The Response Formula and Controllability&Observability of the General State-Space Model for a Two-Dimensional Linear Discrete System with Varying Coefficients
变系数2-D线性离散系统在一般模型下的状态响应及其观控性

In this paper, we consider the general state-space model for the two-dimensional linear discrete systems with varying coefficients. The general formula for response of such systems is derived. Necessary and sufficient conditions for local controllability and observability are obtained. In addition, minimum energy problem is solved.