EXISTENCE OF NASH EQUILIBRIUM IN DIFFERENTIAL GAME APPROACH TO FORMATION CONTROL

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F18%3A10241662" target="_blank" >RIV/61989100:27240/18:10241662 - isvavai.cz</a>
Result on the web
<a href="http://homel.vsb.cz/~luk76/publications/IJRA18.pdf" target="_blank" >http://homel.vsb.cz/~luk76/publications/IJRA18.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2316/Journal.206.2018.4.206-5308" target="_blank" >10.2316/Journal.206.2018.4.206-5308</a>

Result language
angličtina
Original language name
EXISTENCE OF NASH EQUILIBRIUM IN DIFFERENTIAL GAME APPROACH TO FORMATION CONTROL
Original language description
This paper considers the differential game approach to the leaderless formation control problem of a linear dynamical multi-robot system with directed graph topology. The formation requirement is formulated in terms of a finite-horizon quadratic cost function for each robot through the use of graph Laplacian and optimal control theory. The motion equations of robots and formation cost functions are the state equations and cost functions of the differential game. In the differential game approach, each robot can select its neighbours and implement distributed controllers; however, there is no guarantee that the formation control exists. The main contribution of this paper is a differential game formulation to formation control admitting a unique Nash equilibrium that ensures the existence of the formation control.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)