Generalization of the Internal Approximation Method for the Simultaneous Stabilization Problem


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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.

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A. Il’in

Department of Mathematics, School of Science; Lomonosov Moscow State University; Center of Information Technologies in Design of the Russian Academy of Sciences

编辑信件的主要联系方式.
Email: iline@cs.msu.su
中国, Hangzhou, 310018; Moscow, 119991; Moscow oblast, Odintsovo, 143003

A. 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
中国, Hangzhou, 310018; Moscow, 119991; Moscow, 117997; Moscow, 105005; Moscow, 127051

A. Maltseva

Lomonosov Moscow State University

Email: iline@cs.msu.su
俄罗斯联邦, Moscow, 119991

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