Hurwitz Stability of Matrix Segment and The Common  Solution Set of 2 and 3-Dimensional Lyapunov Equations

Şerife YILMAZ

doi:https://doi.org/10.16984/saufenbilder.573551

Article Details

Hurwitz Stability of Matrix Segment and The Common Solution Set of 2 and 3-Dimensional Lyapunov Equations

Authors:

Şerife YILMAZ

Main Topics:

Mathematics

Journal:

Sakarya University Journal of Science 2020 Vol.24 Issue 2, pp.357-364

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000556850

DOI:

https://doi.org/10.16984/saufenbilder.573551

Abstract:

 


In this study, a necessary and sufficient condition is given for the stability of the convex combinations of n-dimensional two Hurwitz stable matrices. There is a close relationship between Hurwitz stability of the matrix segment and common solution to the Lyapunov equations corresponding to those matrices. Therefore, the results obtained in this area are important. In the case of existence, an algorithm that determines common solutions set is also given. A number of illustrative examples using this algorithm are given.

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Article Details

Hurwitz Stability of Matrix Segment and The Common Solution Set of 2 and 3-Dimensional Lyapunov Equations

Authors: Şerife YILMAZ

Main Topics: Mathematics

Journal: Sakarya University Journal of Science 2020 Vol.24 Issue 2, pp.357-364

Document Type: Article

Publication Date: 3/2020

Document Language: English

Document ID (Org No.): 2000556850

DOI: https://doi.org/10.16984/saufenbilder.573551

Issues

Authors:

Şerife YILMAZ

Main Topics:

Mathematics

Journal:

Sakarya University Journal of Science 2020 Vol.24 Issue 2, pp.357-364

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000556850

DOI:

https://doi.org/10.16984/saufenbilder.573551