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The criterion for controllability and observability of singular systems. (Chinese. English summary) Zbl 0860.93005

This paper investigates the controllability and observability of singular systems. The existing necessary and sufficient conditions for a singular system to be controllable are either related to the Kronecker standard factorization of normal matrices or based on a suitable choice of a parameter value which is difficult to determine. The paper gives a simple necessary and sufficient condition for a singular system to be controllable, that is, a matrix which is a Kronecker product of matrices of the system is of full column rank. A similar necessary and sufficient condition for a singular system to be observable is also presented.

MSC:

93B05 Controllability
93B07 Observability
93C35 Multivariable systems, multidimensional control systems
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