Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Huseyin, Anar"'
In this paper approximations of the set of trajectories and integral funnel of the control system described by nonlinear ordinary differential equation with integral constraint on the control functions are considered. The set of admissible control fu
Externí odkaz:
http://arxiv.org/abs/2202.10561
In this paper an approximation of the set of multivariable and $L_2$ integrable trajectories of the control system described by Urysohn type integral equation is considered. It is assumed that the system is affine with respect to the control vector.
Externí odkaz:
http://arxiv.org/abs/2110.06994
Approximations of the image and integral funnel of the closed ball of the space $L_p,$ $p>1,$ under Urysohn type integral operator are considered. The closed ball of the space $L_p,$ $p>1,$ is replaced by the set consisting of a finite number of piec
Externí odkaz:
http://arxiv.org/abs/2107.08424
The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen from the closed ball of the
Externí odkaz:
http://arxiv.org/abs/2105.05967
Publikováno v:
Mathematical Notes, 2022, 111(1), 58-70
In this paper the continuity of the set valued map $p\rightarrow B_{\Omega,\mathcal{X},p}(r),$ $p\in (1,+\infty),$ is proved where $B_{\Omega,\mathcal{X},p}(r)$ is the closed ball of the space $L_{p}\left(\Omega,\Sigma,\mu; \mathcal{X}\right)$ center
Externí odkaz:
http://arxiv.org/abs/2104.12014
Autor:
Huseyin Anar
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1101-1111 (2022)
The control systems described by the Urysohn-type integral equations and integral constraints on the control functions are considered. The functions from the closed ball of the space Lp{L}_{p}, p>1,p\gt 1, with radius rr, are chosen as admissible con
Externí odkaz:
https://doaj.org/article/5d1cc983735f426fb7606369ef37d822
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Publikováno v:
Evolution Equations & Control Theory; Aug2024, Vol. 13 Issue 4, p1-17, 17p
In this paper directional derivative sets and differentials of a given set valued map are studied. Relations between the set valued map and compact subsets of the directional derivative sets of the given map are investigated. Upper and lower continge
Externí odkaz:
http://arxiv.org/abs/1406.4337