Energy approach to stability analysis of the linear stationary dynamic systems

DOI10.1134/S0005117916120043zbMath1357.93073OpenAlexW2565806538MaRDI QIDQ517333

I. B. Yadykin, Alexey Iskakov

Publication date: 23 March 2017

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

Full work available at URL: https://doi.org/10.1134/s0005117916120043

zbMATH Keywords

stabilityspectral decompositiondecomposition of a square \(\mathrm{H}_{2}\) norm of the transfer functioneigenvalues of the system matrixlinear continuous stationary dynamic systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Eigenvalue problems (93B60) Control/observation systems governed by ordinary differential equations (93C15)

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Spectral and modal methods for studying stability and control of electric power systems, Spectral decompositions of Gramians and energy metrics of continuous unstable control systems, A comparison of sub-Gramian analysis with eigenvalue analysis for stability estimation of large dynamical systems

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