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• W2128315809 abstract "Given the matrices of a linear state space representation, we find an expression for a universal left annihilator of the matrix $ctwovec{zI-A}{-C}$ and hence derive kernel representations for the input-output behaviour and by duality the controllable part. More generally in the discrete case we derive representations for the $L$-completion for different values of $L$, and the sub-behaviours of trajectories reachable in a given time interval. The representations are in certain trim canonical forms, which are intimately connected with structure indices. As a by-product of the state elimination procedure, we obtain a minimal state space representation for a given behaviour in terms of an arbitrary one." @default.
• W2128315809 created "2016-06-24" @default.
• W2128315809 creator A5009790845 @default.
• W2128315809 date "2002-01-01" @default.
• W2128315809 modified "2023-09-26" @default.
• W2128315809 title "The input-output and controllable behavioural structures of a state space representation" @default.
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• W2128315809 doi "https://doi.org/10.1080/00207170210139494" @default.
• W2128315809 hasPublicationYear "2002" @default.
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