A remark on the simultaneous \(\alpha \)-stabilization of linear plants

DOI10.1134/S0012266109050103zbMath1171.93385OpenAlexW2038158520MaRDI QIDQ731536

A. S. Fursov, A. V. Kudritskii, Sergey K. Korovin

Publication date: 8 October 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109050103

zbMATH Keywords

linear scalar stationary plantssimultaneous \(\alpha\)-stabilization

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (13)

On the construction of a common stabilizer for families of linear nonstationary systems ⋮ Simultaneous stabilization of plants of various orders ⋮ Simultaneous stabilization: Construction of a universal stabilizer for linear plants with delay with the use of spectral reducibility ⋮ Multidimensional analog of the two-dimensional Perron effect of sign change of characteristic exponents for infinitely differentiable differential systems ⋮ Approach to simultaneous stabilization of linear dynamic plants with delay ⋮ A topological approach to the problem of existence of a common stabilizer for a family of dynamical systems ⋮ Realization of the Perron effect whereby the characteristic exponents of solutions of differential systems change their values ⋮ Generalization of the Perron effect whereby the characteristic exponents of all solutions of two differential systems change their sign from negative to positive ⋮ On a sufficient condition for the existence of a common stabilizer for a family of dynamical systems ⋮ Superstabilization of linear dynamic plants under operator disturbances ⋮ Topological approach to the simultaneous stabilization of plants with delay ⋮ Sufficient conditions for the existence of a common stabilizer for a family of linear nonstationary plants ⋮ Multidimensional Perron sign change effect for all characteristic exponents of differential systems

Cites Work

• On some approaches to the simultaneous stabilization of linear plants by a controller of a given structure
• Simultaneous stabilizability of three linear systems is rationally undecidable
• Single-loop feedback-stabilization of linear multivariable dynamical plants

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