On the differentiation of a composite function with a generalized vector argument on homogeneous time scales

DOI10.3176/proc.2017.3.04zbMath1390.26049OpenAlexW2746820596MaRDI QIDQ4641733

Vadim Kaparin, Yu. R. Kotta

Publication date: 18 May 2018

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2017.3.04

zbMATH Keywords

partial derivativecomposite functiondelta derivativetime scale calculus

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Real analysis on time scales or measure chains (26E70)

Uses Software

• Mathematica
• NLControl

Cites Work

• Unnamed Item
• Control systems on regular time scales and their differential rings
• Generalization of the formula of Faa di Bruno for a composite function with a vector argument
• Theorem on the differentiation of a composite function with a vector argument
• Linearization by input–output injections on homogeneous time scales
• Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms

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