Practical internal stability of n-D discrete systems

This paper deals with the problem of asymptotic stability for n-D discrete systems in the practical sense that the system input and output signals are unbounded in, at most, one dimension. A definition of practical internal stability is introduced, and necessary and sufficient conditions are derived. The obtained results show that practical internal stability is less restrictive and more relevant for practical applications than the conventional two-dimensional (2-D) internal stability.