Connective practical stabilization of large-scale decentralized controlled stochastic systems

In this paper, the concept of practical stability and suboptimal decentralized control is formulated to study the effects of interactions on performance of systems which are composed of locally optimal and stable subsystems. The concept of vector Lyapunov-like functions coupled with the decomposition-aggregation techniques are utilized to develop a comparison principle which allows us to compute the stabilizing controller for the system under the stochastic structural perturbations caused by the on-and-off operations of interconnections among the subsystems. It is shown how one can construct suboptimal control and obtain connective practical stability of a given large-scale system from the complete controllability and practical stabilizability of the simpler reduced subsystems.