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.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | April 1, 2020 |
Submission Date | June 3, 2019 |
Acceptance Date | January 16, 2020 |
Published in Issue | Year 2020 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.