OPTIMAL CONTROL USING SUB-RIEMANNIAN GEOMETRY WITH APPLICATION TO ISOPERIMETRIC PROBLEM ON SPHERE

OPTIMAL CONTROL USING SUB-RIEMANNIAN GEOMETRY WITH APPLICATION TO ISOPERIMETRIC PROBLEM ON SPHERE

Sub-Riemannian Geometry is the natural geometry where optimal control problems belong to. In this thesis, we investigate the relation between optimal control and Sub-Riemannian Geometry. Then we implement the optimal control and Sub- Riemannian geometry approach to solve isoperimetric problem. Th...

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Bibliographic Details
Main Author: Noor Hasmi, Abrari
Format: Theses
Language:Indonesia
Subjects:
Ilmu alam dan matematika
Online Access:https://digilib.itb.ac.id/gdl/view/33719
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Institution: Institut Teknologi Bandung
Language: Indonesia
Description
Summary:Sub-Riemannian Geometry is the natural geometry where optimal control problems belong to. In this thesis, we investigate the relation between optimal control and Sub-Riemannian Geometry. Then we implement the optimal control and Sub- Riemannian geometry approach to solve isoperimetric problem. The thesis present the problem formulation, geometric interpretation, and solution, with the optimal control and Sub-Riemannian Geometry approach.

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