Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory

DOI10.1016/j.jde.2022.01.008zbMath1497.34018arXiv2103.16711OpenAlexW3140076759MaRDI QIDQ2074446

Yahao Chen, Witold Respondek

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16711

zbMATH Keywords

nonlinear differential-algebraic equationsWeierstrass forminvariant submanifoldgeometric reduction methodinternal equivalence

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods (93B27) Implicit ordinary differential equations, differential-algebraic equations (34A09) Invariant manifolds for ordinary differential equations (34C45)

Related Items (2)

On impulse-free solutions and stability of switched nonlinear differential-algebraic equations ⋮ Impulse-free jump solutions of nonlinear differential-algebraic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quasi-Weierstrass form for regular matrix pencils
• Control of underactuated mechanical systems with servo-constraints
• Controlled invariance for nonlinear differential-algebraic systems
• Nonlinear control systems: An introduction
• The eigenvalue problem \(\lambda Tx+Sx\)
• On an existence and uniqueness theory for nonlinear differential- algebraic equations
• A geometric treatment of implicit differential-algebraic equations
• A DAE approach to flexible multibody dynamics
• A vector-bundle version of a theorem of V. Doležal
• From Morse triangular form of ODE control systems to feedback canonical form of DAE control systems
• Regularization of linear time-invariant differential-algebraic systems
• On a geometrical interpretation of differential-algebraic equations
• The Quasi-Kronecker Form For Matrix Pencils
• Equivalence of Nonlinear Systems to Input-Output Prime Forms
• The Zero Dynamics Form for Nonlinear Differential-Algebraic Systems
• DAEs in Circuit Modelling: A Survey
• The existence of a continuous basis of a certain linear subspace of $E\sb{r}$ which depends on a parameter
• Structural Invariants of Linear Multivariable Systems
• Geometric Analysis of Differential-Algebraic Equations via Linear Control Theory

This page was built for publication: Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory