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- W3118657169 abstract "Abstract We demonstrate the existence and uniqueness of solutions to a bilinear state system with locally essentially bounded coefficients on an unbounded time scale. We obtain a Volterra series representation for these solutions which is norm convergent and uniformly convergent on compact subsets of the time scale. We show the associated state transition matrix has a similarly convergent Peano-Baker series representation and identify a necessary and sufficient condition for its invertibility. Finally, we offer numerical applications for dynamic bilinear systems – a frequency modulated signal model and a two-compartment cancer chemotherapy model." @default.
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- W3118657169 date "2021-05-01" @default.
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- W3118657169 title "Bilinear state systems on an unbounded time scale" @default.
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- W3118657169 doi "https://doi.org/10.1016/j.amc.2020.125917" @default.
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