Energy approach to stability analysis of the linear stationary dynamic systems
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Publication:517333
DOI10.1134/S0005117916120043zbMath1357.93073OpenAlexW2565806538MaRDI QIDQ517333
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
stabilityspectral decompositiondecomposition of a square \(\mathrm{H}_{2}\) norm of the transfer functioneigenvalues of the system matrixlinear continuous stationary dynamic systems
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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Cites Work
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- On properties of gramians of continuous control systems
- Computational methods of linear algebra
- On the methods for calculation of Gramians and their use in analysis of linear dynamic systems
- Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
- On generalized balanced realizations
- Linear time-variable systems: Balancing and model reduction
- Stability analysis of large‐scale dynamical systems by sub‐Gramian approach
- Approximation of Large-Scale Dynamical Systems
