Controllability of fractional dynamical systems with distributed delays in control using ψ‐Caputo fractional derivative
Copyright policy )Controllability of fractional dynamical systems with distributed delays in control using ψ‐Caputo fractional derivative
AbstractThis research investigates the controllability of linear and non‐linear fractional dynamical systems with distributed delays in control using the ‐Caputo fractional derivative. For controllability of linear systems, the positive definiteness of Grammian matrix, which is characterized by Mittag–Leffler functions, is used to provide necessary and sufficient conditions. For the controllability of non‐linear systems, the iterative technique with the completeness of is used to obtain sufficient conditions. Using the ‐Caputo fractional derivative, this study is new since it investigates the ideas of controllability. A couple of numerical results are offered to explain the theoretical results.
Control problems for functional-differential equations, Controllability, Control/observation systems governed by functional-differential equations, Delay control/observation systems, fractional dynamical systems, controllability Grammian, iterative technique, \( \psi \)-Caputo fractional derivative, delay systems, Functional-differential equations with fractional derivatives
Control problems for functional-differential equations, Controllability, Control/observation systems governed by functional-differential equations, Delay control/observation systems, fractional dynamical systems, controllability Grammian, iterative technique, \( \psi \)-Caputo fractional derivative, delay systems, Functional-differential equations with fractional derivatives
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