Some remarks on Kähler differentials and ordinary differentials in nonlinear control theory

DOI10.1016/J.SYSCONLE.2011.05.006zbMath1226.93044OpenAlexW2096015033WikidataQ56384770 ScholiaQ56384770MaRDI QIDQ645573

Miroslav Halás, Ziming Li, Guofeng Fu, Yu. R. Kotta

Publication date: 10 November 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.05.006

zbMATH Keywords

nonlinear systemsKähler differentialsalgebraic methodsdifferential one-forms

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Robust and nonlinear control literature survey (No. 27) ⋮ On Retarded Nonlinear Time-Delay Systems That Generate Neutral Input-Output Equations ⋮ Global linearization approach to nonlinear control systems: a brief tutorial overview

Cites Work

• Algebraic methods for nonlinear control systems. Theory and applications.
• On Liouville's theory of elementary functions
• Symbolic integration I: Transcendental functions
• Kähler differentials and differential algebra
• Submersive rational difference systems and their accessibility
• The differential field associated to a general analytic nonlinear dynamical system
• Classical electrical engineering questions in the light of Fliess's differential algebraic framework of non-linear control systems
• Reversible linear and nonlinear discrete-time dynamics
• Realization theory for differential algebraic input-output systems
• A linear algebraic framework for dynamic feedback linearization
• Flatness and defect of non-linear systems: introductory theory and examples

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