Abstract
Solving a generalized characteristic matrix equation (GCME) of a linear retarded system is the crux for stabilizing the system using a reduction technique. This note gives the solution of GCME under the general condition that the eigenvalues occur in the spectrum of the system with algebraic and geometric multiplicities being greater than or equal to one. The main idea is to transform the GCME into a group of linear algebraic equations. A sufficient condition for the existence of the solution to the linear algebraic equations is established. A key lemma for stabilizing the systems under the above general condition is also proved.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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.
