A low rank ode based technique for numerical approximation of lower bounds of structured singular value

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F24%3A00616593" target="_blank" >RIV/60077344:_____/24:00616593 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1216/rmj.2024.54.245" target="_blank" >https://doi.org/10.1216/rmj.2024.54.245</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1216/rmj.2024.54.245" target="_blank" >10.1216/rmj.2024.54.245</a>

Result language
angličtina
Original language name
A low rank ode based technique for numerical approximation of lower bounds of structured singular value
Original language description
The structured singular value is a well-known mathematical quantity which plays a vital role in the investigation of the stability, instability, robustness and performance of linear input and output systems in control. We present an iterative method for the approximation of the lower bounds of structured singular values. The iterative method is based on low rank ordinary differential equations and is restricted to performing when pure complex full block uncertainties are under consideration. Numerical experimentation shows the behavior of lower and upper bounds of structured singular values. Furthermore, we investigate and analyze graphically the behavior of eigenvalues and singular values. The pseudospectrum of three-dimensional real valued matrices is inspected with the help of EigTool.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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