On Stabilization of Discrete-time Nonlinear Systems under Information Constraints*

This paper deals with stabilization and optimal control of interconnected discrete-time nonlinear systems under given information constraints on the controller structure. As a prominent example, the considered information constraints on the controller structure include decentralized and distributed control over a given communication network. Firstly, we briefly recall the recently introduced notion of structured control Lyapunov functions (CLFs), which provides a suitable tool for stabilizing controller synthesis under information constraints. Then, we show that the controller synthesis problem using structured CLFs can be formulated as a convex optimization problem. Furthermore, we present solutions for solving this problem efficiently under several different types of information constraints.