Decentralized finite-time output-feedback stabilization for a class of uncertain large-scale stochastic nonlinear systems

The global decentralized finite-time stabilization problem for a class of uncertain large-scale stochastic nonlinear systems is addressed in this paper. First, a homogeneous finite-time output-feedback control law is constructed for each nominal subsystem without considering drift and diffusion terms by using the adding a power integrator technique and homogeneous systems theory. Second, aiming for global stabilization, a scaling gain is introduced into the proposed homogeneous output-feedback control laws. Then, it is shown that under the proposed decentralized output-feedback controller will render the whole closed-loop system globally finite-time stable in probability. Furthermore, a simulation example is conducted to show the effectiveness of the proposed control scheme.