On the Continuity Properties of the Set of Trajectories of the Control System with Limited Control Resources

Anar Huseyin

Makale detayları

On the Continuity Properties of the Set of Trajectories of the Control System with Limited Control Resources

Yazarlar:

Anar Huseyin

Yayıncı:

Manisa Celal Bayar University

Ana Başlıklar:

Mühendislik

Dergi:

Celal Bayar Üniversitesi Fen Bilimleri Dergisi Vol.19 Issue 2, pp.151-157

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001292751

pISSN:

1305-130X

Anahtar kelimeler:

Özet:

 In this paper the control system with integral constraint on the control functions is studied where the behavior of the system by the Urysohn type integral equation is described. The admissible control functions are chosen from the closed ball of the space L_p a,b;Rm  p1 centered at the origin with radius r. Dependence of the set of trajectories on r and p is investigated. It is proved that the set of trajectories is Lipschitz continuous with respect to r and continuous with respect to p. The robustness of the trajectory with respect to the fast consumption of the remaining control resource is established.

 In this paper the control system with integral constraint on the control functions is studied where the behavior of the system by the Urysohn type integral equation is described. The admissible control functions are chosen from the closed ball of the space L_p a,b;Rm  p1 centered at the origin with radius r. Dependence of the set of trajectories on r and p is investigated. It is proved that the set of trajectories is Lipschitz continuous with respect to r and continuous with respect to p. The robustness of the trajectory with respect to the fast consumption of the remaining control resource is established.

 In this paper the control system with integral constraint on the control functions is studied where the behavior of the system by the Urysohn type integral equation is described. The admissible control functions are chosen from the closed ball of the space L_p a,b;Rm  p1 centered at the origin with radius r. Dependence of the set of trajectories on r and p is investigated. It is proved that the set of trajectories is Lipschitz continuous with respect to r and continuous with respect to p. The robustness of the trajectory with respect to the fast consumption of the remaining control resource is established.

 In this paper the control system with integral constraint on the control functions is studied where the behavior of the system by the Urysohn type integral equation is described. The admissible control functions are chosen from the closed ball of the space L_p a,b;Rm  p1 centered at the origin with radius r. Dependence of the set of trajectories on r and p is investigated. It is proved that the set of trajectories is Lipschitz continuous with respect to r and continuous with respect to p. The robustness of the trajectory with respect to the fast consumption of the remaining control resource is established.

Makale detayları

On the Continuity Properties of the Set of Trajectories of the Control System with Limited Control Resources

Yazarlar:

Anar Huseyin

Yayıncı:

Manisa Celal Bayar University

Ana Başlıklar:

Mühendislik

Dergi:

Celal Bayar Üniversitesi Fen Bilimleri Dergisi Vol.19 Issue 2, pp.151-157

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001292751

pISSN:

1305-130X

control system

Hausdorff distance

integral constraint

robustness

Urysohn integral equation.

Sayı

Makale detayları

On the Continuity Properties of the Set of Trajectories of the Control System with Limited Control Resources

Yazarlar: Anar Huseyin

Yayıncı: Manisa Celal Bayar University

Ana Başlıklar: Mühendislik

Dergi: Celal Bayar Üniversitesi Fen Bilimleri Dergisi Vol.19 Issue 2, pp.151-157

Belge Tipi: Makale

Yayın Tarihi: 6/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001292751

pISSN: 1305-130X

control system

Hausdorff distance

integral constraint

robustness

Urysohn integral equation.

Sayı

Yazarlar:

Anar Huseyin

Yayıncı:

Manisa Celal Bayar University

Ana Başlıklar:

Mühendislik

Dergi:

Celal Bayar Üniversitesi Fen Bilimleri Dergisi Vol.19 Issue 2, pp.151-157

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001292751

pISSN:

1305-130X