Feedback differential invariants

DOI10.1007/S10440-009-9448-YzbMath1189.93035arXiv0812.1334OpenAlexW2149042306MaRDI QIDQ966470

Valentin V. Lychagin

Publication date: 23 April 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1334

zbMATH Keywords

differential invariantfeedback transformationsautonomous control system

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Algebraic methods (93B25) Pseudogroups and differentiable groupoids (58H05)

Related Items (12)

Petrov invariants of Hamiltonian systems with a control parameter ⋮ Differential invariants of circle foliations on the plane ⋮ On Lie problem and differential invariants for the subgroup of the plane Cremona group ⋮ Equivariant moving frame method and the local equivalence of \(u _{xx } = r(x, u, v, u_{x }, v_{x })\) under fiber-preserving transformations ⋮ Differential invariants and contact classification of ordinary differential equations ⋮ On the equivalence of first-order Abel equations with coefficients depending on the control parameter ⋮ On Lie's problem and differential invariants of ODEs \(y = F(x,y)\) ⋮ On the Lie problem in PDEs and effective classification of the differential equations with algebraic coefficients ⋮ On differential invariants and classification of ordinary differential equations of the form \(y = A(x, y)y' + B(x, y)\) ⋮ On symplectization of 1-jet space and differential invariants of point pseudogroup ⋮ On classification problems in the theory of differential equations: Algebra + geometry ⋮ Point equivalence of functions on the 1-jet space \(J^{1} \mathbb{R}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Feedback equivalence for general control systems
• The theory of equivalence of Pfaffian systems and input systems under feedback
• INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM
• On Feedback Classification of Control-Affine Systems with One- and Two-Dimensional Inputs
• Feedback Equivalence of 1-dimensional Control Systems of the 1-st Order

This page was built for publication: Feedback differential invariants