The controllability of fractional differential system with state and control delay

Musarrat Nawaz, Jiang Wei, Sheng Jiale
2020 Advances in Difference Equations  
In this research work, we investigate the controllability of linear fractional differential control systems with state and control delay. By using an explicit solution formula, a rank criterion for controllability is established. For the controllability criteria, we establish necessary and sufficient conditions of a fractional differential systems with state and control delay. In the end, a numerical example is constructed to support the results. MSC: 34k05; 26A33
doi:10.1186/s13662-019-2479-4 fatcat:mg2e5w2l4bhlpnmb7mjn4obacu