Linear descriptor systems are governed by dynamical equations subject to algebraic constraints. In the one-dimensional case, where only depend on a single index, usually time, Weierstrass canonical form splits up state vector in two parts, causal part, running forward and non-causal backward. this paper linear time-invariant autonomous two-dimensions discussed condition existence of non-trivial...

We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically the fat-wedge filtration of a polyhedral product. Applying characterization, we consider difference between Golodness over fields rings, which enables us to give simple complex any field such that corresponding moment-angle is not suspension.