Abstract

This paper discusses two models of the anti-stable vibration system. The anti-stable vibration system can be expressed the integer wave model and the fractional wave model. Many of engineering physical phenomenons can be modeled more accurately and authentically using the fractional order differential equations. The fractional wave equation is obtained from the standard integer wave equation by replacing the first-order time derivative with a fractional derivative of order b. The boundary controller of the two models of string vibration systems will be considered. This paper presents a boundary control method of the anti-stable fractional-order vibration systems. Numerical simulations are used to illustrate the improvements of the proposed control method for the fractional vibration systems.

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 call

Disclaimer: 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.