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Distributed Differential Graphical Game for Control of Double-Integrator Multi-Agent Systems with Input Delay

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00374542" target="_blank" >RIV/68407700:21230/24:00374542 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1109/TCNS.2024.3371594" target="_blank" >https://doi.org/10.1109/TCNS.2024.3371594</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/TCNS.2024.3371594" target="_blank" >10.1109/TCNS.2024.3371594</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Distributed Differential Graphical Game for Control of Double-Integrator Multi-Agent Systems with Input Delay

  • Original language description

    This paper studies cooperative control of noncooperative double-integrator multi-agent systems (MASs) with input delay on connected directed graphs in the context of a differential graphical game (DGG). In the distributed DGG, each agent seeks a distributed information control policy by optimizing an individual local performance index (PI) of distributed information from its graph neighbors. The local PI, which quadratically penalizes the agent's deviations from cooperative behavior (e.g., the consensus here), is constructed through the use of the graph Laplacian matrix. For DGGs for double-integrator MASs, the existing body of literature lacks the explicit characterization of Nash equilibrium actions and their associated state trajectories with distributed information. To address this issue, we first convert the N -player DGG with m communication links into m coupled optimal control problems (OCPs), which, in turn, convert to the two-point boundary-value problem (TPBVP). We derive the explicit solutions for the TPBV that constitute the explicit distributed information expressions for Nash equilibrium actions and the state trajectories associated with them for the DGG. An illustrative example verifies the explicit solutions of local information to achieve fully distributed consensus.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA23-07517S" target="_blank" >GA23-07517S: Agile swarms of aerial robots with reliable multimodal sensing and state-estimation capabilities</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    IEEE Transactions on Control of Network Systems

  • ISSN

    2325-5870

  • e-ISSN

    2372-2533

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    1949-1961

  • UT code for WoS article

    001413492800016

  • EID of the result in the Scopus database

    2-s2.0-85186979626