An application of Pontryagin's maximum principle in a linear quadratic differential game.

QR Code

An application of Pontryagin's maximum principle in a linear quadratic differential game.

This paper deals with a class of two person zero-sum linear quadratic differential games, where the control functions for both players are subject to integral constraints. The duration of game is fixed. We obtain the necessary conditions of the Maximum Principle and also optimal control by using me...

Full description

Bibliographic Details
Main Authors:	Khakestari, Marzieh, Suleiman, Mohamed
Format:	Article
Language:	English English
Published:	Canadian Center of Science and Education 2011
Online Access:	http://psasir.upm.edu.my/id/eprint/25051/ http://psasir.upm.edu.my/id/eprint/25051/1/An%20application%20of%20Pontryagin.pdf

Similar Items

Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
by: Khakestari, Marzieh, et al.
Published: (2012)

Linear pursuit-evasion differential games with integral constraints on control functions.
by: Khakestari, Marzieh
Published: (2011)

On a linear differential game of optimal approach of many pursuers with one evader
by: Kuchkarov, Atamurat Shamuratovich, et al.
Published: (2013)

Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
by: Ibragimov, Gafurjan I., et al.
Published: (2012)

Optimal control of information in social network using pontryagin's maximum/minimum principle / Visnu Varatan Arumugham
by: Visnu Varatan, Arumugham
Published: (2018)

Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
by: Ang, Tau Keong
Published: (2020)

Solution of a linear pursuit-evasion game with integral constraints.
by: Ibragimov, Gafurjan I., et al.
Published: (2011)

Cheeger-Simons differential characters with compact support and Pontryagin duality
by: Becker, Christian, et al.
Published: (2017)

Maximum principle via Malliavin calculus for regular-singular stochastic differential games
by: Wang, Y., et al.
Published: (2017)

A New Feedback Form of Open-Loop Stackelberg Strategy in a General Linear-Quadratic Differential Game
by: Li, Y., et al.
Published: (2023)

Evaluation performance of linear quadratic regulator and linear quadratic gaussian controllers on quadrotor platform
by: Okasha, Mohamed Elsayed Aly Abd Elaziz, et al.
Published: (2018)

Performance evaluation of linear quadratic regulator and linear quadratic Gaussian controllers on quadrotor platform
by: Islam, Maidul, et al.
Published: (2019)

Optimal strategies of players in linear differential games.
by: Salimi, Mehdi
Published: (2011)

On linearization of quadratic stochastic operators
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

On linearization of quadratic stochastic operators
by: Ganikhodjaev, Nasir, et al.
Published: (2009)

Sufficient conditions for evasion in a linear differential game.
by: Ibragimov, Gafurjan, et al.
Published: (2011)

Gain scheduled linear quadratic control for quadcopter
by: Okasha, Mohamed Elsayed Aly Abd Elaziz, et al.
Published: (2017)

Gain scheduled integral linear quadratic control for quadcopter
by: Shah, Jawad, et al.
Published: (2018)

Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods
by: Rajabi, Marzieh
Published: (2018)

Quadratic stochastic operators and zero-sum game dynamics
by: Ganikhodjaev, Nasir, et al.
Published: (2015)

Linear pursuit differential game under phase constraint on the state of evader
by: Rakhmanov, Askar, et al.
Published: (2016)

On quadratic stochastic processes and related differential equations
by: Mukhamedov, Farrukh, et al.
Published: (2013)

On regularity, transitivity, and ergodic principle for quadratic stochastic volterra operators
by: Saburov, Mansoor
Published: (2012)

Linear Quadratic State Feedback Design for Switched Linear Systems with Polytopic Uncertaities
by: Vu, Trieu Minh, et al.
Published: (2009)

Comparison between linear and quadratic models for Ganoderma classification
by: Husin, Nur Azuan, et al.
Published: (2018)

Linear quadratic gaussian (LQG) controller for inverted pendulum
by: Ahmad, Norhidayah
Published: (2013)

Generalized Finite-Horizon Linear-Quadratic Optimal Control
by: Ferrante, A., et al.
Published: (2014)

Linear quadratic optimal control based on dynamic compensation
by: Zhang, G., et al.
Published: (2012)

Linear quadratic optimal control based on dynamic compensation
by: Zhang, G., et al.
Published: (2010)

New results in single linear quadratic optimal control
by: Ferrante, A., et al.
Published: (2012)

Quadratic stochastic operators and evolutionary dynamics of zero-sum games
by: Ganikhodjaev, Nasir
Published: (2014)

Linear quadratic gaussian (LQG) controller design for servo motor
by: Wan Mohd, Wan Syahidah
Published: (2013)

Linear quadratic regulator (LQR) controller design for inverted pendulum
by: Alias, Nor Akmal
Published: (2013)

Linear quadratic optimal control via using dynamic compensator
by: Guoshan, Z., et al.
Published: (2012)

Linear quadratic regulator (LQR) controller design for DC motor speed using matlab application
by: Mohd Redha, Rajab
Published: (2008)

Sliding mode control with linear quadratic hyperplane design : an application to an active magnetic bearing system
by: Husain, Abdul Rashid
Published: (2007)

Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
by: Ibragimov, Gafurjan, et al.

A unified approach to the finite-horizon linear quadratic optimal control problem
by: Ferrante, A., et al.
Published: (2007)

Linear Quadratic Control Problem subject To Nonregular and Rectangular Descriptor Systems
by: Muhafzan,
Published: (2007)

Linear quadratic regulator with genetic algorithm for flexible structures vibration control
by: Jafari, Mohammad
Published: (2015)