Abstract
In this article, the Runge–Kutta (RK)–Butcher algorithm is used to study the optimal control of linear singular systems with quadratic performance cost. The obtained discrete solutions using the RK–Butcher algorithms are compared with the exact solutions of the optimal control problem and are found to be very accurate. Stability analysis for the RK–Butcher algorithm is presented. Error graphs for discrete and exact solutions are presented in a graphical form to show the efficiency of this method. This RK–Butcher algorithm can be easily implemented in a digital computer and the solution can be obtained for any length of time. †On leave from National Institute of Technology, Thiruchirappalli, India
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.
