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- W2096015033 abstract "In the algebraic approach to nonlinear control systems two similar notions, namely Kahler differentials and the formal vector space of differential one-forms having the properties of ordinary differentials, are frequently used to study the systems. This technical note explains that the formal vector space of differential one-forms is isomorphic to a quotient space (module) of Kahler differentials. These two modules coincide when they are modules over a ring of linear differential operators over the field of algebraic functions. Some remarks and examples demonstrating when the use of Kahler differentials might not be appropriate are included." @default.
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- W2096015033 date "2011-09-01" @default.
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- W2096015033 title "Some remarks on Kähler differentials and ordinary differentials in nonlinear control theory" @default.
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- W2096015033 doi "https://doi.org/10.1016/j.sysconle.2011.05.006" @default.
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