Spectral decompositions of Gramians and energy metrics of continuous unstable control systems

DOI10.1134/s0005117923100120OpenAlexW4392148656MaRDI QIDQ6119331

I. B. Yadykin, I. A. Galyaev

Publication date: 29 February 2024

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

Full work available at URL: https://doi.org/10.1134/s0005117923100120

zbMATH Keywords

Lyapunov equationenergy functionalsinverse matrix of Gramiansspectral decompositions of Gramiansstability that takes into account the interaction between modesunstable control systems

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Observability (93B07) Algebraic methods (93B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy approach to stability analysis of the linear stationary dynamic systems
• An algorithmic approach for system decomposition and balanced realized model reduction
• A Faddeev sequence method for solving Lyapunov and Sylvester equations
• 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 the solution of the continuous-time Lyapunov matrix equation in two canonical forms
• A Schur method for balanced-truncation model reduction
• Balanced realization and model reduction for unstable systems
• Sensor And Actuator Location In Motion Control Of Flexible Structures
• Model Reduction Based Approximation of the Output Controllability Gramian in Large-Scale Networks
• Degree of controllability for linear unstable systems
• Controllability Metrics, Limitations and Algorithms for Complex Networks
• Approximation of Large-Scale Dynamical Systems
• A review of methods for input/output selection

This page was built for publication: Spectral decompositions of Gramians and energy metrics of continuous unstable control systems