scholarly journals Synthesis of controls in a single-type game problem of pulse meeting at fixed time with a terminal set in the form of a ring

2017 ◽  
Vol 27 (1) ◽  
pp. 69-85 ◽  
Author(s):  
V.I. Ukhobotov ◽  
◽  
I.V. Izmest'ev ◽  
Keyword(s):  
Fixed Time ◽  
Game Problem ◽  
Single Type ◽  
Terminal Set

scholarly journals Discrete game problem with ring-shaped terminal set

2020 ◽  
Vol 30 (1) ◽  
pp. 18-30
Author(s):  
I.V. Izmest'ev
Keyword(s):  
Computer Simulation ◽  
Original Problem ◽  
Finite Dimension ◽  
Fixed Time ◽  
Game Problem ◽  
Optimal Controls ◽  
Fixed Duration ◽  
Phase Vector ◽  
Terminal Set ◽  
Discrete Game

In a normed space of finite dimension a discrete game problem with fixed duration is considered. The terminal set is determined by the condition that the norm of the phase vector belongs to a segment with positive ends. In this paper, a set defined by this condition is called a ring. The aim of the first player is to lead a phase vector to the terminal set at fixed time. The aim of the second player is the opposite. In this paper, optimal controls of the players are constructed. Computer simulation of the game process is performed. A modification of the original problem, in which at an unknown time there is a change in the dynamics of the first player, is considered.

scholarly journals On a discrete game problem with non-convex control vectograms

2021 ◽  
Vol 58 ◽  
pp. 48-58
Author(s):  
I.V. Izmestyev ◽  
V.I. Ukhobotov
Keyword(s):  
Finite Dimension ◽  
Fixed Time ◽  
Game Problem ◽  
Optimal Controls ◽  
Fixed Duration ◽  
Phase Vector ◽  
Terminal Set ◽  
Necessary And Sufficient ◽  
Convex Control ◽  
Discrete Game

In a normed space of finite dimension, a discrete game problem with fixed duration is considered. The terminal set is determined by the condition that the norm of the phase vector belongs to a segment with positive ends. In this paper, a set defined by this condition is called a ring. At each moment, the vectogram of the first player's controls is a certain ring. The controls of the second player at each moment are taken from balls with given radii. The goal of the first player is to lead a phase vector to the terminal set at a fixed time. The goal of the second player is the opposite. In this paper, necessary and sufficient termination conditions are found, and optimal controls of the players are constructed.

scholarly journals Single-type problem of pulse meeting in fixed time with terminal set in form of a ring

2015 ◽  
Vol 25 (2) ◽  
pp. 197-211 ◽  
Author(s):  
V.I. Ukhobotov ◽  
◽  
I.V. Izmest'ev ◽  
Keyword(s):  
Fixed Time ◽  
Single Type ◽  
Type Problem ◽  
Terminal Set

On solving a game problem of approach at a fixed time

2010 ◽  
Vol 269 (S1) ◽  
pp. 285-296
Author(s):  
V. N. Ushakov ◽  
D. K. Mikhalev ◽  
I. V. Baidosov
Keyword(s):  
Fixed Time ◽  
Game Problem

scholarly journals One Game Problem for Oscillatory Systems

2021 ◽  
pp. 5-15
Author(s):  
Greta Chikrii
Keyword(s):  
Differential Game ◽  
Direct Method ◽  
Game Problem ◽  
Oscillatory Systems ◽  
Terminal Set ◽  
Damped Oscillations ◽  
Pontryagin’S Condition ◽  
Linear Differential ◽  
Second Order Systems ◽  
Time Stretching

The paper concerns the linear differential game of approaching a cylindrical terminal set. We study the case when classic Pontryagin’s condition does not hold. Instead, the modified considerably weaker condition, dealing with the function of time stretching, is used. The latter allows expanding the range of problems susceptible to analytical solution by the way of passing to the game with delayed information. Investigation is carried out in the frames of Pontryagin’s First Direct method that provides hitting the terminal set by a trajectory of the conflict-controlled process at finite instant of time. In so doing, the pursuer’s control, realizing the game goal, is constructed on the basis of the Filippov-Castaing theorem on measurable choice. The outlined scheme is applied to solving the problem of pursuit for two different second-order systems, describing damped oscillations. For this game, we constructed the function of time stretching and deduced conditions on the game parameters, ensuring termination of the game at a finite instant of time, starting from arbitrary initial states and under all admissible controls of the evader. Keywords: differential game, time-variable information delay, Pontryagin’s condition, Aumann’s integral, principle of time stretching, Minkowski’ difference, damped oscillations.

Hope, exploration, and equilibrated action schemes

2019 ◽  
Vol 42 ◽  
Author(s):  
Davood G. Gozli ◽  
Ci Jun Gao
Keyword(s):  
Single Type ◽  
Reward Seeking ◽  
Stable Scheme

AbstractThe concepts want, hope, and exploration cannot be organized in relation to a single type of motive (e.g., motive for food). They require, in addition, the motive for acquiring and maintaining a stable scheme that enables reward-directed activity. Facing unpredictability, the animal has to seek not only reward, but also a new equilibrated state within which reward seeking is possible.

The brain structure and neurosecretory cells of noctuid moth Anadevidia peponis: Noctuidae

1990 ◽  
Vol 48 (3) ◽  
pp. 436-437
Author(s):  
M. Sato ◽  
Y. Ogawa ◽  
M. Sasaki ◽  
T. Matsuo
Keyword(s):  
Biological Clock ◽  
Virgin Female ◽  
Basic Structure ◽  
Fixed Time ◽  
Neurosecretory Cells ◽  
Nerve Cells ◽  
Noctuid Moth ◽  
The Right ◽  
20 Nm ◽  
The Brain

A virgin female of the noctuid moth, a kind of noctuidae that eats cucumis, etc. performs calling at a fixed time of each day, depending on the length of a day. The photoreceptors that induce this calling are located around the neurosecretory cells (NSC) in the central portion of the protocerebrum. Besides, it is considered that the female’s biological clock is located also in the cerebral lobe. In order to elucidate the calling and the function of the biological clock, it is necessary to clarify the basic structure of the brain. The observation results of 12 or 30 day-old noctuid moths showed that their brains are basically composed of an outer and an inner portion-neural lamella (about 2.5 μm) of collagen fibril and perineurium cells. Furthermore, nerve cells surround the cerebral lobes, in which NSCs, mushroom bodies, and central nerve cells, etc. are observed. The NSCs are large-sized (20 to 30 μm dia.) cells, which are located in the pons intercerebralis of the head section and at the rear of the mushroom body (two each on the right and left). Furthermore, the cells were classified into two types: one having many free ribosoms 15 to 20 nm in dia. and the other having granules 150 to 350 nm in dia. (Fig. 1).

Microscopic Structure of Er-Related Optically Active Centers in Si

2003 ◽  
Vol 770 ◽  
Author(s):  
H. Przybylinska ◽  
N. Q. Vinh ◽  
B.A. Andreev ◽  
Z. F. Krasil'nik ◽  
T. Gregorkiewicz
Keyword(s):  
Ground State ◽  
Photoluminescence Spectrum ◽  
Zeeman Effect ◽  
Optically Active ◽  
Single Type ◽  
Active Centers ◽  
Mbe Growth ◽  
Spectral Components ◽  
Er Doped ◽  
Successful Observation

AbstractA successful observation and analysis of the Zeeman effect on the near 1.54 μm photoluminescence spectrum in Er-doped crystalline MBE-grown silicon are reported. A clearly resolved splitting of 5 major spectral components was observed in magnetic fields up to 5.5 T. Based on the analysis of the data the symmetry of the dominant optically active center was conclusively established as orthorhombic I (C2v), with g‼≈18.4 and g⊥≈0 in the ground state. The fact that g⊥≈0 explains why EPR detection of Er-related optically active centers in silicon may be difficult. Preferential generation of a single type of an optically active Er-related center in MBE growth confirmed in this study is essential for photonic applications of Si:Er.

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