A geometric approach to the classification of singular systems

The author considers the singular system Ex'(t) =Ax(t)+Bu(t) where E,A:X to Y and B:U to Y are linear maps. It is assumed that X=R/sup n/, Y=R/sup P/ and U=R/sup m/ and therefore no assumptions such as regularity, regularizability, etc. are made about the system under consideration. The author presents direct-sum decompositions of X and Y which immediately induce a canonical form of (E,A,B) under the action of the generalized Brunovsky group. A complete orbital invariant for this action is defined using geometric algorithms.<
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