Vector Lyapunov function approach to measurement feedback stabilization of large-scale nonlinear systems

The paper considers the problem of measurement feedback decentralized stabilization of large-scale interconnected nonlinear systems. Motivated by the recent developments on control vector Lyapunov functions, the notion of an output control vector Lyapunov function is defined which serves as a starting point for the investigation of a decentralized version of feedback stabilization problem for such systems. This paper focuses on the measurement feedback decentralized stabilization problem. The main contributions of this paper are solutions to the static version of the problem. An example is given to illustrate the proposed design methods.