Coding scheme based on boundary functions for distributed system with finite channel data rates and packet dropouts

This paper considers discrete linear systems with multiple distributed sensors that are connected to one controller via channels of finite data rate. Each encoder has access to only one component of the current system output vector. By the proposed boundary function method, a condition expressed in terms of output feedback gain matrix, the parameters of boundary functions, and the channel data rates is given to guarantee the convergence of the state in the case of reliable channels. Then, we extend the result to the case of erasure channels.