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Dergiler / 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
Sayfa
127–134
DOI
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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 Maddede Bu Makale

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Amaç & Hipotez:In this article the properties of attainable sets of control systems with integral constraints on control are studied.
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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (9)

  1. Kh.G.Guseinov, A.N.Moiseyev and V.N.Ushakov, The Approximation of the Reachable Domains of Control Systems, J. Appl. Math. Mechs., 62,169-175, 1998
  2. A.B.Kurzhanski and I.Valyi, Ellipsoidal Calculus for Estimation and Control, Birkhauser, Boston, 1996
  3. K.Deimling, Multivalued Differential Equations, Walter de Gruyter, Berlin, 1992
  4. V.I.Blagodatskikh and A.F.Filippov, Differential Inclusions and Optimal Control, Proc. of the Steklov Inst, of Math, 169, 194-252, 1985
  5. Kh.G.Guseinov, A.A.Neznakhin and V.N.Ushakov, Approximate Construction of Attainability Sets of Control Systems with Integral Constraints on Control, J. Appl. Math. Mechs., 63, 557-567, 1999
  6. Kh.G.Guseinov, Orhan Özer and Emrah Akyar, Numerical Method for Approximation of Reachable Sets of Control Systems with Integral Constraints, Abstracts International Conference on Applicable General Topology, 1 -2, Ankara, Turkey, 2001
  7. A.G.Chentsov, Asymptotic Attainability Accompanying Perturbation of Integral Constraints, Kibernetika i Sist. Analiz, 1, 87-99, 1995
  8. M.Motta and F.Rampazzo, Multivalued Dynamics on a Closed Domain with Absorbing Boundary. Applications to Optimal Control Problems with Integral Constraints, Nonlinear Anal, Ser. A: Theory Methods, 41, no. 5-6, 631-647, 2000
  9. J.Warga, Optimal Control of Differential and Functional Equations, Academic Press, New York, 1972.