Singular linear systems on Lie groups; equivalence

DOI10.1016/j.sysconle.2018.07.010zbMath1408.93047OpenAlexW2887898446WikidataQ115340964 ScholiaQ115340964MaRDI QIDQ1729042

Philippe Jouan, Victor Ayala

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2018.07.010

zbMATH Keywords

homogeneous spacesLie groupscontrol systemssingular systems

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Algebraic methods (93B25) Control/observation systems in abstract spaces (93C25)

Related Items (3)

Generalized solutions to degenerate dynamical systems ⋮ Saddle-point solution to zero-sumgame for uncertain noncausal systems based on optimistic value ⋮ Admissibility and stabilization of singular continuous 2D systems described by Roesser model

Cites Work

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• Numerical solution of differential algebraic Riccati equations
• Singular control systems
• On impasse points of quasilinear differential-algebraic equations
• A geometric treatment of implicit differential-algebraic equations
• A decomposition theorem for singular control systems on Lie groups.
• Multidimensional Poincaré construction and singularities of lifted fields for implicit differential equations
• Almost-Riemannian Geometry on Lie Groups
• Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
• On singularities of autonomous implicit ordinary differential equations

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