On Algebraic Simplifications of Linear Functional Systems
نویسندگان
چکیده
In this paper, we show how to conjointly use module theory and constructive homological algebra to obtain general conditions for a matrix R of functional operators (e.g., differential/shift/time-delay operators) to be equivalent to a block-triangular or block-diagonal matrix R (i.e., conditions for the existence of unimodular matrices V and W satisfying that R = V R W ). These results allow us to simplify the study of many linear functional systems − particularly differential time-delay systems − appearing in control theory and mathematical physics.
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