STRUCTURAL INVARIANTS OF TWO-DIMENSIONAL SYSTEMS

摘要

In this paper, some fundamental structural properties of two-dimensional (2-D) systemswhich remain invariant under feedback and output-injection transformation groups are identifiedand investigated for the first time. As is well known, structural invariants that follow from the definitionof controlled and conditioned invariance, output-nulling, input-containing, self-bounded andself-hidden subspaces play pivotal roles in many theoretical studies of systems theory and in thesolution of several control/estimation problems. These concepts are developed and studied within a2-D context in this paper.