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