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May 22, 2026
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On Anisotropy-Based Control Problem with Regional Pole Assignment for Descriptor Systems

P. 12–17.
Belov A. A., Andrianova O.

In this paper, anisotropy-based control problem with
regional pole assignment for descriptor systems is investigated.
The purpose is to find a state-feedback control law, which guar-
antees desirable disturbance attenuation level from stochastic
input with unknown covariance to controllable output of the
closed-loop system, and ensures, that all finite eigenvalues of
the closed-loop system belong to the given region inside the
unit disk. The proposed control design procedure is based on
solving convex optimization problem with strict constraints. The
numerical effectiveness is illustrated by numerical example.

Language: English
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DOI
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Keywords: descriptor systems

In book

Proceedings of the 2017 21st International Conference on Process Control, PC 2017
IEEE, 2017.
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The problem of robust admissibilization with guaranteed random disturbance attenuation level for discrete-time time-invariant (LDTI) descriptor systems with norm-bounded uncertainties is considered. The input disturbance is supposed to be a stationary Gaussian sequence with bounded mean anisotropy level. The solutions to analysis and robust statefeedback control problems are formulated in terms of matrix inequalities. The obtained conditions are convex over ...
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Added: October 19, 2017
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