An algebraic framework generalizing the concept of transfer functions to nonlinear systems

DOI10.1016/j.automatica.2007.09.008zbMath1283.93077OpenAlexW2055706549MaRDI QIDQ2440711

Miroslav Halás

Publication date: 19 March 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2007.09.008

zbMATH Keywords

nonlinear systemstransfer functionsnon-commutative ringsskew polynomialspseudo-linear algebra

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Algebraic methods (93B25)

Related Items (11)

Realization of discrete-time nonlinear input-output equations: polynomial approach ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multi-realization of nonlinear systems ⋮ Global linearization approach to nonlinear control systems: a brief tutorial overview ⋮ Unnamed Item ⋮ A transfer function approach to the realisation problem of nonlinear systems ⋮ Minimal realizations of nonlinear systems ⋮ An intrinsic algebraic setting for poles and zeros of linear time-varying systems ⋮ Popov form and the explicit equations of inverse systems ⋮ Unnamed Item

Uses Software

• GTF_Tools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-commutative elimination in Ore algebras proves multivariate identities
• Nonlinear control systems. An algebraic setting
• An introduction to pseudo-linear algebra
• Analysis of nonlinear time-delay systems using modules over noncommutative rings
• A Linear Algebraic Framework for the Analysis of Discrete-Time Nonlinear Systems
• Linearization of Discrete-Time Systems
• Gain-scheduled controller design: An analytic framework directly incorporating non-equilibrium plant dynamics
• Gain-scheduled and nonlinear systems: Dynamic analysis by velocity-based linearization families
• A polynomial approach to nonlinear system controllability

This page was built for publication: An algebraic framework generalizing the concept of transfer functions to nonlinear systems