Abstract
We extend the Buchanan stability theorem for families of fixed order matrices to families of diagonalizable matrices of finite but unbounded order with the restriction that the degrees of the minimal polynomials of all matrices in the family are less than a fixed constant. Our techniques depend on special block triangular representations of square matrices obtainable with unitary transformations. Several sufficient stability conditions also are obtained without the minimal polynomial requirement and without the need for diagonalizability.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
