Results 231 to 240 of about 18,357 (310)

Linear-quadratic-singular stochastic differential games and applications

Decisions in Economics and Finance, 2023
We consider a class of non-cooperative N-player nonzero-sum stochastic differential games with singular controls, in which each player can affect a linear stochastic differential equation in order to minimize a cost functional which is quadratic in the ...
Jodi Dianetti
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Differential Games with the Langenhop Type Constrains on Controls

Lobachevskii Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samatov, B. T., Umaraliyeva, N. T., Uralova, S. I.   +2 more
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Zero-sum differential games-based fast adaptive robust optimal sliding mode control design for uncertain missile autopilot with constrained input

International Journal of Control, 2021
This paper designs a novel adaptive robust optimal sliding mode control (SMC) strategy for constrained input missile system with uncertain input and unknown disturbance. First, a smooth function is employed to map the constrained input.
Yuxin Gao, Chunsheng Liu, Sen Jiang, Shaojie Zhang   +3 more
semanticscholar   +1 more source

Online Inverse Linear-Quadratic Differential Games Applied to Human Behavior Identification in Shared Control

European Control Conference, 2021
In this paper, we propose an inverse differential game method for the online identication of cost function parameters in a shared control situation, where several players simultaneously control a dynamic system.
Jairo Inga, A. Creutz, S. Hohmann
semanticscholar   +1 more source

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
openaire   +2 more sources

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.
openaire   +1 more source

The Synthesis of Optimal Control Laws Using Isaacs’ Method for the Solution of Differential Games

Journal of Optimization Theory and Applications, 2021
In this paper we advocate for Isaacs’ method for the solution of differential games to be applied to the solution of optimal control problems. To make the argument, the vehicle employed is Pontryagin’s canonical optimal control example, which entails a ...
M. Pachter, Isaac E. Weintraub
semanticscholar   +1 more source

PACE: A Framework for Learning and Control in Linear Incomplete-Information Differential Games

Conference on Learning for Dynamics & Control
In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for solving general-sum
Seyed Yousef Soltanian, Wenlong Zhang
semanticscholar   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources