Results 251 to 260 of about 18,118 (305)

Differential Games with the Langenhop Type Constrains on Controls

Lobachevskii Journal of Mathematics, 2021
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Samatov, B. T., Umaraliyeva, N. T., Uralova, S. I.   +2 more
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A Differential Game of Evasion with Nonlinear Control

SIAM Journal on Control, 1974
A differential game of evasion in which the state is governed by an nth order differential equation is studied. The equation is linear in the state and its derivatives. Control is exercised through a nonlinear forcing term. A sufficient condition for evasion is given and the evasion strategy is obtained as a generalized solution of a Volterra integral ...
Gamkrelidze, R. V., Kharatishvili, G. L.
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Differential game with “lifeline” for Pontryagin's control example

Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2023
The main purpose of this work is to solve one of the main problems of Isaacs, i.e., a game with a “lifeline” for Pontryagin’s control example when both players have the same movement dynamics. To solve this problem, the pursuer is offered a strategy of parallel pursuit (briefly, $\Pi$-strategy), which ensures the fastest convergence of the players and ...
Samatov, Bahrom Tadjiahmatovich, Soyibboev, Ulmasjon Boykuzi ugli   +1 more
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A Differential Game Approach to Formation Control

IEEE Transactions on Control Systems Technology, 2008
This paper presents a differential game approach to formation control of mobile robots. The formation control is formulated as a linear-quadratic Nash differential game through the use of graph theory. Finite horizon cost function is discussed under the open-loop information structure.
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A differential dynamic games approach to flow control

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
Surge tanks are flow control devices, whose purpose is to smooth out the rate of change of flow of fluids passing from one process unit to another. Classical surge tanks controllers, such as PID, focus on regulating the volume of fluid in the surge tank at some 'safe' intermediate value, between overflow and emptying of the surge tank.
John M. C. Clark, Richard B. Vinter
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Pollution control: A differential game approach

Annals of Operations Research, 1992
The paper studies the relationships between two countries in a differential game setting where the control of each country is its emittance of pollutants. Each country wants to maximize its own welfare. The correspondence mathematical model consists of a one-dimensional differential equation in which the state represents the ``world wide'' stock of ...
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A differential game formulation of a controlled network

Queueing Systems, 2010
Consider a multiclass queueing network system with fixed routing. Let service control be one player; service rate, the other. This paper studies the resulting differential game. The main result of the paper is a simple representation of the value function; the proof however is hard. The paper computes a useful example.
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Differential Games with Impulse Control

2007
This chapter deals with the pursuit games in which players (pursuer, evader, or both) employ impulse control.We consider continuous-time dynamical systems modeled by ordinary differential equations that are affected by jumps in state at discrete instants. The moments of jump comply with the condition for a finite number of jumps in finite time.
Arkadii A. Chikrii, Ivan I. Matychyn, Kirill A. Chikrii   +2 more
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An experimental adaptive fuzzy controller for differential games

2009 IEEE International Conference on Systems, Man and Cybernetics, 2009
In this paper a reinforcement fuzzy learning scheme for robots playing a differential game is derived. A differential game may be considered a Markov decision process in continuous time, with continuous states and actions. The robots receive reinforcements from the environment after they take an action; and this reinforcement is then used to adapt a ...
Sidney Nascimento Givigi, Howard M. Schwartz, Xiaosong Lu   +2 more
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Min-Max Robust Control in LQ-Differential Games

Dynamic Games and Applications, 2022
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