A Spectral Method of the Analysis of Linear Control Systems
A spectral method of the analysis of linear control systems is considered. Within the framework of this approach the σ-entropy of input signals and the σ-entropy norm of systems are introduced. The invariance of the introduced norm makes it possible to get invariant results of σ-entropy analysis.
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| Format: | Article |
| Language: | English |
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Sciendo
2019-12-01
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| Series: | International Journal of Applied Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.2478/amcs-2019-0049 |
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Article |
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doaj-35e041a7feb0476d912c2f8064505eb22021-09-06T19:41:09ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922019-12-0129466767910.2478/amcs-2019-0049amcs-2019-0049A Spectral Method of the Analysis of Linear Control SystemsKurdyukov Alexander P.0Boichenko Victor A.1Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya Street, Moscow, RussiaInstitute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya Street, Moscow, RussiaA spectral method of the analysis of linear control systems is considered. Within the framework of this approach the σ-entropy of input signals and the σ-entropy norm of systems are introduced. The invariance of the introduced norm makes it possible to get invariant results of σ-entropy analysis.https://doi.org/10.2478/amcs-2019-0049anisotropy-based control theoryanisotropic normℋ2-normℋ∞-norm |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kurdyukov Alexander P. Boichenko Victor A. |
| spellingShingle |
Kurdyukov Alexander P. Boichenko Victor A. A Spectral Method of the Analysis of Linear Control Systems International Journal of Applied Mathematics and Computer Science anisotropy-based control theory anisotropic norm ℋ2-norm ℋ∞-norm |
| author_facet |
Kurdyukov Alexander P. Boichenko Victor A. |
| author_sort |
Kurdyukov Alexander P. |
| title |
A Spectral Method of the Analysis of Linear Control Systems |
| title_short |
A Spectral Method of the Analysis of Linear Control Systems |
| title_full |
A Spectral Method of the Analysis of Linear Control Systems |
| title_fullStr |
A Spectral Method of the Analysis of Linear Control Systems |
| title_full_unstemmed |
A Spectral Method of the Analysis of Linear Control Systems |
| title_sort |
spectral method of the analysis of linear control systems |
| publisher |
Sciendo |
| series |
International Journal of Applied Mathematics and Computer Science |
| issn |
2083-8492 |
| publishDate |
2019-12-01 |
| description |
A spectral method of the analysis of linear control systems is considered. Within the framework of this approach the σ-entropy of input signals and the σ-entropy norm of systems are introduced. The invariance of the introduced norm makes it possible to get invariant results of σ-entropy analysis. |
| topic |
anisotropy-based control theory anisotropic norm ℋ2-norm ℋ∞-norm |
| url |
https://doi.org/10.2478/amcs-2019-0049 |
| work_keys_str_mv |
AT kurdyukovalexanderp aspectralmethodoftheanalysisoflinearcontrolsystems AT boichenkovictora aspectralmethodoftheanalysisoflinearcontrolsystems AT kurdyukovalexanderp spectralmethodoftheanalysisoflinearcontrolsystems AT boichenkovictora spectralmethodoftheanalysisoflinearcontrolsystems |
| _version_ |
1717766974750064640 |