On Kalman's controllability and observability criteria for singular systems
Controllability and observability properties of a singular system \(Ex'= Ax+ Bu\), \(y= Cx\) are studied. Controllability, R-controllability, and impulse controllability are considered as are equivalent types of observability. Criteria are given as simple rank conditions related to various Markov parameters. Characterizations of the controllability and observability subspaces are derived.
scientific article; zbMATH DE number 1422944
scientific article