Results 11 to 20 of about 12,035 (291)

Simple motion pursuit differential game problem of many players with integral and geometric constraints on controls function.

open access: yesJournal of Nigerian Society of Physical Sciences, 2021
We study a simple motion pursuit differential game of many pursuers and one evader in a Hilbert space $l_{2}$. The control functions of the pursuers and evader are subject to integral and geometric constraints respectively.
Jamilu Adamu   +3 more
doaj   +1 more source

Controllers to Chase a High-Speed Evader Using a Pursuer with Variable Speed

open access: yesApplied Sciences, 2018
This paper proposes a chasing controller to enable a pursuer to chase a high-speed evader such that the relative distance between the evader and the pursuer monotonically decreases as time passes.
Jonghoek Kim
doaj   +1 more source

Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron

open access: yesMathematics, 2022
A differential game of m, 3≤m≤6, pursuers and one evader is studied on an icosahedron in R3. All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is
Gafurjan Ibragimov   +3 more
doaj   +1 more source

Characterizations and algorithms for generalized Cops and Robbers games [PDF]

open access: yes, 2016
We propose a definition of generalized Cops and Robbers games where there are two players, the Pursuer and the Evader, who each move via prescribed rules.
Bonato, Anthony, MacGillivray, Gary
core   +4 more sources

Differential Games for an Infinite 2-Systems of Differential Equations

open access: yesMathematics, 2021
A pursuit differential game described by an infinite system of 2-systems is studied in Hilbert space l2. Geometric constraints are imposed on control parameters of pursuer and evader.
Muminjon Tukhtasinov   +3 more
doaj   +1 more source

Evasion problem in linear parametric discrete games

open access: yesСовременная математика: Фундаментальные направления, 2023
We consider the evasion problem in the formulation by Pontryagin and Mishchenko for linear discrete games depending on a parameter. We obtain sufficient conditions and domains of parameter values that ensure the solvability of the evasion problem.
L. P. Yugay
doaj   +1 more source

On a Linear Differential Game in the Hilbert Space 2

open access: yesMathematics, 2023
Two player pursuit evasion differential game and time optimal zero control problem in ℓ2 are considered. Optimal control for the corresponding zero control problem is found.
Marks Ruziboev   +4 more
doaj   +1 more source

Linear Pursuit Differential Game under Phase Constraint on the State of Evader

open access: yesDiscrete Dynamics in Nature and Society, 2016
We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively.
Askar Rakhmanov   +2 more
doaj   +1 more source

On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints

open access: yesMathematics, 2023
In this paper, we consider a pursuit–evasion game of inertial players, where the pursuer’s control is subject to integral constraint and the evader’s control is subject to geometric constraint.
Bahrom Samatov   +3 more
doaj   +1 more source

Multiple Pursuer Multiple Evader Differential Games [PDF]

open access: yesIEEE Transactions on Automatic Control, 2021
In this paper an N-pursuer vs. M-evader team conflict is studied. The differential game of border defense is addressed and we focus on the game of degree in the region of the state space where the pursuers are able to win. This work extends classical differential game theory to simultaneously address weapon assignments and multi-player pursuit-evasion ...
Eloy García 0002   +3 more
openaire   +2 more sources

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