Optimal control problems on the co-adjoint Lie groupoids

In this work we study the invariant optimal control problem on Lie groupoids.We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid. In the final section of the paper, we present an illustrative example.

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Publication Details

Journal
Archives of Control Sciences
Published
2024-12-30
DOI
https://doi.org/10.24425/acs.2024.153099
Citations
1
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.89
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article

Optimal control problems on the co-adjoint Lie groupoids

Ghorbanali Haghighatdoost
1 citations
Archives of Control Sciences
Homotopy and Cohomology in Algebraic Topology
0.89
article

Optimal control problems on the co-adjoint Lie groupoids

Ghorbanali Haghighatdoost
article en
1 citations

Abstract

In this work we study the invariant optimal control problem on Lie groupoids.We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid. In the final section of the paper, we present an illustrative example.

Archives of Control Sciences
Azarbaijan Shahid Madani University (IR)
Openalex Percentile: Top 24%
Homotopy and Cohomology in Algebraic Topology
0.89
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Optimal control problems on the co-adjoint Lie groupoids — Ghorbanali Haghighatdoost · Archives of Control Sciences (2024) | TGRS Research Map | TGRS