Email this article Generalization of the Internal Approximation Method for the Simultaneous Stabilization Problem
- Authors: Il’in A.V.1,2,3, Fursov A.S.1,2,4,5,6, Maltseva A.V.2
-
Affiliations:
- Department of Mathematics, School of Science
- Lomonosov Moscow State University
- Center of Information Technologies in Design of the Russian Academy of Sciences
- Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
- Bauman Moscow State Technical University
- Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
- Issue: Vol 54, No 12 (2018)
- Pages: 1669-1673
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154906
- DOI: https://doi.org/10.1134/S0012266118120121
- ID: 154906
Cite item
Open Access
Access granted
Subscription Access
Abstract
We develop the internal approximation method for constructing algorithms that allow one to seek stability sets for finite families of homogeneous affine polynomials. Under certain assumptions, the complex problem of synthesis of a simultaneously stabilizing controller for a given finite family of linear stationary dynamic plants can be reduced to such a problem.
About the authors
A. V. Il’in
Department of Mathematics, School of Science; Lomonosov Moscow State University; Center of Information Technologies in Design of the Russian Academy of Sciences
Author for correspondence.
Email: iline@cs.msu.su
China, Hangzhou, 310018; Moscow, 119991; Moscow oblast, Odintsovo, 143003
A. S. Fursov
Department of Mathematics, School of Science; Lomonosov Moscow State University; Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences; Bauman Moscow State Technical University; Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
Email: iline@cs.msu.su
China, Hangzhou, 310018; Moscow, 119991; Moscow, 117997; Moscow, 105005; Moscow, 127051
A. V. Maltseva
Lomonosov Moscow State University
Email: iline@cs.msu.su
Russian Federation, Moscow, 119991
Supplementary files
