The Stabilizability and Connections between Internal and BIBO Stability of 2-D Singular Systems

The problem of stabilizability of 2-D singular systems is considered, a necessary and sufficient condition in terms of the existence of a polynomial solution to a Bezout identity has been generalized from 2-D regular systems to the singular case. The BIBO stability condition has been extended to 2-D singular systems. The detectability of 2-D singular system is further discussed, an equivalent condition is obtained. At last it is shown that 2-D singular system is internally stable if and only if it is BIBO stable, detectable and stabilizable.