Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 4, Issue 1


Published
on

April 18, 2019


Pages

39-45


DOI

Article

Common Diagonal Solutions for Second Order Complex Family

Check for updates


Authors

Bengi YILDIZ Affiliation:
Department of Mathematics, Bilecik Seyh Edebali University, Bilecik, Turkey
and Vakif DZHAFAROV Affiliation:
Department of Mathematics, Faculty of Science, Eskisehir Technical University, Turkey


Abstract

In this paper for second order complex interval matrix family we consider the problem of existence and evaluation of common diagonal solutions for the Lyapunov matrix inequality. Necessary and sufficient conditions are given. Numbers of examples are given, where known sufficient conditions do not give common solutions.


Keywords

Complex Interval Matrices, Lyapunov Inequality, Diagonal Stability, Common Diagonal.


Citation

Yildiz, B. & Dzhafarov, V. (2019). Common diagonal solutions for second order complex family. Turkish Journal of Science, 4(1), 39–45. https://doi.org/10.66833/TJOS-2019-0005

Published by: Engineering Journals

Engineering Journals Logo