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In this paper, we consider decentralised control of a nonlinear fractional-order composite system and show novel sufficient conditions for the asymptotic stabilisation of the fractional-order composite system by a set of local state feedback controllers. First, we design a local state feedback controller for each nonlinear fractional-order subsystem and a Lyapunov function that guarantees the stabilisation of the isolated nonlinear fractional-order subsystem by the controller. Then, we construct a vector Lyapunov function from the set of the Lyapunov functions, and show the stabilisation of the nonlinear fractional-order composite system. Finally, two numerical simulation examples of the nonlinear fractional-order composite systems are performed to show the correctness and usefulness of the proposed decentralised control.

Novel asymptotic stabilisation conditions of nonlinear fractional-order composite systems via the decentralised control