Abstract
Necessary and sufficient conditions for the existence, form and uniqueness of optimal control of nonlinear systems are obtained. By using a generalized form of the open mapping theorem, controllability results are obtained for the free system by subjecting certain smoothness conditions on the nonlinear base. It is further shown that, if the system is relatively controllable, then optimal control is unique and bang-bang.
Citations
IRE Journals:
C. A. Nse , F. K. Nama , C. O Aminobiren , V. I. Onoja
"Existence and Uniqueness of Optimal Control for Fractional Nonlinear Systems" Iconic Research And Engineering Journals Volume 9 Issue 3 2025 Page 367-373
IEEE:
C. A. Nse , F. K. Nama , C. O Aminobiren , V. I. Onoja
"Existence and Uniqueness of Optimal Control for Fractional Nonlinear Systems" Iconic Research And Engineering Journals, 9(3)
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