Matrix sign function in the problems of analysis and design of the linear systems

DOI10.1007/s10513-008-2003-xzbMath1156.93019OpenAlexW4240531674MaRDI QIDQ1002869

M. Sh. Misrikhanov, V. N. Ryabchenko

Publication date: 26 February 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10513-008-2003-x

zbMATH Keywords

control theorymatrix sign functionpractical criteria for stability

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Eigenvalue problems (93B60) Eigenvalues, singular values, and eigenvectors (15A18) Stability of control systems (93D99)

Related Items (8)

Spectral and modal methods for studying stability and control of electric power systems ⋮ Numerically stable iterative methods for computing matrix sign function ⋮ Solution of the Lyapunov matrix differential equations by the frequency method ⋮ Numerically stable improved Chebyshev-Halley type schemes for matrix sign function ⋮ Stability analysis of large‐scale dynamical systems by sub‐Gramian approach ⋮ Synthesis of fast and superfast solvers of large systems of linear algebraic equations using control theory methods ⋮ New iterative methods for finding matrix sign function: derivation and application ⋮ Some matrix iterations for computing matrix sign function

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