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- W1971902052 abstract "We present a new framework for finite spectrum assignment for multi-input systems with non-commensurate delays using an algebraic approach over multidimensional polynomial matrices. By focusing on the solvability of a Bezout equation over multidimensional polynomial matrices, we derive a necessary and sufficient condition for finite spectrum assignability under which a finite number of spectra can be assigned by a control law using a ring of entire functions, i.e. Laplace transforms of all exponential time functions with compact support. Furthermore, using a solution to the Bezout equation, we present a design method for a controller that achieves finite spectrum assignment." @default.
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- W1971902052 date "2012-09-01" @default.
- W1971902052 modified "2023-09-25" @default.
- W1971902052 title "Finite spectrum assignment of multi-input systems with non-commensurate delays" @default.
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- W1971902052 doi "https://doi.org/10.1080/00207179.2012.679974" @default.
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