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On the robustness of the integrable trajectories of the control systems with limited control resources
(Polish Academy of Sciences, 14.09.2023)
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 ...
On the robustness of the integrable trajectories of the control systems with limited control resources
(Polish Academy of Sciences, 14.09.2023)
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 ...
On the robustness of the integrable trajectories of the control systems with limited control resources
(Polish Academy of Sciences, 14.09.2023)
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 ...
Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
(De Gruyter, 14.04.2023)
In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ...
On the properties of the set of trajectories of the nonlinear control system with quadratic integral constraint on the control functions
(Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, 30.06.2023)
In this paper the control system described by a nonlinear differential equation is studied. It is assumed that the control functions have a quadratic integral constraint, more precisely, the admissible control functions ...
On the robustness of continuous trajectories of the control system described by an integral equation
(KOREAN SOC MATHEMATICAL EDUCATION, 30.05.2023)
In this paper the control system described by Urysohn type integral equation is studied. It is assumed that control functions are integrally constrained. The trajectory of the system is defined as multivariable continuous ...
Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
(De Gruyter, 14.04.2023)
In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ...
Simultaneous effects of anisotropy and internuclear distance on the D+ 2 complex-related self-polarization in quantum dots
(2023)
In this study, we investigate the simultaneous effects of anisotropy and internuclear distance on the selfpolarization
of the D+2 complex in quantum dots for different confinement sizes. Numerical calculations were
carried ...
Hydrogen molecular ion-related nonlinear optical rectification in quantum dots
(2023)
The influence of the internuclear distance and quantum dot size on the nonlinear optical rectification of a hydrogen
molecular ion D+
2 confined in a two-dimensional quantum dot was calculated. In the framework of the ...
Diamagnetic susceptibility of an artificial hydrogen molecule ion DD2 + confined to quantum dots: effects of anisotropy
(2023)
We present the numerical results obtained by the twodimensional
diagonalisation method concerning the
anisotropy and internuclear distance dependence of the
electronic structure, total energy and diamagnetic
susceptibility ...