Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

The Versatile Cross Gramian for System Theoretic Model Reduction and More

View through CrossRef
For input-output systems, the cross gramian matrix encodes controllability and observability information into a single matrix, which are essential to system-theoretic applications. This system gramian can be used, in example, for model order reduction, sensitivity analysis, system identification, decentralized control and parameter identification. Beyond linear symmetric systems, the cross gramian is also available for parametric, non-symmetric, non-square and nonlinear systems.
Title: The Versatile Cross Gramian for System Theoretic Model Reduction and More
Description:
For input-output systems, the cross gramian matrix encodes controllability and observability information into a single matrix, which are essential to system-theoretic applications.
This system gramian can be used, in example, for model order reduction, sensitivity analysis, system identification, decentralized control and parameter identification.
Beyond linear symmetric systems, the cross gramian is also available for parametric, non-symmetric, non-square and nonlinear systems.

Related Results

System identification based on the cross Gramian
System identification based on the cross Gramian
In order to make mechanical structures more reliable, research is being carried out into methods of detecting and localizing damage to structures, known as Structural Health Monito...
emgr—The Empirical Gramian Framework
emgr—The Empirical Gramian Framework
System Gramian matrices are a well-known encoding for properties of input-output systems such as controllability, observability or minimality. These so-called system Gramians were ...
Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms
Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms
The application of transformations of the state equations of continuous linear and bilinear systems to the canonical form of controllability allows one to simplify the computation ...
Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms
Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms
The application of transformations of the state equations of continuous linear and bilinear systems to the canonical form of controllability allows one to simplify the computation ...
Eigenvalues and Eigenvectors in Controllability Analysis
Eigenvalues and Eigenvectors in Controllability Analysis
This chapter demonstrates the effectiveness of spectral theory in analyzing controllability property of linear and non-linear systems. System design, which is at the core of contro...
emgr – EMpirical GRamian Framework Version 5.99
emgr – EMpirical GRamian Framework Version 5.99
Version 5.99 of the empirical Gramian framework – emgr – completes a development cycle which focused on parametric model order reduction of gas network mode...
Stability analysis of large‐scale dynamical systems by sub‐Gramian approach
Stability analysis of large‐scale dynamical systems by sub‐Gramian approach
SUMMARYIn this paper, we consider two methods for solving differential and algebraic Lyapunov equations in the time and frequency domains. Solutions of these equations are finite a...
Papers on pragmasemantics
Papers on pragmasemantics
Optimality theory as used in linguistics (Prince & Smolensky, 1993/2004; Smolensky & Legendre, 2006) and cognitive psychology (Gigerenzer & Selten, 2001) is a theoretic...

Back to Top