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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The purpose of this paper is to show that an affine singular control system S on a connected Lie group G leads to two subsystems: An affine control system on a homogeneous space G/H and an algebraic-differential control system on H of G, where H is some closed subgroup of G.
📌 3 Key Takeaways
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Objective & Hypothesis:The purpose of this paper is to show that an affine singular control system S on a connected Lie group G leads to two subsystems: An affine control system on a homogeneous space G/H and an algebraic-differential control system on H of G, where H is some closed subgroup of G.
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Key Findings & Data:The purpose of this paper is to show that an affine singular control system S on a connected Lie group G leads to two subsystems: An affine control system on a homogeneous space G/H and an algebraic-differential control system on H of G, where H is some closed subgroup of G.
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Conclusion & Impact:The purpose of this paper is to show that an affine singular control system S on a connected Lie group G leads to two subsystems: An affine control system on a homogeneous space G/H and an algebraic-differential control system on H of G, where H is some closed subgroup of G.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Singular Control System · Homogeneous Space · Algebraic Differen- tial Equations
Abstract
The purpose of this paper is to show that an affine singular control system S on a connected Lie group G leads to two subsystems: An affine control system on a homogeneous space G/H and an algebraic-differential control system on H of G, where H is some closed subgroup of G.
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Cite This Article
KULE, M. (2022). Affine singular control systems on Lie groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1071–1077. https://ajindex.com/articles/530229