Time optimal control for linear systems on Lie groups

DOI10.1016/j.sysconle.2021.104956zbMath1483.49030OpenAlexW3162672454WikidataQ115340935 ScholiaQ115340935MaRDI QIDQ2242901

Victor Ayala, Philippe Jouan, Guilherme Zsigmond, María Torreblanca

Publication date: 10 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2021.104956

zbMATH Keywords

linear systemsLie groupstime optimal controlPontryagin maximum principle

Mathematics Subject Classification ID

Linear optimal control problems (49N05) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items

Numerical optimal control for switched nonlinear systems with inequality path constraints

Cites Work

• Controllability of linear systems on low dimensional nilpotent and solvable Lie groups
• Controllability of linear systems on Lie groups
• Control sets of linear systems on Lie groups
• Control systems on semi-simple Lie groups and their homogeneous spaces
• On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups
• Control sets of linear systems on semi-simple Lie groups
• The control set of a linear control system on the two dimensional Lie group
• Controllability of Linear Systems on Solvable Lie Groups
• Almost-Riemannian Geometry on Lie Groups
• Controllability properties of a class of control systems on lie groups
• Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
• Controllability of Linear Systems on Lie Groups with Finite Semisimple Center
• On Everywhere Dense Imbedding of Free Groups in Lie Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item