Abstract

This paper is intended to present a systematic application of the hybrid systems framework to differential games. A special class of bimodal linear-quadratic differential games is presented and illustrated with examples; two particular classes of switching rules, time-dependent and state-dependent switches are discussed. The main contribution of the paper consists in formulating necessary optimality conditions for determining optimal strategies in both cooperative and non-cooperative cases. A practically relevant hybrid differential game of pollution reduction is considered to illustrate the developed framework.

Original languageEnglish
Pages (from-to)266-288
Number of pages23
JournalDynamic Games and Applications
Volume7
Issue number2
DOIs
Publication statusPublished - Jun 2017

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Differential Games
Hybrid systems
Pollution
Switches
Quadratic Differentials
Necessary Optimality Conditions
Bimodal
Optimal Strategy
Hybrid Systems
Switch
Dependent
Class
Framework

Cite this

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title = "On a Class of Hybrid Differential Games",
abstract = "This paper is intended to present a systematic application of the hybrid systems framework to differential games. A special class of bimodal linear-quadratic differential games is presented and illustrated with examples; two particular classes of switching rules, time-dependent and state-dependent switches are discussed. The main contribution of the paper consists in formulating necessary optimality conditions for determining optimal strategies in both cooperative and non-cooperative cases. A practically relevant hybrid differential game of pollution reduction is considered to illustrate the developed framework.",
keywords = "Differential game, Hybrid system, Cooperative game, Nash equilibrium, Pollution control, SYSTEMS, POLLUTION, OPTIMALITY, HORIZON, COSTS",
author = "Dmitry Gromov and Ekaterina Gromova",
year = "2017",
month = "6",
doi = "10.1007/s13235-016-0185-3",
language = "Английский",
volume = "7",
pages = "266--288",
journal = "Dynamic Games and Applications",
issn = "2153-0785",
publisher = "Springer",
number = "2",

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T1 - On a Class of Hybrid Differential Games

AU - Gromov, Dmitry

AU - Gromova, Ekaterina

PY - 2017/6

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AB - This paper is intended to present a systematic application of the hybrid systems framework to differential games. A special class of bimodal linear-quadratic differential games is presented and illustrated with examples; two particular classes of switching rules, time-dependent and state-dependent switches are discussed. The main contribution of the paper consists in formulating necessary optimality conditions for determining optimal strategies in both cooperative and non-cooperative cases. A practically relevant hybrid differential game of pollution reduction is considered to illustrate the developed framework.

KW - Differential game

KW - Hybrid system

KW - Cooperative game

KW - Nash equilibrium

KW - Pollution control

KW - SYSTEMS

KW - POLLUTION

KW - OPTIMALITY

KW - HORIZON

KW - COSTS

U2 - 10.1007/s13235-016-0185-3

DO - 10.1007/s13235-016-0185-3

M3 - статья

VL - 7

SP - 266

EP - 288

JO - Dynamic Games and Applications

JF - Dynamic Games and Applications

SN - 2153-0785

IS - 2

ER -