✦ LIBER ✦

An input-output representation for implicit linear time-varying systems

✍ Scribed by William J. Terrell

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 512 KB
Volume: 271
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)00269-3

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✦ Synopsis

The need to describe the input-output behavior of implicit differential systems arises in many contexts, including compnter-aided modeling and the analysis of dynamical control systems. For a linear time-varying singular control system with real analytic coefficients in state space form, we produce an external (input-output) description of the system behavior in the form of a set of higher order differential equations in the inputs and outputs. The component of the state vector that affects the input-output relation is identified by a projection matrix which is computable from the original system coefficient matrices. The resulting input-output equations involve redundancy, but the input-output representation is obtained using computations on the original system without applying coordinate transformations.

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