Comparison of Sub-Gramian Analysis with Eigenvalue Analysis for Stability Estimation of Large Dynamical Systems

In earlier works, solutions of Lyapunov equations were represented as sums of Hermitian matrices corresponding to individual eigenvalues of the system or their pairwise combinations. Each eigen-term in these expansions are called a sub-Gramian. In this paper, we derive spectral decompositions of the...

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Bibliographic Details
Published in:	Automation and remote control Vol. 79; no. 10; pp. 1767 - 1779
Main Authors:	Yadykin, I. B., Iskakov, A. B.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.10.2018 Springer Nature B.V
Subjects:	CAE) and Design Calculus of Variations and Optimal Control; Optimization Computer-Aided Engineering (CAD Control Control Problems for the Development of Large-Scale Systems Dynamic stability Dynamical systems Eigenvalues Mathematical analysis Mathematics Mathematics and Statistics Mechanical Engineering Mechatronics Oscillators Resonant interactions Robotics Stability analysis Systems Theory spectral expansions resonant interactions stability boundary estimation small signal stability analysis sub-Gramians Lyapunov equations large-scale systems
ISSN:	0005-1179, 1608-3032
Online Access:	Get full text
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