Affiliation:
1. Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University , Beirut P.O. Box 11-5020, Lebanon
Abstract
This paper investigates partial approximate controllability of fractional linear and semi-linear control systems involving the conformable derivative. First, we derive sufficient and necessary conditions for partial approximate controllability of fractional linear systems over a small interval. Then, we apply a new approach, different from typical methods involving complexity inequalities and fixed point theorems, to obtain sufficient conditions for partial approximate controllability of semi-linear fractional control systems, assuming that the linear part is partially approximately controllable. The effectiveness of these results is demonstrated through an illustrative example.
Reference41 articles.
1. A new approach to linear filtering and prediction problems;J. Basic Eng.,1960
2. Some remarks on complete controllability;SIAM J. Control,1966
3. Partial complete controllability of deterministic semilinear systems;TWMS J. Appl. Eng. Math.,2014
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