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The stabilizability and connections between internal and BIBO stability of 2-D singular systems. (English) Zbl 1035.93061
Summary: 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 is generalized from 2-D regular systems to the singular case. The BIBO stability condition is extended to 2-D singular systems. The detectability of 2-D singular systems is further discussed and an equivalent condition is obtained. Furthermore it is shown that a 2-D singular system is internally stable if and only if it is BIBO stable, detectable and stabilizable.

93D25 Input-output approaches in control theory
93C35 Multivariable systems, multidimensional control systems
93C55 Discrete-time control/observation systems
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