Linear Differential Pursuit Game with Impulse Control and Linear Integral Constraint of Controls of Players

2020 ◽  
Vol 245 (1) ◽  
pp. 23-39
Author(s):  
M. Tukhtasinov
Keyword(s):  
Impulse Control ◽  
Integral Constraint ◽  
Pursuit Game ◽  
Differential Pursuit ◽  
Linear Differential ◽  
Linear Integral

A Generalization of Picard's Method of Successive Approximation

1936 ◽  
Vol 32 (1) ◽  
pp. 86-95 ◽  
Author(s):  
H. O. Hirschfeld
Keyword(s):  
Differential Equation ◽  
Integral Equation ◽  
Boundary Value Problem ◽  
Linear Differential Equation ◽  
Successive Approximation ◽  
Linear Integral Equation ◽  
Non Linear ◽  
Linear Differential ◽  
Linear Integral ◽  
Image Position

It is well known that the boundary value problem for the non-linear differential equationcan be reduced with help of a Green's function K (x, ξ) to a non-linear integral equation of the type

Iso-Conversional and Isokinetic Methods of Analysis of Non-Isothermal Crystallization in Ti50Cu20Ni30 Metallic Glass

2011 ◽  
Vol 171 ◽  
pp. 107-119
Author(s):  
Heena Dhurandhar ◽  
T. Lilly Shanker Rao ◽  
Kirit N. Lad ◽  
Arun Pratap
Keyword(s):  
Metallic Glass ◽  
Isoconversional Methods ◽  
Isoconversional Method ◽  
Scanning Calorimetry ◽  
Model Free ◽  
True Value ◽  
Linear Differential ◽  
Linear Integral ◽  
Kinetics Of

The crystallization kinetics of metallic glass Ti50Cu20Ni30 has been studied using Differential Scanning Calorimetry (DSC). The DSC thermograms have been analysed using the model-free isoconversional methods and model dependent isokinetic methods. The activation energy(E) for the crystallization process has been determined utilizing; (i) various linear integral isoconversional methods, namely, Ozawa-Flynn-Wall, Kissinger-Akahira-Sunose, Li Tang method (ii) linear differential isoconversional method and (iii) different isokinetic methods. In the present work, we intend to the determination of true value of E. The above methods are found to give consistent results for E.

scholarly journals Minimization of energy costs for UAV management in a conflict task

2021 ◽  
Vol 279 ◽  
pp. 01006
Author(s):  
Viktor Lapshin ◽  
Stanislav Ivanov
Keyword(s):  
Control Strategy ◽  
Game Problem ◽  
Energy Losses ◽  
Energy Costs ◽  
State Variables ◽  
Conflict Task ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit ◽  
Linear Differential

This article considers the method of developing an evader control strategy in the non-linear differential pursuit-evasion game problem. It is assumed that the pursuer resorts to the most probable control strategy in order to capture the evader and that at each moment the evader knows its own and the enemy’s physical capabilities. This assumption allows to bring the game problem down to the problem of a unilateral evader control, with the condition of reaching a saddle point not obligatory to be fulfilled. The control is realised in the form of synthesis and additionally ensures that the requirements for bringing the evader to a specified area with terminal optimization of certain state variables are satisfiedt. The solution of this problem will significantly reduce the energy losses for controlling an unmanned vehicle, the possible effect is to save 15-20 % of fuel with a probability of 0.98, to solve the problem of chasing the enemy.

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