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Decoupling with Stability of Linear Systems by Static-State Feedback

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F21%3A00344050" target="_blank" >RIV/68407700:21730/21:00344050 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1109/TAC.2020.3031008" target="_blank" >https://doi.org/10.1109/TAC.2020.3031008</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/TAC.2020.3031008" target="_blank" >10.1109/TAC.2020.3031008</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Decoupling with Stability of Linear Systems by Static-State Feedback

  • Original language description

    A solution is presented to a long-standing open problem of control theory, the decoupling of linear systems using static-state feedback while assuring stability. Both diagonal and block decoupling is considered. The earliest known investigation of system decoupling dates back to 1934 and all past stable solutions were obtained under restrictive assumptions on system, block structure, or on a particular form of the control law. Most often, the results were limited to regular state feedback. The present formulation avoids restrictive hypotheses. The system is stabilized first and then decoupled while preserving stability. The existence of decoupling feedback is conditioned by system invariants with respect to the group of stability-preserving decoupling transformations. Since nonregular state feedback is authorized, some well-known results of regular decoupling are not retained. In particular, the presence of interconnection zeros does not prevent a stable decoupling to be achievable.

  • 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/EF15_003%2F0000466" target="_blank" >EF15_003/0000466: Artificial Intelligence and Reasoning</a><br>

  • Continuities

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

Others

  • Publication year

    2021

  • 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 Automatic Control

  • ISSN

    0018-9286

  • e-ISSN

    1558-2523

  • Volume of the periodical

    66

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    4684-4699

  • UT code for WoS article

    000698859900018

  • EID of the result in the Scopus database

    2-s2.0-85115974157