Mar 1998 |

Externally published | Yes |

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing*,

*41*(1), 90-93.

**Improved margin of stability of interval matrices.** / Elgindi, Mohamed; El-Gebeily, M. A.; Moustafa, Kamal A F.

Research output: Contribution to journal › Article

*JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing*, vol. 41, no. 1, pp. 90-93.

}

TY - JOUR

T1 - Improved margin of stability of interval matrices

AU - Elgindi, Mohamed

AU - El-Gebeily, M. A.

AU - Moustafa, Kamal A F

PY - 1998/3

Y1 - 1998/3

N2 - This paper is concerned with the stability analysis of interval matrices. Improved sufficient conditions for the stability of interval matrices are given. These conditions are based on a theorem that determines containment regions for the eigenvalues of a certain matrix which are smaller than the regions determined by the Gerschgorin Theorem and thus giving rise to larger margins of stability. We obtain sufficient conditions for the stability of a perturbed matrix using similarity transformations. Numerical examples are given to illustrate the results of the paper.

AB - This paper is concerned with the stability analysis of interval matrices. Improved sufficient conditions for the stability of interval matrices are given. These conditions are based on a theorem that determines containment regions for the eigenvalues of a certain matrix which are smaller than the regions determined by the Gerschgorin Theorem and thus giving rise to larger margins of stability. We obtain sufficient conditions for the stability of a perturbed matrix using similarity transformations. Numerical examples are given to illustrate the results of the paper.

UR - http://www.scopus.com/inward/record.url?scp=0032028225&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032028225&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032028225

VL - 41

SP - 90

EP - 93

JO - JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Menufacturing

JF - JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Menufacturing

SN - 1340-8062

IS - 1

ER -