The Existence Theorem for Optimal Control with Non-Standard Cost Functional and Analysis

Praveen Kumar

Abstract: The existence theorem for optimal control system has been obtained for a general non-standard cost functional of fraction type. As an application of our result we can derive an existence theorem for optimal control given by M.B. Subramanyam for a cost functional, which has been given in the fractional form I.e ratio of two given integral cost functionals.

Keywords: Optimization, Control theory, Regularity, Functionals