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Journals / Mathematical and Computational Applications / 2003 / Cilt: 8 - Sayı: 1

On the semicontinuity properties of the attainable sets of control systems with controls in

Kh. G. GUSEINOV
Orhan ÖZER
EMRAH AKYAR
Pages
127–134
DOI
—
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AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is proved that the attainable sets of the system at the fixed instant of time are left side lower semicontinuous and right side upper semicontinuous with respect to p.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article the properties of attainable sets of control systems with integral constraints on control are studied.
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Key Findings & Data:The admissible control functions are chosen from the ball centered at the origin and of radius $mu_0$ in $L_p$, p > 1.
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Conclusion & Impact:It is proved that the attainable sets of the system at the fixed instant of time are left side lower semicontinuous and right side upper semicontinuous with respect to p.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article the properties of attainable sets of control systems with integral constraints on control are studied. The admissible control functions are chosen from the ball centered at the origin and of radius $mu_0$ in $L_p$, p > 1. It is proved that the attainable sets of the system at the fixed instant of time are left side lower semicontinuous and right side upper semicontinuous with respect to p.

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Cite This Article

GUSEINOV, K. G., ÖZER, O., AKYAR, E. (2003). On the semicontinuity properties of the attainable sets of control systems with controls in. Mathematical and Computational Applications, Cilt: 8 - Sayı: 1, 127–134. https://ajindex.com/articles/280366

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References (9)

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