Controllability results for fractional semilinear delay control systems

• Published in: Journal of applied mathematics & computing Vol. 65; no. 1-2; pp. 861 - 875
• Main Authors: Shukla, Anurag, Patel, Rohit
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2021; Springer Nature B.V
• Subjects: Applied mathematics; Computational Mathematics and Numerical Analysis; Continuity (mathematics); Control systems; Controllability; Delay; Function space; Hilbert space; Mathematical and Computational Engineering; Mathematics; Mathematics and Statistics; Mathematics of Computing; Operators (mathematics); Original Research; Stability; Theory of Computation; Time constant; Nemystkii operator; Fractional system; 93B05; Controllability; 34K35; Lipschitz continuity; 34A08

In this article, we have presented the controllability relationship between the semilinear control system of fractional order (1, 2] with delay and that of the semilinear control system without delay. Suppose X and U be Hilbert spaces which are separable and Z = L 2 [ 0 , b ; X ] , Z h = L 2 [ - h ,...