Linear higher-order systems

Wednesday, January 17, 2007 - 1:40pm - 2:30pm
Joseph Ball (Virginia Polytechnic Institute and State University)
By a noncommutative multidimensional linear system we mean a linear
discrete-time input/state/output system with evolution along a
finitely generated free semigroup. A formal Z-transform of the
input-output map results in a transfer function equal to a
formal power series in noncommuting indeterminates with operator (or
matrix) coefficients. If one imposes energy-balance inequalities and
additional structure to the system equations, the resulting transfer
function is a formal power series with the additional structure of
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