Journal of Applied Nonlinear Dynamics
Trajectory controllability of fractionalorder α ∈(1,2] systems with delay
Journal of Applied Nonlinear Dynamics 7(2) (2018) 111122  DOI:10.5890/JAND.2018.06.001
V. Srinivasa; N. Sukavanam
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand247667, India
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Abstract
This paper is concerned with trajectory controllability of a class of fractionalorder systems of order α ∈ (1,2] with delay in state variable and with a nonlinear control term. Firstly, the existence and uniqueness of the system is proved under suitable conditions on the nonlinear term involving state variable. Then the trajectory controllability of this class of systems is studied using MittagLeffler functions and GronwallBellman inequality. Finally, examples are given to illustrate the proposed theory.
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