The jump behavior and stability analysis for 2-D singular systems

In this paper, we discuss the jump behavior and stability problems for 2-D linear shift-invariant singular systems under the standard boundary conditi ons. It is shown that once a boundary condition or the input is inadmissibl e in the classical sense, a group of non-causal or backward jumps of the sy stem states will be incited. This interpretation releases the conventional admissibility constraints on the boundary conditions and inputs. Based on t his observation, a systematic stability theory is developed for 2-D singula r systems. The well-known basic stability theorem for the 1-D singular syst ems or 2-D regular systems is thus extended to the 2-D singular case.