Abstract
In this paper we treat the case of abstract vibrational system of the form $M\ddot{; ; ; ; ; ; x}; ; ; ; ; ; +C\dot{; ; ; ; ; ; x}; ; ; ; ; ; +x=0$, where the positive semi- definite selfadjoint operators $M$ and $C$ commute. We explicitly calculate the solution of the corresponding Lyapunov equation which enables us to obtain the set of optimal damping operators, thus extending already known results in the matrix case.
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.
